Mathematics questions
18011 published questions with worked solutions.
- Let f : [–3, 1] R be given as f(x)= cases (x+6),x^2 , & -3 x 0 x,x^2 , & 0 x 1 cases . If the area bounded by y = f(x) and x-axis...
- Let , and ; , , (2n-1) 2 , n N be the slopes of three line segments OA, OB and OC, respectively, where O is origin. If...
- Consider a set of 3n numbers having variance 4. In this set, the mean of first 2n numbers is 6 and the mean of the remaining n...
- Let the coefficients of third, fourth and fifth terms in the expansion of (x+ a x^2 )^n, x 0 be in the ratio 12 : 8 : 3. Then the...
- Let A= bmatrix a&b &d bmatrix and B= bmatrix bmatrix bmatrix 0 0 bmatrix such that AB = B and a + d = 2021, then value of ad – bc...
- Let x be a vector in the plane containing vectors a =2 i - j + k and b = i +2 j + k . If the vector x is perpendicular to (3 i +2...
- Let P be an arbitrary point having sum of the squares of the distance from the planes x + y + z = 0, – nz = 0 and x – 2y + z = 0,...
- The inverse of y = 5^ x is :
- Let a =2 i -3 j +4 k and b =7 i + j -6 k If r a = r b , r .( i +2 j + k )=-3, then r .(2 i -3 j + k ) is equal to :
- In a triangle PQR, the co-ordinates of the points P and Q are (–2, 4) and (4,–2) respectively. If the equation of the...
- The system of equations kx + y + z = 1, x + ky + z = k and x + y + zk = k^2 has no solution if k is equal to
- If ^ -1 ( )= ^ -1 2+ ^ -1 8+ ^ -1 18+ ^ -1 32+ upto 100 terms, then is :
- A plane passes through the point (0, 0, 0) and perpendicular to the vector i +2 j +3 k ... The equation of the plane containing...
- If |A^2- 1 2 |=( ^2 - 1 2 )^2 where A= bmatrix & - & bmatrix
- If the Boolean expression (p q) (q^*( P)) is a tautology, then the Boolean expression p*( ) is equivalent to :Not in JEE syllabus
- Two dice are rolled. If both dices have six faces numbered 1, 2, 3, 5, 7 and 11, then the probability that the sum of the numbers...
- If the fourth term in the expansion of (x+x^ _2x )^7 is 4480, then the value of x where x N is equal to
- The sum of possible values of x for ^ -1 (x+1)+ ^ -1 ( 1 x-1 )= ^ -1 8 31 is :
- The area of the triangle with vertices A(z), B(iz) and C(z + iz) is :
- The line 2x – y + 1 = 0 is a tangent to the circle at the point (2, 5) and the centre of the circle lies on x – 2y = 4. Then the...