Practice questions
88551 published questions with worked solutions.
- 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
- Solution of x^ ( _ 10 x)^2 - 3 _ 10 x + 1 > 1000 for x R, is
- If 3 < |x| < 6, then x belongs to
- If the product of n positive numbers is n^n, then their sum is
- If a_i > 0 for i = 1, 2, , n and a_1 a_2 a_n = 1, then minimum value of (1 + a_1)(1 + a_2) (1 + a_n) is
- The number of solutions of the inequality E = 2^ 1/ ^2 _2 3^ 1/ ^2 _3 n^ 1/ ^2 _n n! where _i (- , 2 ) for i = 2, 3, , n isNot in JEE Main syllabus
- If ab = 4 (a, b R^+), then
- For any x, y R, xy > 0 then the maximum value of 2x y^3 + x 3y^3 + 4y^2 9x^4 is
- If x, y R^+ satisfying x + y = 3, then the maximum value of x^2 y is
- If x, y and z are positive real numbers and x = 12 - yz y + z . The maximum value (xyz) equals