Mathematics questions
18011 published questions with worked solutions.
- If _ n ( n^ 2 - n - 1 + n + ) = 0 then 8( + ) is equal to :
- If the absolute maximum value of the function f(x) = (x^ 2 - 2x + 7)e^ (4x^ 3 - 12x^ 2 - 180x + 31) in the interval [−3, 0] is f(...
- The curve y(x) = ax^ 3 + bx^ 2 + cx + 5 touches the x-axis at the point P(−2, 0) and cuts the y-axis at the point Q, where y' is...
- The area of the region given by A = (x, y) : x^ 2 y min x + 2, 4 − 3x is :
- For any real number x, let [x] denote the largest integer less than or equal to x. Let f be a real valued function defined on the...
- The slope of the tangent to a curve C : y = y(x) at any point (x, y) on it is (2e^ 2x - 6e^ -x + 9)/(2 + 9e^ -2x ). If C passes...
- The general solution of the differential equation (x - y^ 2 )dx + y(5x + y^ 2 )dy = 0 is :
- A line, with the slope greater than one, passes through the point A(4, 3) and intersects the line x − y − 2 = 0 at the point B....
- Let the locus of the centre ( , ), > 0, of the circle which touches the circle x^ 2 + (y - 1)^ 2 = 1 externally and also touches...
- Let P be the plane containing the straight line (x − 3)/9 = (y + 4)/(−1) = (z − 7)/(−5) and perpendicular of the plane containing...
- Let ABC be a triangle such that B C = a , C A = b , A B = c , | a | = 6 2 , | b | = 2 3 and b c = 12. Consider the statements :...
- If the sum and the product of mean and variance of a binomial distribution are 24 and 128 respectively, then the probability of...
- If the numbers appeared on the two throws of a fair six faced die are and , then the probability that x^ 2 + x + > 0, for all x...
- The number of solutions of |cos x| = sin x, such that -4 x 4 is :Not in JEE Main syllabus
- A tower PQ stands on a horizontal ground with base Q on the ground. The point R divides the tower in two parts such that QR = 15...
- The letters of the word 'MANKIND' are written in all possible orders and arranged in serial order as in an English dictionary....
- If the maximum value of the term independent of t in the expansion of (t^ 2 x^ 1/5 + (1 - x)^ 1/10 /t)^ 15 , x 0, is K, then 8K...
- Let a, b be two non-zero real numbers. If p and r are the roots of the equation x^ 2 - 8ax + 2a = 0 and q and s are the roots of...
- Let a_ 1 = b_ 1 = 1, a_ n = a_ n-1 + 2 and b_ n = a_ n + b_ n-1 for every natural number n 2. Then _ n=1 ^ 15 a_ n b_ n is equal...
- Let f(x) = |4x^ 2 - 8x + 5| if 8x^ 2 - 6x + 1 0, and f(x) = [4x^ 2 - 8x + 5] if 8x^ 2 - 6x + 1 < 0, where [ ] denotes the...