Mathematics questions
18011 published questions with worked solutions.
- The magnitude of the projection of the vector 2 i + 3 j + k on the vector perpendicular to the plane containing the vectors i + j...
- The mean and variance of seven observations are 8 and 16, respectively. If 5 of the observations are 2, 4, 10, 12, 14, then the...
- The area (in sq. units) of the region A = (x, y) R R 0 x 3, 0 y 4, y x^2 + 3x is:
- If = ^ -1 ( 3 5 ), = ^ -1 ( 1 3 ), where 0 < , < 2 , then α − β is equal to:
- If S_1 and S_2 are respectively the sets of local minimum and local maximum points of the function, f(x) = 9x^4 + 12x^3 - 36x^2 +...
- Let A = pmatrix & - & pmatrix , (α ∈ R) such that A^ 32 = pmatrix 0 & -1 1 & 0 pmatrix . Then a value of α is:
- If α and β be the roots of the equation x^2 - 2x + 2 = 0, then the least value of n for which ( )^n = 1 is:
- The contrapositive of the statement "If you are born in India, then you are a citizen of India", is:Not in JEE syllabus
- If three distinct numbers a, b, c are in G.P. and the equations ax^2 + 2bx + c = 0 and dx^2 + 2ex + f = 0 have a common root,...
- A student scores the following marks in five tests: 45, 54, 41, 57, 43. His score is not known for the sixth test. If the mean...
- If a point R(4, y, z) lies on the line segment joining the points P(2, −3, 4) and Q(8, 0, 10), then the distance of R from the...
- Which one of the following statements is not a tautology?Not in JEE syllabus
- Given that the slope of the tangent to a curve y = y(x) at any point (x, y) is 2y x^2 . If the curve passes through the centre of...
- Let f: [-1, 3] R be defined as f(x) = cases |x| + [x], & -1 x < 1 x + |x|, & 1 x < 2 x + [x], & 2 x 3 cases where [t] denotes the...
- The vector equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5 which is...
- The sum _ k=1 ^ 20 k , 1 2^k is equal to:
- The height of a right circular cylinder of maximum volume inscribed in a sphere of radius 3 is:
- If the fourth term in the binomial expansion of ( x^ 1 1+ _ 10 x + x^ 1 12 )^6 is equal to 200, and x > 1, then the value of x is:
- In an ellipse, with centre at the origin, if the difference of the lengths of major axis and minor axis is 10 and one of the foci...
- Let a = 3 i + 2 j + x k and b = i - j + k, for some real x. Then | a b| = r is possible if: