Mathematics questions
18011 published questions with worked solutions.
- 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
- 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