Mathematics questions
18011 published questions with worked solutions.
- Let A (sec , 2tan ) and B (sec , 2tan ), where + = /2, be two points on the hyperbola 2x^2-y^2=2. If ( , ) is the point of the...
- 3 7^ 22 +2 10^ 22 -44 when divided by 18 leaves the remainder ———
- An online exam is attempted by 50 candidates out of which 20 are boys. The average marks obtained by boys is 12 with a variance...
- If 2e^x+3e^ -x 4e^x+7e^ -x dx= 1 14 (ux+v _e(4e^x+7e^ -x ))+C, Where C is a constant of integration, then u + v is equal to ———.
- Let *, , be such that the Boolean expression (p * ~q) (p q) is a tautology. Then :Not in JEE syllabus
- The number of real roots of the equation e^ 4x +2e^ 3x -e^x-6=0 is :
- The sum of 10 terms of the series 3 1^2 2^2 + 5 2^2 3^2 + 7 3^2 4^2 + is :
- Let the equation of the plane, that passes through the point (1, 4, –3) and contains the line of intersection of the planes 3x...
- Let f be a non-negative function in [0, 1] and twice differentiable in (0, 1). If _0^x 1-(f'(t))^2 dt= _0^xf(t)dt, 0 1 and f(0) =...
- Let a and b be two vectors such that |2 a +3 b |=|3 a + b | and the angle between a and b is 60°. If 1 8 a is a unit vector, then...
- The function f(x)=|x^2-2x-3|.e^ |9x^2-12x+4| is not differentiable at exactly :
- Three numbers are in an increasing geometric progression with common ratio r. If the middle number is doubled, then the new...
- Which of the following is not correct for relation R on the set of real numbers ?
- The integral 1 [4] (x-1)^3(x+2)^5 dx is equal to : (where C is constant of integration)
- cosec18° is a root of the equation :
- If the following system of linear equations 2x + y + z = 5, x – y + z = 3, x + y + az = b has no solution, then :
- If the function f(x)= cases 1 x _e ( 1+ x a 1- x b ), & x<0 , & x=0 ^2x- ^2x-1 x^2+1 -1 , & x>0 cases is continuous at x = 0,...
- If dy dx = 2^ x+y -2^x 2^y , y(0) = 1, then y(1) is equal to :
- _ x 0 ^2( ^4x) x^4 is equal to :
- A vertical pole fixed to the horizontal ground is divided in the ratio 3 : 7 by a mark on it with lower part shorter than the...