Mathematics questions
18011 published questions with worked solutions.
- If the maximum value of a, for which the function f_a(x) = ^ -1 2x - 3ax + 7 is non-decreasing in (- /6, /6), is ā, then f _ā(...
- Let = _ x 0 ( x − (e^ 3x − 1))/( x(e^ 3x - 1)) for some R. Then the value of + is
- The value of log_e 2 · d/dx (log_ cos x cosec x) at x = /4 is
- _ 0 ^ 20 (| x| + |cos x|)^ 2 dx is equal to
- Let the solution curve y = f(x) of the differential equation dy/dx + xy/(x^ 2 - 1) = (x^ 4 + 2x)/ 1 - x^ 2 , x (−1, 1) pass...
- The acute angle between the pair of tangents drawn to the ellipse 2x^ 2 + 3y^ 2 = 5 from the point (1, 3) is
- The equation of a common tangent to the parabolas y = x^ 2 and y = −(x − 2)^ 2 is
- Let the abscissae of the two points P and Q on a circle be the roots of x^ 2 - 4x - 6 = 0 and the ordinates of P and Q be the...
- If the line x − 1 = 0 is a directrix of the hyperbola kx^ 2 - y^ 2 = 6, then the hyperbola passes through the point
- A vector a is parallel to the line of intersection of the plane determined by the vectors i , i + j and the plane determined by...
- If 0 < x < 1/ 2 and ^ -1 x/ = ^ -1 x/ , then a value of (2 /( + )) is
- Negation of the Boolean expression p (q p) isNot in JEE syllabus
- Let X be a binomially distributed random variable with mean 4 and variance 4/3. Then, 54 P(X 2) is equal to
- The integral (1 - 1/ 3 )( x − sin x)/(1 + (2/ 3 ) sin 2x) dx is equal to
- The area bounded by the curves y = |x^ 2 − 1| and y = 1 is
- Let A = 1, 2, 3, 4, 5, 6, 7 and B = 3, 6, 7, 9 . Then the number of elements in the set C ⊆ A : C B is _____ .
- The largest value of a, for which the perpendicular distance of the plane containing the lines r = ( i + j ) + ( i + a j - k )...
- Numbers are to be formed between 1000 and 3000, which are divisible by 4, using the digits 1, 2, 3, 4, 5 and 6 without repetition...
- If _ k=1 ^ 10 k/(k^ 4 + k^ 2 + 1) = m/n, where m and n are co-prime, then m + n is equal to _____
- If the sum of solutions of the system of equations 2 ^ 2 − cos 2 = 0 and 2 ^ 2 + 3 sin = 0 in the interval [0, 2 ] is k , then k...Not in JEE Main syllabus