JEE Main questions
34495 published questions with worked solutions.
- If x^2 + 2ax + 10 - 3a > 0 for all x R, then
- The solution set contained in R of the inequation 3^x + 3^ 1-x - 4 < 0, is
- The minimum value of f(x) = |3 - x| + 7 is
- If (x^3 + y^3) - _ 10 (x^2 + y^2 - xy) 2, then the maximum value of xy, for all x 0, y 0 is
- If x^2 + 4ax + 2 > 0 for all values of x, then a lies in the interval
- The set of all x satisfying the inequality 4x-1 3x+1 1 is
- The solution set of the inequation x+11 x-3 > 0 is
- Number of integer solutions of x+2 x^2+1 > 1 2 is
- If a, b, c > 0, the minimum value of a b+c + b c+a + c a+b is
- For |x-1| x+2 < 1, x lies in the interval
- If x^2 + 2x + n > 10 for all real numbers x, then which of the following conditions is true?
- If a, b, c > 0 and if abc = 1, then the value of a + b + c + ab + bc + ca lies in the interval
- Let x = [ a+2b a+b ] and y = a b , where a and b are positive integers. If y^2 > 2, then
- The set of values of x for which the inequalities x^2 - 3x - 10 < 0, 10x - x^2 - 16 > 0 hold simultaneously, is
- (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