Mathematics questions
18011 published questions with worked solutions.
- Solution of x^ ( _ 10 x)^2 - 3 _ 10 x + 1 > 1000 for x R, is
- If 3 < |x| < 6, then x belongs to
- If the product of n positive numbers is n^n, then their sum is
- If a_i > 0 for i = 1, 2, , n and a_1 a_2 a_n = 1, then minimum value of (1 + a_1)(1 + a_2) (1 + a_n) is
- The number of solutions of the inequality E = 2^ 1/ ^2 _2 3^ 1/ ^2 _3 n^ 1/ ^2 _n n! where _i (- , 2 ) for i = 2, 3, , n isNot in JEE Main syllabus
- If ab = 4 (a, b R^+), then
- For any x, y R, xy > 0 then the maximum value of 2x y^3 + x 3y^3 + 4y^2 9x^4 is
- If x, y R^+ satisfying x + y = 3, then the maximum value of x^2 y is
- If x, y and z are positive real numbers and x = 12 - yz y + z . The maximum value (xyz) equals
- For x 0, the smallest value of the function f(x) = 4x^2 + 8x + 13 6(1 + x) , is
- If a, b and c are positive and 9a + 3b + c = 90 then the maximum value of ( a + b + c) is (base of the logarithm is 10)
- Given that x, y, z are positive real such that xyz = 32. If the minimum value of x^2 + 4xy + 4y^2 + 2z^2 is equal m then the...
- Let x^2 - 3x + p = 0 has two positive roots 'a' and 'b' then minimum value of ( 4 a + 1 b ) is
- If x, y, z are positive real numbers such that x^2 + y^2 + z^2 = 27, then x^3 + y^3 + z^3 has
- The least perimeter of a cyclic quadrilateral of given area A square units is
- The number of ordered 4-tuples (x, y, z, w) where x, y, z, w [0, 10] which satisfy the inequality 2^ ^2 x 3^ ^2 y 4^ ^2 z 5^ ^2 w...Not in JEE Main syllabus
- If a, b, c are positive real numbers such that a + b + c = 2 then, which one of the following is true?
- If a, b, c are positive real numbers such that a + b + c = p then, which of the following is true?
- If x = _ 2^2 2 + _ 2^3 2^2 + _ 2^4 2^3 + + _ 2^ n+1 2^n, then
- The least value of 5^ x - 1 + 5^ - x - 1 is