Practice questions
88551 published questions with worked solutions.
- (x - 1)(x^2 - 5x + 7) < (x - 1), then x belongs to
- |x + 2 x | < 3, then x belongs to
- For positive real numbers a, b, c which one of the following holds?
- The solution of the inequation 2x^2 + 3x - 9 0 is given by
- If x^2 + 6x - 27 > 0 and x^2 - 3x - 4 < 0, then
- x^2 - 3|x| + 2 < 0, then x belongs to
- Let a_1, a_2, , a_n be non-negative real numbers such that a_1 + a_2 + + a_n = p and q = _ i<j a_i a_j. Then
- Solution of 2^x + 2^ |x| 2 2 is
- The solution set of the inequality _ ( /3) (x^2 - 3x + 2) 2 is
- If 0 < x < 2 , then minimum value of ^3 x x + ^3 x x is
- The solution of the inequation _ 1/3 (x^2 + x + 1) + 1 < 0 is
- Let y = (x+1)(x-3) (x-2) , then all real values of x for which y takes real values, are
- If a, b, c are different positive real numbers such that (b + c - a), (c + a - b) and (a + b - c) are positive, then (a + b -...
- Consider the following statements: 1. If x be real, then - 9 2 3x-4 x^2+1 1 2 2. If x is real, then the greatest value of...
- Consider the following statements: 1. x 1+x^2 < ^ -1 x < x; x > 0 2. If 0 x < 2 , x + x - 3x 0 Which of these is/are correct?
- |2x - 3| < |x + 5|, then x belongs to
- If _ 3 ( x + 2 2 x) 2, -2 x 2 , then the number of solutions of x is
- If ^x + ^x 1, 0 < < 2 , thenNot in JEE Main syllabus
- Solution of 2x - 1 = |x + 7| is
- The solution set of ||x| - 1| < |1 - x|, x R is