Share

# Important Questions for CBSE (Science) Class 12 - CBSE - Mathematics

Subjects
Topics
Subjects
Popular subjects
Topics
Mathematics
< prev 1 to 20 of 506 next >

Find the distance of the point (−1, −5, −10) from the point of intersection of the line vecr=2hati-hatj+2hatk+lambda(3hati+4hatj+2hatk)  and the plane vec r (hati-hatj+hatk)=5

Appears in 7 question papers
Chapter: [4.01] Three - Dimensional Geometry
Concept: Three - Dimensional Geometry Examples and Solutions

Find the value of tan^(-1) sqrt3 - cot^(-1) (-sqrt3)

Appears in 5 question papers
Chapter: [1.01] Inverse Trigonometric Functions
Concept: Inverse Trigonometric Functions > Inverse Trigonometric Functions - Principal Value Branch

If a * b denotes the larger of 'a' and 'b' and if a∘b = (a * b) + 3, then write the value of (5)∘(10), where * and ∘ are binary operations.

Appears in 5 question papers
Chapter: [1.02] Relations and Functions
Concept: Concept of Binary Operations

If A = [(2,-3,5),(3,2,-4),(1,1,-2)] find A−1. Using A−1 solve the system of equations

2x – 3y + 5z = 11
3x + 2y – 4z = – 5
x + y – 2z = – 3

Appears in 5 question papers
Chapter: [2.01] Determinants
Concept: Applications of Determinants and Matrices

If A is a square matrix such that A2 = I, then find the simplified value of (A – I)3 + (A + I)3 – 7A.

Appears in 5 question papers
Chapter: [2.02] Matrices
Concept: Types of Matrices

if the matrix A =[(0,a,-3),(2,0,-1),(b,1,0)] is skew symmetric, Find the value of 'a' and 'b'

Appears in 5 question papers
Chapter: [2.02] Matrices
Concept: Types of Matrices

Find the area of the region in the first quadrant enclosed by the x-axis, the line y = x and the circle x2 + y2 = 32.

Appears in 5 question papers
Chapter: [3.03] Applications of the Integrals
Concept: Area Under Simple Curves

Find the differential equation representing the family of curves y = ae^(bx + 5). where a and b are arbitrary constants.

Appears in 5 question papers
Chapter: [3.04] Differential Equations
Concept: Formation of a Differential Equation Whose General Solution is Given

Find the magnitude of each of two vectors veca and vecb having the same magnitude such that the angle between them is 60° and their scalar product is 9/2

Appears in 5 question papers
Chapter: [4.02] Vectors
Concept: Product of Two Vectors > Scalar (Or Dot) Product of Two Vectors

If θ is the angle between two vectors hati - 2hatj + 3hatk and 3hati - 2hatj + hatk find sin theta

Appears in 5 question papers
Chapter: [4.02] Vectors
Concept: Product of Two Vectors > Vector (Or Cross) Product of Two Vectors

A black and a red dice are rolled.  Find the conditional probability of obtaining the sum 8, given that the red die resulted in a number less than 4.

Appears in 5 question papers
Chapter: [6.01] Probability
Concept: Conditional Probability

Prove that 3sin^(-1)x = sin^(-1) (3x - 4x^3), x in [-1/2, 1/2]

Appears in 4 question papers
Chapter: [1.01] Inverse Trigonometric Functions
Concept: Properties of Inverse Trigonometric Functions

Let A = {x ∈ Z : 0 ≤ x ≤ 12}. Show that R = {(ab) : a∈ A, |a – b| is divisible by 4}is an equivalence relation. Find the set of all elements related to 1. Also write the equivalence class 

Appears in 4 question papers
Chapter: [1.02] Relations and Functions
Concept: Types of Relations

Show that the function f: ℝ → ℝ defined by f(x) = x/(x^2 + 1), ∀x in Ris neither one-one nor onto. Also, if g: ℝ → ℝ is defined as g(x) = 2x - 1. Find fog(x)

Appears in 4 question papers
Chapter: [1.02] Relations and Functions
Concept: Types of Functions

Using properties of determinants, prove that |(1,1,1+3x),(1+3y, 1,1),(1,1+3z,1)| = 9(3xyz + xy +  yz+ zx)

Appears in 4 question papers
Chapter: [2.01] Determinants
Concept: Properties of Determinants

Using elementary row transformations, find the inverse of the matrix A = [(1,2,3),(2,5,7),(-2,-4,-5)]

Appears in 4 question papers
Chapter: [2.02] Matrices
Concept: Elementary Operation (Transformation) of a Matrix

If x = a cos θ + b sin θ, y = a sin θ − b cos θ, show that y^2 (d^2y)/(dx^2)-xdy/dx+y=0

Appears in 4 question papers
Chapter: [3.01] Continuity and Differentiability
Concept: Second Order Derivative

Differentiate tan^(-1) ((1+cosx)/(sin x)) with respect to x

Appears in 4 question papers
Chapter: [3.01] Continuity and Differentiability
Concept: Derivatives of Inverse Trigonometric Functions

if (x^2 + y^2)^2 = xy find (dy)/(dx)

Appears in 4 question papers
Chapter: [3.01] Continuity and Differentiability
Concept: Derivatives of Implicit Functions

If y = xx, prove that (d^2y)/(dx^2)−1/y(dy/dx)^2−y/x=0.

Appears in 4 question papers
Chapter: [3.02] Applications of Derivatives
Concept: Simple Problems on Applications of Derivatives
< prev 1 to 20 of 506 next >
Important Questions for CBSE (Science) Class 12 CBSE Mathematics. You can further filter Important Questions by subjects and topics. Chapter wise important Questions for Class 12 CBSE. it gets easy to find all Class 12 important questions with answers in a single place for students. Saving time and can then focus on their studies and practice. Important questions for Class 12 chapter wise with solutions
S