CBSE – Class 11 Maths Questions
Subject: Maths
Topic: Sets
Q. Set kya hota hai?
A. Well-defined objects ke collection ko set kehte hain.
Subject: Maths
Topic: Relations and Functions
Q. Function kya hota hai?
A. Ek relation jisme har input ka sirf ek output ho.
Subject: Maths
Topic: Permutations and Combinations
Q. nPr ka formula kya hai?
A. n! / (n − r)!
Subject: Math
Topic: Sets
Q. Universal set kya hota hai?
A. Jisme sabhi possible elements hote hain
Subject: Math
Topic: Sets
Q. Empty set kya hota hai?
A. Jisme koi bhi element nahi hota
Subject: Math
Topic: Relations
Q. Equivalence relation ki condition kya hai?
A. Reflexive, symmetric aur transitive
Subject: Math
Topic: Relations
Q. One-one function kya hota hai?
A. Different inputs ke different outputs hote hain
Subject: Math
Topic: Trigonometric Functions
Q. sin²θ + cos²θ ka value kya hota hai?
A. 1
Subject: Math
Topic: Trigonometric Functions
Q. tanθ ka formula kya hai?
A. sinθ / cosθ
Subject: Math
Topic: Complex Numbers
Q. i² ka value kya hota hai?
A. −1
Subject: Math
Topic: Complex Numbers
Q. Complex number ka general form kya hai?
A. a + ib
Subject: Math
Topic: Linear Inequalities
Q. Linear inequality ka graphical solution kya hota hai?
A. Number line par solution
Subject: Math
Topic: Linear Inequalities
Q. Inequality me sign kab reverse hota hai?
A. Negative number se multiply ya divide karne par
Subject: Math
Topic: Permutations and Combinations
Q. nPr ka formula kya hai?
A. n! / (n−r)!
Subject: Math
Topic: Permutations and Combinations
Q. nCr ka formula kya hai?
A. n! / r!(n−r)!
Subject: Math
Topic: Binomial Theorem
Q. (a+b)ⁿ me terms ki sankhya kitni hoti hai?
A. n + 1
Subject: Math
Topic: Binomial Theorem
Q. Middle term ka formula kya hai?
A. (n/2 + 1)th term jab n even ho
Subject: Math
Topic: Sequences and Series
Q. AP ka nth term ka formula kya hai?
A. a + (n − 1)d
Subject: Math
Topic: Sequences and Series
Q. AP ka sum formula kya hai?
A. n/2 [2a + (n − 1)d]
Subject: Math
Topic: Straight Lines
Q. Slope ka formula kya hota hai?
A. (y₂ − y₁) / (x₂ − x₁)
Subject: Math
Topic: Straight Lines
Q. Equation of line in slope-intercept form kya hai?
A. y = mx + c
Subject: Math
Topic: Statistics
Q. Mean ka formula kya hota hai?
A. Σx / n
Subject: Math
Topic: Probability
Q. Probability ka formula kya hota hai?
A. Favourable outcomes / Total outcomes
Subject: Maths
Topic: Sets
Q. Set kya hota hai?
A. Well-defined collection of objects ko set kehte hain
Subject: Maths
Topic: Sets
Q. Empty set kya hota hai?
A. Jisme koi element na ho
Subject: Math
Topic: Sets
Q. Universal set kya hota hai?
A. Jisme sabhi possible elements hote hain
Subject: Math
Topic: Sets
Q. Empty set kya hota hai?
A. Jisme koi bhi element nahi hota
Subject: Math
Topic: Relations
Q. Equivalence relation ki condition kya hai?
A. Reflexive, symmetric aur transitive
Subject: Math
Topic: Relations
Q. One-one function kya hota hai?
A. Different inputs ke different outputs hote hain
Subject: Math
Topic: Trigonometric Functions
Q. sin²θ + cos²θ ka value kya hota hai?
A. 1
Subject: Math
Topic: Trigonometric Functions
Q. tanθ ka formula kya hai?
A. sinθ / cosθ
Subject: Math
Topic: Complex Numbers
Q. i² ka value kya hota hai?
A. −1
Subject: Math
Topic: Complex Numbers
Q. Complex number ka general form kya hai?
A. a + ib
Subject: Math
Topic: Linear Inequalities
Q. Linear inequality ka graphical solution kya hota hai?
A. Number line par solution
Subject: Math
Topic: Linear Inequalities
Q. Inequality me sign kab reverse hota hai?
A. Negative number se multiply ya divide karne par
Subject: Math
Topic: Permutations and Combinations
Q. nPr ka formula kya hai?
A. n! / (n−r)!
Subject: Math
Topic: Permutations and Combinations
Q. nCr ka formula kya hai?
A. n! / r!(n−r)!
Subject: Math
Topic: Binomial Theorem
Q. (a+b)ⁿ me terms ki sankhya kitni hoti hai?
A. n + 1
Subject: Math
Topic: Differential Calculus
Q. Differentiate y = cos x + sin x.
A. dy/dx = -sin x + cos x.
Subject: Math
Topic: Differential Calculus
Q. Find dy/dx if y = x^3 cos x.
A. Using product rule, dy/dx = 3x^2 cos x - x^3 sin x.
Subject: Math
Topic: Differential Calculus
Q. Differentiate y = sec x.
A. dy/dx = sec x tan x.
Subject: Math
Topic: Differential Calculus
Q. Differentiate y = x√x.
A. y = x^(3/2). dy/dx = 3/2 x^(1/2).
Subject: Math
Topic: Differential Calculus
Q. Find dy/dx if y = (3x + 2)^4.
A. Using chain rule, dy/dx = 4(3x + 2)^3 × 3 = 12(3x + 2)^3.
Subject: Math
Topic: Differential Calculus
Q. Differentiate y = log x.
A. dy/dx = 1/x.
Subject: Math
Topic: Differential Calculus
Q. Differentiate y = x + 1/x.
A. dy/dx = 1 - 1/x^2.
Subject: Math
Topic: Differential Calculus
Q. Differentiate y = tan x + sec x.
A. dy/dx = sec^2 x + sec x tan x.
Subject: Math
Topic: Differential Calculus
Q. Find dy/dx if y = x^5.
A. dy/dx = 5x^4.
Subject: Math
Topic: Differential Calculus
Q. Differentiate y = √(x^2 + 1).
A. Using chain rule, dy/dx = x / √(x^2 + 1).
Subject: Math
Topic: Integral Calculus
Q. Evaluate ∫ x^4 dx.
A. ∫ x^4 dx = x^5/5 + C.
Subject: Math
Topic: Integral Calculus
Q. Evaluate ∫ (x^2 + 3x) dx.
A. ∫x^2 dx = x^3/3, ∫3x dx = 3x^2/2. Hence x^3/3 + 3x^2/2 + C.
Subject: Math
Topic: Integral Calculus
Q. Evaluate ∫ sec^2 x dx.
A. ∫ sec^2 x dx = tan x + C.
Subject: Math
Topic: Integral Calculus
Q. Evaluate ∫ 1/(1 + x^2) dx.
A. ∫ 1/(1 + x^2) dx = tan⁻¹x + C.
Subject: Math
Topic: Integral Calculus
Q. Evaluate ∫ 2e^x dx.
A. ∫2e^x dx = 2e^x + C.
Subject: Math
Topic: Integral Calculus
Q. Evaluate ∫ x^-2 dx.
A. ∫ x^-2 dx = -x^-1 + C = -1/x + C.
Subject: Math
Topic: Integral Calculus
Q. Evaluate ∫ (x^3 + 1) dx.
A. ∫x^3 dx = x^4/4, ∫1 dx = x. Hence x^4/4 + x + C.
Subject: Math
Topic: Integral Calculus
Q. Evaluate ∫ sin x cos x dx.
A. Let u = sin x, du = cos x dx. ∫ sin x cos x dx = ∫u du = u^2/2 + C = sin^2 x/2 + C.
Subject: Math
Topic: Integral Calculus
Q. Evaluate ∫ (2x + 1)^5 dx.
A. Let u = 2x + 1, du = 2 dx. ∫(2x + 1)^5 dx = (2x + 1)^6/12 + C.
Subject: Math
Topic: Integral Calculus
Q. Evaluate ∫ dx.
A. ∫ dx = x + C.
Subject: Math
Topic: Differential Calculus
Q. Differentiate y = x^3 + 5x^2 - 7x + 4.
A. Given y = x^3 + 5x^2 - 7x + 4. Differentiating w.r.t x, dy/dx = 3x^2 + 10x - 7.
Subject: Math
Topic: Differential Calculus
Q. Differentiate y = x^4 - 3x^2 + 7.
A. Given y = x^4 - 3x^2 + 7. Differentiating w.r.t x, dy/dx = 4x^3 - 6x.
Subject: Math
Topic: Differential Calculus
Q. Find dy/dx if y = 5x^3 + 2x - 9.
A. Differentiating w.r.t x, dy/dx = 15x^2 + 2.
Subject: Math
Topic: Differential Calculus
Q. Differentiate y = sin x - cos x.
A. dy/dx = cos x + sin x.
Subject: Math
Topic: Differential Calculus
Q. Differentiate y = tan x.
A. dy/dx = sec^2 x.
Subject: Math
Topic: Differential Calculus
Q. Find dy/dx if y = x^2 sin x.
A. Using product rule, dy/dx = 2x sin x + x^2 cos x.
Subject: Math
Topic: Differential Calculus
Q. Differentiate y = e^x + x^3.
A. dy/dx = e^x + 3x^2.
Subject: Math
Topic: Differential Calculus
Q. Differentiate y = ln x.
A. dy/dx = 1/x.
Subject: Math
Topic: Differential Calculus
Q. Find dy/dx if y = (x^2 + 1)^3.
A. Using chain rule, dy/dx = 3(x^2 + 1)^2 × 2x = 6x(x^2 + 1)^2.
Subject: Math
Topic: Differential Calculus
Q. Differentiate y = √x.
A. y = x^(1/2). dy/dx = 1/(2√x).
Subject: Math
Topic: Differential Calculus
Q. Differentiate y = 1/x.
A. y = x^-1. dy/dx = -1/x^2.
Subject: Math
Topic: Integral Calculus
Q. Evaluate ∫ x^3 dx.
A. ∫ x^3 dx = x^4/4 + C.
Subject: Math
Topic: Integral Calculus
Q. Evaluate ∫ (2x + 5) dx.
A. ∫2x dx = x^2, ∫5 dx = 5x. Hence x^2 + 5x + C.
Subject: Math
Topic: Integral Calculus
Q. Evaluate ∫ sin x dx.
A. ∫ sin x dx = -cos x + C.
Subject: Math
Topic: Integral Calculus
Q. Evaluate ∫ cos x dx.
A. ∫ cos x dx = sin x + C.
Subject: Math
Topic: Integral Calculus
Q. Evaluate ∫ e^x dx.
A. ∫ e^x dx = e^x + C.
Subject: Math
Topic: Integral Calculus
Q. Evaluate ∫ 1/x dx.
A. ∫ 1/x dx = ln|x| + C.
Subject: Math
Topic: Integral Calculus
Q. Evaluate ∫ (3x^2 - 4x + 6) dx.
A. ∫3x^2 dx = x^3, ∫-4x dx = -2x^2, ∫6 dx = 6x. Hence x^3 - 2x^2 + 6x + C.
Subject: Math
Topic: Integral Calculus
Q. Evaluate ∫ 2x(x^2 + 1) dx.
A. Let u = x^2 + 1, du = 2x dx. ∫2x(x^2 + 1) dx = ∫u du = u^2/2 + C = (x^2 + 1)^2/2 + C.
Subject: Math
Topic: Integral Calculus
Q. Evaluate ∫ x dx.
A. ∫ x dx = x^2/2 + C.
Subject: Math
Topic: Integral Calculus
Q. Evaluate ∫ √x dx.
A. ∫ x^(1/2) dx = 2/3 x^(3/2) + C.
Subject: Math
Topic: Differential Calculus
Q. Find dy/dx if y = sin x + cos x.
A. Given y = sin x + cos x. Differentiating w.r.t x, dy/dx = cos x - sin x.
Subject: Math
Topic: Differential Calculus
Q. Differentiate y = (3x^2 + 5)^4 using chain rule.
A. Let u = 3x^2 + 5. Then y = u^4. dy/dx = 4u^3 × du/dx = 4(3x^2 + 5)^3 × 6x = 24x(3x^2 + 5)^3.
Subject: Math
Topic: Integral Calculus
Q. Evaluate ∫(3x^2 + 4x - 5) dx.
A. ∫3x^2 dx = x^3, ∫4x dx = 2x^2, ∫-5 dx = -5x. Hence ∫(3x^2 + 4x - 5) dx = x^3 + 2x^2 - 5x + C.
Subject: Math
Topic: Integral Calculus
Q. Evaluate ∫ sin x dx.
A. ∫ sin x dx = -cos x + C.
Subject: Math
Topic: Integral Calculus
Q. Evaluate ∫ 2x(x^2 + 3) dx using substitution.
A. Let u = x^2 + 3, du = 2x dx. Then ∫2x(x^2 + 3) dx = ∫u du = u^2/2 + C = (x^2 + 3)^2/2 + C.
Subject: Math
Topic: Integral Calculus
Q. Evaluate ∫ e^x dx.
A. ∫ e^x dx = e^x + C.
Subject: Math
Topic: Binomial Theorem
Q. Middle term ka formula kya hai?
A. (n/2 + 1)th term jab n even ho
Subject: Math
Topic: Sequences and Series
Q. AP ka nth term ka formula kya hai?
A. a + (n − 1)d
Subject: Math
Topic: Sequences and Series
Q. AP ka sum formula kya hai?
A. n/2 [2a + (n − 1)d]
Subject: Math
Topic: Straight Lines
Q. Slope ka formula kya hota hai?
A. (y₂ − y₁) / (x₂ − x₁)
Subject: Math
Topic: Straight Lines
Q. Equation of line in slope-intercept form kya hai?
A. y = mx + c
Subject: Math
Topic: Statistics
Q. Mean ka formula kya hota hai?
A. Σx / n
Subject: Math
Topic: Probability
Q. Probability ka formula kya hota hai?
A. Favourable outcomes / Total outcomes
Subject: Maths
Topic: Relations and Functions
Q. Relation kya hota hai?
A. Two sets ke beech ka connection relation kehlata hai
Subject: Maths
Topic: Relations and Functions
Q. Function kya hota hai?
A. Har input ka sirf ek output ho
Subject: Maths
Topic: Permutations and Combinations
Q. nPr ka formula kya hai?
A. n! / (n-r)!
Subject: Maths
Topic: Binomial Theorem
Q. (a + b)ⁿ ka expansion kis theorem se hota hai?
A. Binomial Theorem
Subject: Maths
Topic: Sequences and Series
Q. AP ka nth term ka formula kya hai?
A. a + (n − 1)d
Subject: Maths
Topic: Trigonometric Functions
Q. sin²θ + cos²θ ka value kya hota hai?
A. 1
Subject: Math
Topic: Trigonometric Functions
Q. tan θ ka formula kya hai?
A. sin θ / cos θ
Subject: Maths
Topic: Principle of Mathematical Induction
Q. PMI ka use kis liye hota hai?
A. Statements ko natural numbers ke liye prove karne ke liye
Subject: Maths
Topic: Complex Numbers
Q. Imaginary unit i ka value kya hai?
A. √-1
Subject: Maths
Topic: Linear Inequalities
Q. Linear inequality ka example do
A. x + 2 > 5
Subject: Maths
Topic: Permutations and Combinations
Q. nPr ka formula kya hai?
A. n! / (n-r)!
Subject: Maths
Topic: Binomial Theorem
Q. (a + b)ⁿ ka expansion kis theorem se hota hai?
A. Binomial Theorem
Subject: Maths
Topic: Sequences and Series
Q. AP ka nth term ka formula kya hai?
A. a + (n − 1)d
Subject: Maths
Topic: Straight Lines
Q. Slope ka formula kya hai?
A. (y₂ − y₁)/(x₂ − x₁)
Subject: Maths
Topic: Conic Sections
Q. Circle ka standard equation kya hai?
A. x² + y² = r²
Subject: Maths
Topic: Introduction to 3D Geometry
Q. 3D geometry me coordinates kitne hote hain?
A. Teen (x, y, z)
Subject: Maths
Topic: Limits and Derivatives
Q. Limit ka basic concept kya hai?
A. Function ka value kisi point ke paas approach karna
Subject: Maths
Topic: Statistics
Q. Mean ka formula kya hai?
A. Σx / n
Subject: Maths
Topic: Probability
Q. Probability ka formula kya hai?
A. Favourable outcomes / Total outcomes