Practice questions
88551 published questions with worked solutions.
- 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
- The range of ab if |a| 1 and a + b = 1, (a, b R), is
- If roots of the equation x^4 - 8x^3 + bx^2 + cx + 16 = 0 are positive then
- If x^2 + 1 x^2 = A and x - 1 x = B, where x R and B > 0, then the minimum value of A B is
- If 0 < < , then the minimum value of ^5 + cosec ^5 is
- If x_1, x_2, , x_n are real numbers, then the largest value of the expression x_1 x_2 + x_2 x_3 + + x_n x_1 isNot in JEE Main syllabus
- If a > 1, b > 1, c > 1, d > 1, then the minimum value of _b a + _a b + _d c + _c d is
- If a_1, a_2, a_3 be any positive real numbers, then which of the following statements is not true
- The minimum value of | x + x + x + x + cosec x + x| is
- The minimum value of 4^x + 4^ 1-x , x R, is