Practice questions
88551 published questions with worked solutions.
- For > /3, the value of f( ) = ^2 + ^2 always lies in the interval
- The number of real roots of the equation 1 + 3^ x/2 = 2^x, is
- If 3^x + 2^ 2x 5^x, then the solution set for x is
- The number of real solutions of _2 x + |x| = 0, is
- The solution set of the inequation _ 1/3 (x^2 + x + 1) + 1 > 0, is
- The number of real roots of the equation ( 2^x)( 2^x) = 2^x + 2^ -x 2 , isNot in JEE Main syllabus
- The equation e^x = x(x + 1), x < 0 has
- The number of solutions of the equation x + |x| = 0 isNot in JEE Main syllabus
- If 0 < a < 1, then the solution set of the inequation 1 + ( _a x)^2 1 + ( _a x) > 1, is
- If ( _5 x)^2 + ( _5 x) < 2, then x belongs to the interval
- The number of complex roots of the equation x^4 - 4x - 1 = 0, is
- The solution set of the inequation 5^ (1/4)( _5 x)^2 5x^ (1/5)( _5 x) , is
- The product of real roots of the equation x^2 + 18x + 30 = 2 x^2 + 18x + 45 , is
- The number of real solutions of the equation _ 0.5 x = |x|, is
- Let a, b be integers and f(x) be a polynomial with integer coefficients such that f(b) - f(a) = 1. Then, the value of b - a, is
- _ 16 x^3 + ( _2 x )^2 < 1 iff x lies in
- If _3 x - _x 27 < 2, then x belongs to the interval
- The number of solutions of the equation (1 + e^ x^2 ) 1 + x^2 1 + x^4 - x^2 = 1 + x, is
- x^8 - x^5 - 1 x + 1 x^4 > 0, is satisfied for
- The number of integral roots of the equation e^ x-8 + 2x - 17 = 0, is