Mathematics questions
18011 published questions with worked solutions.
- When a missile is fired from a ship, the probability that it is intercepted is 1 3 and the probability that the missile hits the...
- The equation of the line through the point (0,1,2) and perpendicular to the line x-1 2 = y+1 3 = z-1 -2 is :
- Let be the angle between the lines whose direction cosines satisfy the equations l+m-n=0 and l^2+m^2-n^2=0. Then the value of ^4...
- The value of the integral 2 ( ^6 + ^4 + ^2 ) 2 ^4 +3 ^2 +6 1- 2 d is : (where c is a constant of integration)
- The value of _ -1 ^1x^2e^ [x^3] dx, where [t] denotes the greatest integer t, is :
- A man is observing, from the top of a tower, a boat speeding towards the tower from a certain point A, with uniform speed. At...Not in JEE syllabus
- A tangent is drawn to the parabola y^2=6x which is perpendicular to the line 2x + y = 1. Which of the following points does NOT...
- All possible values of [0,2 ] for which 2 + 2 >0 lie in :Not in JEE Main syllabus
- Let the lines (2-i)z=(2+i) z and (2+i)z+(i-2) z-4i=0, (here i^2=–1) be normal to a circle C. If the line iz + z+1+i = 0 is...
- The image of the point (3, 5) in the line x – y + 1 = 0, lies on :
- If the curves, x^2 a + y^2 b =1 and x^2 c + y^2 d =1 intersect each other at an angle of 90°, then which of the following...
- _ n (1+ 1+ 1 2 + + 1 n n^2 ) is equal to :
- The coefficients a, b and c of the quadratic equation, ax^2+bx+c=0 are obtained by throwing a dice three times. The probability...
- The total number of positive integral solutions (x, y, z) such that xyz = 24 is :
- The integer 'k', for which the inequality x^2-2(3k-1)x+8k^2-7>0 is valid for every x in R, is :
- If a curve passes through the origin and the slope of the tangent to it at any point (x, y) is x^2-4x+y+8 x-2 , then this curve...
- The statement A (B ) is equivalent to :Not in JEE syllabus
- If Rolle's theorem holds for the function f(x)=x^3-ax^2+bx-4, x [1, 2] with f' ( 4 3 )=0, then ordered pair (a, b) is equal to :
- The number of points, at which the function f(x)=|2x+1|-3|x+2|+|x^2+x-2|, x R is not differentiable, is ________.
- The graphs of sine and cosine functions, intersect each other at a number of points and between two consecutive points of...