CBSE – Class 12 Questions
Maths
Q. Determine whether the relation R defined by R = {(x, y): y = x²} is a function.
A. Yes, because for every x there is a unique y = x².
Maths
Q. Find the domain of the function f(x) = √(5 − x).
A. For real values, 5 − x ≥ 0 ⇒ x ≤ 5.
Maths
Q. Evaluate sin⁻¹(sin 2π/3).
A. $$\sin^{-1}(\sin 2\pi/3) = \pi/3$$
Maths
Q. Find the order of the matrix A = [[1,2,3],[4,5,6]].
A. Matrix has 2 rows and 3 columns, so order is 2×3.
Maths
Q. If A is a square matrix, write the condition for A to be invertible.
A. Matrix A is invertible if det(A) ≠ 0.
Maths
Q. Evaluate det | 1 2 ; 3 4 |.
A. $$|A| = (1×4) − (2×3) = −2$$
Maths
Q. Find the area of triangle with vertices (1,2), (3,4), (5,6).
A. Area = 0, since points are collinear.
Maths
Q. Find the derivative of f(x) = x³.
A. $$f'(x) = 3x^2$$
Maths
Q. Check continuity of f(x)=|x| at x=0.
A. Left limit = Right limit = f(0), so function is continuous at x=0.
Maths
Q. Find the slope of tangent to y = x² at x = 1.
A. $$\frac{dy}{dx} = 2x ⇒ slope = 2$$
Maths
Q. Evaluate ∫ x² dx.
A. $$\int x^2 dx = \frac{x^3}{3} + C$$
Maths
Q. Evaluate ∫ sin x dx.
A. $$\int \sin x dx = −\cos x + C$$
Maths
Q. Write the formula for area under curve y = f(x).
A. $$Area = \int_a^b f(x) dx$$
Maths
Q. What is the order of differential equation (d²y/dx²)+dy/dx+y=0?
A. Order is 2.
Maths
Q. Find the magnitude of vector 3i + 4j.
A. $$|\vec{a}| = \sqrt{3^2 + 4^2} = 5$$
Maths
Q. Define dot product of two vectors.
A. $$\vec{a}·\vec{b} = |a||b|\cos\theta$$
Maths
Q. Find distance between points (1,2,3) and (4,5,6).
A. $$\sqrt{(3)^2+(3)^2+(3)^2}=3\sqrt{3}$$
Maths
Q. What is feasible region?
A. The common region satisfying all constraints.
Maths
Q. Find P(E) if probability of an event is 0.25.
A. P(E) = 0.25
Maths
Q. What is a quadratic equation? (Class 12)
A. An equation of degree two is called a quadratic equation.
Maths
Q. Solve x² - 4 = 0 (Class 12)
A. The solutions are x = 2 and x = -2.
Maths
Q. State Pythagoras theorem. (Class 12)
A. Square of hypotenuse equals sum of squares of other two sides.
Maths
Q. What is a quadratic equation? (Class 12)
A. An equation of degree two is called a quadratic equation.
Maths
Q. Solve x² - 4 = 0 (Class 12)
A. The solutions are x = 2 and x = -2.
Maths
Q. State Pythagoras theorem. (Class 12)
A. Square of hypotenuse equals sum of squares of other two sides.
Maths
Q. What is a quadratic equation? (Class 12)
A. An equation of degree two is called a quadratic equation.
Maths
Q. Solve x² - 4 = 0 (Class 12)
A. The solutions are x = 2 and x = -2.
Maths
Q. State Pythagoras theorem. (Class 12)
A. Square of hypotenuse equals sum of squares of other two sides.
Maths
Q. What is a quadratic equation? (Class 12)
A. An equation of degree two is called a quadratic equation.
Maths
Q. Solve x² - 4 = 0 (Class 12)
A. The solutions are x = 2 and x = -2.
Maths
Q. State Pythagoras theorem. (Class 12)
A. Square of hypotenuse equals sum of squares of other two sides.
Maths
Q. What is a quadratic equation? (Class 12)
A. An equation of degree two is called a quadratic equation.
Maths
Q. Solve x² - 4 = 0 (Class 12)
A. The solutions are x = 2 and x = -2.
Maths
Q. State Pythagoras theorem. (Class 12)
A. Square of hypotenuse equals sum of squares of other two sides.
Maths
Q. What is a quadratic equation? (Class 12)
A. An equation of degree two is called a quadratic equation.
Maths
Q. Solve x² - 4 = 0 (Class 12)
A. The solutions are x = 2 and x = -2.
Maths
Q. State Pythagoras theorem. (Class 12)
A. Square of hypotenuse equals sum of squares of other two sides.
Maths
Q. What is a quadratic equation? (Class 12)
A. An equation of degree two is called a quadratic equation.
Maths
Q. Solve x² - 4 = 0 (Class 12)
A. The solutions are x = 2 and x = -2.
Maths
Q. State Pythagoras theorem. (Class 12)
A. Square of hypotenuse equals sum of squares of other two sides.
Maths
Q. What is a quadratic equation? (Class 12)
A. An equation of degree two is called a quadratic equation.
Maths
Q. Solve x² - 4 = 0 (Class 12)
A. The solutions are x = 2 and x = -2.
Maths
Q. State Pythagoras theorem. (Class 12)
A. Square of hypotenuse equals sum of squares of other two sides.
Maths
Q. What is a quadratic equation? (Class 12)
A. An equation of degree two is called a quadratic equation.
Maths
Q. Solve x² - 4 = 0 (Class 12)
A. The solutions are x = 2 and x = -2.
Maths
Q. State Pythagoras theorem. (Class 12)
A. Square of hypotenuse equals sum of squares of other two sides.
Maths
Q. What is a quadratic equation? (Class 12)
A. An equation of degree two is called a quadratic equation.
Maths
Q. Solve x² - 4 = 0 (Class 12)
A. The solutions are x = 2 and x = -2.
Maths
Q. State Pythagoras theorem. (Class 12)
A. Square of hypotenuse equals sum of squares of other two sides.
Physics
Q. What is electric current? (Class 12)
A. Electric current is the rate of flow of electric charge.
Physics
Q. Define Ohm’s law. (Class 12)
A. Current through a conductor is proportional to voltage at constant temperature.
Physics
Q. What is reflection of light? (Class 12)
A. Bouncing back of light from a surface is called reflection.
Physics
Q. What is electric current? (Class 12)
A. Electric current is the rate of flow of electric charge.
Physics
Q. Define Ohm’s law. (Class 12)
A. Current through a conductor is proportional to voltage at constant temperature.
Physics
Q. What is reflection of light? (Class 12)
A. Bouncing back of light from a surface is called reflection.
Physics
Q. What is electric current? (Class 12)
A. Electric current is the rate of flow of electric charge.
Physics
Q. Define Ohm’s law. (Class 12)
A. Current through a conductor is proportional to voltage at constant temperature.
Physics
Q. What is reflection of light? (Class 12)
A. Bouncing back of light from a surface is called reflection.
Physics
Q. What is electric current? (Class 12)
A. Electric current is the rate of flow of electric charge.
Physics
Q. Define Ohm’s law. (Class 12)
A. Current through a conductor is proportional to voltage at constant temperature.
Physics
Q. What is reflection of light? (Class 12)
A. Bouncing back of light from a surface is called reflection.
Physics
Q. What is electric current? (Class 12)
A. Electric current is the rate of flow of electric charge.
Physics
Q. Define Ohm’s law. (Class 12)
A. Current through a conductor is proportional to voltage at constant temperature.
Physics
Q. What is reflection of light? (Class 12)
A. Bouncing back of light from a surface is called reflection.
Physics
Q. What is electric current? (Class 12)
A. Electric current is the rate of flow of electric charge.
Physics
Q. Define Ohm’s law. (Class 12)
A. Current through a conductor is proportional to voltage at constant temperature.
Physics
Q. What is reflection of light? (Class 12)
A. Bouncing back of light from a surface is called reflection.
Physics
Q. What is electric current? (Class 12)
A. Electric current is the rate of flow of electric charge.
Physics
Q. Define Ohm’s law. (Class 12)
A. Current through a conductor is proportional to voltage at constant temperature.
Physics
Q. What is reflection of light? (Class 12)
A. Bouncing back of light from a surface is called reflection.
Physics
Q. What is electric current? (Class 12)
A. Electric current is the rate of flow of electric charge.
Physics
Q. Define Ohm’s law. (Class 12)
A. Current through a conductor is proportional to voltage at constant temperature.
Physics
Q. What is reflection of light? (Class 12)
A. Bouncing back of light from a surface is called reflection.
Physics
Q. What is electric current? (Class 12)
A. Electric current is the rate of flow of electric charge.
Physics
Q. Define Ohm’s law. (Class 12)
A. Current through a conductor is proportional to voltage at constant temperature.
Physics
Q. What is reflection of light? (Class 12)
A. Bouncing back of light from a surface is called reflection.
Physics
Q. What is electric current? (Class 12)
A. Electric current is the rate of flow of electric charge.
Physics
Q. Define Ohm’s law. (Class 12)
A. Current through a conductor is proportional to voltage at constant temperature.
Physics
Q. What is reflection of light? (Class 12)
A. Bouncing back of light from a surface is called reflection.
Chemistry
Q. What is molarity? (Class 12)
A. Molarity is the number of moles of solute per litre of solution.
Chemistry
Q. Define acid. (Class 12)
A. An acid is a substance that produces H⁺ ions in aqueous solution.
Chemistry
Q. What is electrolysis? (Class 12)
A. Electrolysis is the process of chemical decomposition using electricity.
Chemistry
Q. What is molarity? (Class 12)
A. Molarity is the number of moles of solute per litre of solution.
Chemistry
Q. Define acid. (Class 12)
A. An acid is a substance that produces H⁺ ions in aqueous solution.
Chemistry
Q. What is electrolysis? (Class 12)
A. Electrolysis is the process of chemical decomposition using electricity.
Chemistry
Q. What is molarity? (Class 12)
A. Molarity is the number of moles of solute per litre of solution.
Chemistry
Q. Define acid. (Class 12)
A. An acid is a substance that produces H⁺ ions in aqueous solution.
Chemistry
Q. What is electrolysis? (Class 12)
A. Electrolysis is the process of chemical decomposition using electricity.
Chemistry
Q. What is molarity? (Class 12)
A. Molarity is the number of moles of solute per litre of solution.
Chemistry
Q. Define acid. (Class 12)
A. An acid is a substance that produces H⁺ ions in aqueous solution.
Chemistry
Q. What is electrolysis? (Class 12)
A. Electrolysis is the process of chemical decomposition using electricity.
Chemistry
Q. What is molarity? (Class 12)
A. Molarity is the number of moles of solute per litre of solution.
Chemistry
Q. Define acid. (Class 12)
A. An acid is a substance that produces H⁺ ions in aqueous solution.
Chemistry
Q. What is electrolysis? (Class 12)
A. Electrolysis is the process of chemical decomposition using electricity.
Chemistry
Q. What is molarity? (Class 12)
A. Molarity is the number of moles of solute per litre of solution.
Chemistry
Q. Define acid. (Class 12)
A. An acid is a substance that produces H⁺ ions in aqueous solution.
Chemistry
Q. What is electrolysis? (Class 12)
A. Electrolysis is the process of chemical decomposition using electricity.
Chemistry
Q. What is molarity? (Class 12)
A. Molarity is the number of moles of solute per litre of solution.
Chemistry
Q. Define acid. (Class 12)
A. An acid is a substance that produces H⁺ ions in aqueous solution.
Chemistry
Q. What is electrolysis? (Class 12)
A. Electrolysis is the process of chemical decomposition using electricity.
Chemistry
Q. What is molarity? (Class 12)
A. Molarity is the number of moles of solute per litre of solution.
Chemistry
Q. Define acid. (Class 12)
A. An acid is a substance that produces H⁺ ions in aqueous solution.
Chemistry
Q. What is electrolysis? (Class 12)
A. Electrolysis is the process of chemical decomposition using electricity.
Chemistry
Q. What is molarity? (Class 12)
A. Molarity is the number of moles of solute per litre of solution.
Chemistry
Q. Define acid. (Class 12)
A. An acid is a substance that produces H⁺ ions in aqueous solution.
Chemistry
Q. What is electrolysis? (Class 12)
A. Electrolysis is the process of chemical decomposition using electricity.
Chemistry
Q. What is molarity? (Class 12)
A. Molarity is the number of moles of solute per litre of solution.
Chemistry
Q. Define acid. (Class 12)
A. An acid is a substance that produces H⁺ ions in aqueous solution.
Chemistry
Q. What is electrolysis? (Class 12)
A. Electrolysis is the process of chemical decomposition using electricity.
Biology
Q. What is DNA? (Class 12)
A. DNA is the genetic material that carries hereditary information.
Biology
Q. Define photosynthesis. (Class 12)
A. Photosynthesis is the process by which plants make food.
Biology
Q. What is respiration? (Class 12)
A. Respiration is the process of releasing energy from food.
Biology
Q. What is DNA? (Class 12)
A. DNA is the genetic material that carries hereditary information.
Biology
Q. Define photosynthesis. (Class 12)
A. Photosynthesis is the process by which plants make food.
Biology
Q. What is respiration? (Class 12)
A. Respiration is the process of releasing energy from food.
Biology
Q. What is DNA? (Class 12)
A. DNA is the genetic material that carries hereditary information.
Biology
Q. Define photosynthesis. (Class 12)
A. Photosynthesis is the process by which plants make food.
Biology
Q. What is respiration? (Class 12)
A. Respiration is the process of releasing energy from food.
Biology
Q. What is DNA? (Class 12)
A. DNA is the genetic material that carries hereditary information.
Biology
Q. Define photosynthesis. (Class 12)
A. Photosynthesis is the process by which plants make food.
Biology
Q. What is respiration? (Class 12)
A. Respiration is the process of releasing energy from food.
Biology
Q. What is DNA? (Class 12)
A. DNA is the genetic material that carries hereditary information.
Biology
Q. Define photosynthesis. (Class 12)
A. Photosynthesis is the process by which plants make food.
Biology
Q. What is respiration? (Class 12)
A. Respiration is the process of releasing energy from food.
Biology
Q. What is DNA? (Class 12)
A. DNA is the genetic material that carries hereditary information.
Biology
Q. Define photosynthesis. (Class 12)
A. Photosynthesis is the process by which plants make food.
Biology
Q. What is respiration? (Class 12)
A. Respiration is the process of releasing energy from food.
Biology
Q. What is DNA? (Class 12)
A. DNA is the genetic material that carries hereditary information.
Biology
Q. Define photosynthesis. (Class 12)
A. Photosynthesis is the process by which plants make food.
Biology
Q. What is respiration? (Class 12)
A. Respiration is the process of releasing energy from food.
Biology
Q. What is DNA? (Class 12)
A. DNA is the genetic material that carries hereditary information.
Biology
Q. Define photosynthesis. (Class 12)
A. Photosynthesis is the process by which plants make food.
Biology
Q. What is respiration? (Class 12)
A. Respiration is the process of releasing energy from food.
Biology
Q. What is DNA? (Class 12)
A. DNA is the genetic material that carries hereditary information.
Biology
Q. Define photosynthesis. (Class 12)
A. Photosynthesis is the process by which plants make food.
Biology
Q. What is respiration? (Class 12)
A. Respiration is the process of releasing energy from food.
Biology
Q. What is DNA? (Class 12)
A. DNA is the genetic material that carries hereditary information.
Biology
Q. Define photosynthesis. (Class 12)
A. Photosynthesis is the process by which plants make food.
Biology
Q. What is respiration? (Class 12)
A. Respiration is the process of releasing energy from food.