Mathematics questions
18011 published questions with worked solutions.
- The angle of elevation of the top of a hill from a point on the horizontal plane passing through the foot of the hill is found to...Not in JEE syllabus
- Let AD and BC be two vertical poles at A and B respectively on a horizontal ground. If AD = 8 m, BC = 11 m and AB = 10m; then the...
- Let f : R → R be defined as f(x)= cases x^5 ( 1 x )+5x^2, & x<0 0, & x=0 ^5 ( 1 x )+ x^2, & x>0 cases . The value of for which f...
- If a and b are unit vectors, then the greatest value of 3 | a + b |+| a - b | is ________.
- The set of all real values of for which the function f(x)=(1- ^2x).( + x), x (- 2 , 2 ), has exactly one maxima and exactly one...
- For all twice differentiable functions f : R → R, with f(0) = f(1) = f'(0) = 0
- If the tangent to the curve, y = f(x) = x _ex, (x > 0) at a point (c, f(c)) is parallel to the line - segment joining the points...
- Consider the statement : "For an integer n, if n^3-1 is even, then n is odd." The contrapositive statement of this statement is :Not in JEE syllabus
- A plane P meets the coordinate axes at A, B and C respectively. The centroid of ABC is given to be (1, 1, 2). Then the equation...
- If and are the roots of the equation 2x(2x+1)=1, then is equal to :
- Let z = x + iy be a non-zero complex number such that z^2=i|z|^2, where i= -1 , then z lies on the :
- The common difference of the A.P. b_1, b_2, ..., b_m is 2 more than the common difference of A.P. a_1, a_2, ..., a_n. If a_ 40 =...
- The angle of elevation of the summit of a mountain from a point on the ground is 45°. After climbing up one km towards the summit...Not in JEE syllabus
- Let = 5 and A= pmatrix & - & pmatrix . If B=A+A^4, then det(B) :
- Let f : R → R be a function defined by f(x) = max x, x^2 . Let S denote the set of all points in R, where f is not...
- The area (in sq. units) of the region enclosed by the curves y=x^2-1 and y=1-x^2 is equal to :
- The probabilities of three events A, B and C are given by P(A) = 0.6, P(B) = 0.4 and P(C) = 0.5. If P(A ∪ B) = 0.8, P(A ∩ C) =...
- if the constant term in the binomial expansion of ( x - k x^2 )^ 10 is 405, then |k| equals :
- Let L denote the line in the xy-plane with x and y intercepts as 3 and 1 respectively. Then the image of the point (–1, –4) in...
- If y= ( 2x -1 ) cosec x is the solution of the differential equation, dy dx +p(x)y= 2 cosec x, 0 < x < 2 , then the function p(x)...