Mathematics questions
18011 published questions with worked solutions.
- If and are the roots of the equation, 7x^2-3x-2=0, then the value of 1- ^2 + 1- ^2 is equal to :
- If the sum of the first 20 terms of the series (7^ 1/2 )x+ (7^ 1/3 )x+ (7^ 1/4 )x+ is 460, then x is equal to :
- _ x 0 x(e^ ( 1+x^2+x^4 -1)/x -1) 1+x^2+x^4 -1
- If the sum of the second, third and fourth terms of a positive term G.P. is 3 and the sum of its sixth, seventh and eighth terms...
- The derivative of ^ -1 ( 1+x^2 -1 x ) with respect to ^ -1 ( 2x 1-x^2 1-2x^2 ) at x = 1 2 is :
- The area (in sq. units) of the region A = (x, y) ; (x – 1) [x] ≤ y ≤ 2 x , 0 ≤ x ≤ 2 , where [t] denotes the greatest integer...
- If the length of the chord of the circle, x^2+y^2=r^2 (r > 0) along the line, y – 2x = 3 is r, then r^2 is equal to :
- If x = 1 is a critical point of the function f(x)=(3x^2+ax-2-a)e^x, then :
- If the mean and the standard deviation of the data 3, 5, 7, a, b are 5 and 2 respectively, then a and b are the roots of the...
- If ,d 5+7 -2 ^2 =A _e|B( )|+C, where C is a constant of integration, then A can be :
- If the line y = mx + c is a common tangent to the hyperbola x^2 100 - y^2 64 =1 and the circle x^2+y^2=36, then which one of the...
- There are 3 sections in a question paper and each section contains 5 questions. A candidate has to answer a total of 5 questions,...
- If for some R, the lines L_1: x+1 2 = y-2 -1 = z-1 1 and L_2: x+2 = y+1 5- = z+1 1 are coplanar, then the line L_2 passes through...
- Let y = y(x) be the solution of the differential equation x dy dx +2y x= 2x, x (0, 2 ). If y( /3) = 0, then y( /4) is equal to :
- Which of the following points lies on the tangent to the curve x^4e^y+2 y+1 =3 at the point (1, 0) ?
- The statement (p (q p)) (p (p q)) is:Not in JEE syllabus
- If L= ^2 ( 16 )- ^2 ( 8 ) and M= ^2 ( 16 )- ^2 ( 8 ), then :
- In a bombing attack, there is 50% chance that a bomb will hit the target. At least two independent hits are required to destroy...
- Let A = a, b, c and B = 1, 2, 3, 4 . Then the number of elements in the set C = f : A → B | 2 ∈ f(A) and f is not one-one is...
- The coefficient of x^4 in the expansion of (1+x+x^2+x^3)^6 in power of x, is __________ .