Mathematics questions
18011 published questions with worked solutions.
- 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
- The minimum value of P = bcx + cay + abz, when xyz = abc, is
- Solution of the inequality (x + 3 ) 1 isNot in JEE Main syllabus
- If 5^x + (2 3 )^ 2x 13^x, then the solution set for x is
- Solution of the inequality ^4 ( x 3 ) + ^4 ( x 3 ) > 1 2 , is given byNot in JEE Main syllabus
- If a < b, then the solution x^2 + (a + b)x + ab < 0 is given by
- If _ x x > 2 and 0 < x < 3 , then x lies in the interval
- The solution of the inequation 4^ -x+0.5 - 7 2^ -x < 4, x R is
- Let f(x) = ax^2 + bx + c and f(-1) < 1, f(1) > -1, f(3) < -4 and a 0, then
- If for x R, 1 3 < x^2 - 2x + 4 x^2 + 2x + 4 < 3, then 9 3^ 2x - 6 3^x + 4 9 3^ 2x + 6 3^x + 4 lies between
- _2(x^2 - 3x + 18) < 4, then x belongs to
- If a + b = 8, then ab is greater when