Mathematics questions
18011 published questions with worked solutions.
- Let z_1 and z_2 be two complex numbers satisfying |z_1| = 9 and |z_2 - 3 - 4i| = 4. Then the minimum value of |z_1 - z_2| is:
- If ^nC_4, ^nC_5 and ^nC_6 are in A.P., then n can be:
- If the angle of elevation of a cloud from a point P which is 25 m above a lake be 30° and the angle of depression of reflection...Not in JEE syllabus
- Let f be a differentiable function such that f(1) = 2 and f′(x) = f(x) for all x ∈ R. If h(x) = f(f(x)), then h′(1) is equal to:
- If an angle between the line, x+1 2 = y-2 1 = z-3 -2 and the plane, x − 2y − kz = 3 is ^ -1 ( 2 2 3 ), then a value of k is:
- If a straight line passing through the point P(−3, 4) is such that its intercepted portion between the coordinate axes is...
- Let a, b and c be three unit vectors, out of which vectors b and c are non-parallel. If α and β are the angles which vector a...
- The mean and the variance of five observations are 4 and 5.20, respectively. If three of the observations are 3, 4 and 4; then...
- The tangent to the curve y = x^2 - 5x + 5, parallel to the line 2y = 4x + 1, also passes through the point:
- The set of all values of λ for which the system of linear equations x − 2y − 2z = λx, x + 2y + z = λy, −x − y = λz has a...
- The number of integral values of m for which the quadratic expression, (1 + 2m)x^2 - 2(1 + 3m)x + 4(1 + m), x ∈ R, is always...
- The total number of irrational terms in the binomial expansion of (7^ 1/5 - 3^ 1/10 )^ 60 is:
- The maximum area (in sq. units) of a rectangle having its base on the x-axis and its other two vertices on the parabola, y = 12 -...
- Let S = 1, 2, 3, …, 100 . The number of non-empty subsets A of S such that the product of elements in A is even is:
- If z - z + (α ∈ R) is a purely imaginary number and |z| = 2, then a value of α is:
- Let f and g be continuous functions on [0, a] such that f(x) = f(a − x) and g(x) + g(a − x) = 4, then _0^af(x)g(x)dx is equal to:
- The sum of the distinct real values of μ, for which the vectors, i + j + k, i + j + k, i + j + k are co-planar, is:
- If the vertices of a hyperbola be at (−2, 0) and (2, 0) and one of its foci be at (−3, 0), then which one of the following points...
- If the sum of the deviations of 50 observations from 30 is 50, then the mean of these observations is:
- Let S_k = 1 + 2 + 3 + + k k . If S_1^2 + S_2^2 + + S_ 10 ^2 = 5 12 A, then A is equal to: