Fountain of Mathematics

Find the principal value of cos⁻¹(√3/2)|CBSE|NCERT|Inverse Trigonometric Functions|12|2022-23|VSAQ

integral∫-π/2 to π/2 cosx/ 1+e^x dx is equal to? jee test series Application of Definite Integration

If y= tan⁻¹(√1+x²-√1-x²/√1+x²+√1-x²), then dy/dx =? JEE Mains test series Differentiation

If 1/6!+1/7!=x/8!, find x|n!|Factorial|Permutations and Combinations|NCERT|CBSE|CET|JEE|Quantitative

If cot^-1(√cos - tan^-1√cosx = x then sinx is equal to? JEE Mains test series Inverse Trigonometry

New Pattern 2021-22 CBSE Mathematics SAMPLE QUESTION PAPER (SQP) MCQ explanation SECTION A Q1 to 20

If |z-4/z|=2, then the maximum value of |z| is ? jee test series complex numbers

Find the second order derivative of the function x³ log x Ncert continuity and Differentiation

Find the transpose of each of the following matrices [5 1/2 -1];[1 -1 2 3][-1 5 6..|CBSE|NCERT|12

Find area of the triangle with vertices at the point;|NCERT|Ex 4.2|2023-24|CBSE|12latest|Determinant

show that points A(a,b+c),B(b,c+a),C(c,c+a) are collinear;|NCERT|Ex 4.2|2023-24|CBSE|12|Determinant

If A=[10 1 0 1 2 0 0 4] then show that |3A|=27|A|; determinants;|NCERT|Ex 4.1|2023-24|CBSE|12|latest

Evaluate the determinant |3 -4 5 1 1 -2 2 3 1|;|NCERT|Ex 4.1|2023-24|CBSE|12|latest syllabus

Find the value of k if area of triangle is 4 (k,0)(4,0);|NCERT|Ex 4.2|2023-24|CBSE|12|Determinant

Integral Calculus MCQ type questions| CBSE 12 Maths|Sahodaya|Chennai|Bangalore|2022-23|solutions

If i) A=[cos a sin a - sin a cos a], then verify that A'A=I ii) If A=[sin a cos |CBSE|NCERT|Matrices

If A=[1 2 4 2] then show that |2A|=4|A|; determinants; |NCERT|Ex 4.1|2023-24|CBSE|12|latest syllabus

If A'=[-2 3 1 2] &B=[-1 0 1 2] then find (A+2B)'|CBSE|NCERT|Matrices|12|SAQ|practice|solutions

If area of triangle is 35 units vertices (2,-6)(5,4)find k;|NCERT|Ex 4.2|2023-24|CBSE|12|Determinant

3D Geometry MCQ type questions| CBSE 12 Maths|Sahodaya|Chennai|Bangalore|2022-23|solutions

If A=[0 - tan alpha/2 tan alpha /2 0] and I is the Identity matrix of order 2|CBSE|NCERT|12|Matrices

For the matrices A and B, Verify that (AB)'=B'A', where A=[1 -4 3], B=[-1 2 1]..|CBSE|NCERT|Matrices

Show that the matrix A = [1 -1 5 -1 2 3 5 1 3] is a symmetric matrix and skew |CBSE|NCERT|Matrices

Find equation of line joining (3,1) and (9,3) using determinants;|NCERT|Ex 4.2|2023-24|CBSE|12

Evaluate Integral Sin 5x Cos 4x dx|CBSE|12|NCERT|Integrations|Trigonometry|Common Doubts|Solutions

Find the principal value of cos⁻¹(√3/2)|CBSE|NCERT|Inverse Trigonometric Functions|12|2022-23|VSAQ

If A=[-1 2 3 5 7 9 -2 1 1] &B=[-4 1 -5 1 2 0 1 verify (A+B)'=A'+B' &(A-B)'=A'-B'|CBSE|NCERT|Matrices

Differentiate w.r.t.x cos x / log x, Ncert class 12 exercise Differentiation chain rule

Find the second order derivative of the function log (log x) Ncert continuity and Differentiation

Find the intervals in which the function is strictly increasing or decreasing -2x³-9x²-12x+1

Differentiate the function (log x ) ^cos x w.r.t. x Ncert continuity and differentiability

Differentiate the function w.r.t.x sec(tan√x|NCERT|12|Part 1|Continuity and Differentiability|Ex 5.2

Let the function f(x)= x^2+x + sinx-cosx+log(1+|x|) be defined on [0,1]. The odd extension of f(x)

If f(x)=[ cos x - sin x 0 sin x cos x 0 0 0 1] show that f(x).f(y)=f(x+y)|CBSE|NCERT|12|Matrices

Assume X, Y, Z, W and P are matrices of order 2 × n, 3 × k, 2 × p, n × 3 & p × k|CBSE|NCERT|Matrices

Express the following matrices as the sum of symmetric & Skew Symmetric matrix|CBSE|NCERT|[6 -2 2 -2

Find the intervals in which the function is strictly increasing or decreasing 10-6x-2x²

If A and B are square matrices of same order and B is a skew Symmetric matrix then A’BA is

Find an anti-derivative (or Integral) of (ax+b)^2 by the method of inspection|CBSE|NCERT|Term 2|Sol

Find the value of lambda if sinx/sin(x/8)=lambda cosx/8cosx/4cosx/2|Trigonometry|JEE|CET|NCERT|CBSE

Evaluate the indefinite integral 1/ x^3(1+x^4)1/2 dx CBSE 12 Maths SQP 2025 MCQ|NCERT|Latest

Find the second order derivative of the function sin (log x) Ncert continuity and Differentiation

Solve system of linear equations using matrix method 5x+2y=3 ;3x+2y=5|Determinants|Matrices|NCERT|23

Find equation of line joining (1,2) and (3,6) using determinants;|NCERT|Ex 4.2|2023-24|CBSE|12

Find the second order derivative of the function (log x)/x|Ncert|Continuity and Differentiation|12

Write the coordinates of the foci of the hyperbola 9x²-16y²=144|VSAQ|11|RD Sharma|Term|2021|Conics

Cos(pi/4-x)cos(pi/4-y)

The function f(x) = log(1+x/1- x) satisfies the equation f(x1)+f(x2)=f(x1+x2/ 1-x1x2)

If functions f and g given by f(x)=log(x-1) - log(x-2) and g(x) = log(x-1/x-2) are equal then x lies

Limit x to infinity sinx/x MCQ Limits 11 RD Sharma

∫0 to π/2 sin²x / sinx+cosx dx is equal to? jee test series Application of Definite Integration