Practice questions
88551 published questions with worked solutions.
- Let , be any two positive values of x for which 2 x, | x| and 1-3 ^2x are in GP. The minimum value of | - | is
- The general solution of the equation - =2 isNot in JEE Main syllabus
- If , are different values of x satisfying a x+b x=c, then ( + 2 ) is equal toNot in JEE Main syllabus
- The number of all possible triplets (a_1,a_2,a_3) such that a_1+a_2 2x+a_3 ^2x=0 for all x is
- Statement 1: If x+ x= y+ 1y , x [0, ], then x= 4 , y=1. Statement 2: AM GM.
- The number of solutions of the equation x^3+x^2+4x+2 x=0 in 0 x 2 is
- The number of values of in the interval (- 2 , 2 ) satisfying the equation ( 3)^ ^2 = ^4 +2 ^2 isNot in JEE Main syllabus
- Statement 1: In (0, ), the number of solutions of the equation + 2 + 3 = 2 3 is two. Statement 2: 6 is not defined at =(2n+1) 12...Not in JEE Main syllabus
- If + =1, then the general value of isNot in JEE Main syllabus
- Let a,b [- , ] be such that (a-b)=1 and (a+b)= 1e. The number of pairs (a,b) satisfying the above system of equations isNot in JEE Main syllabus
- If 4 -3 =2 , then one set of values of isNot in JEE Main syllabus
- If ^2 - = 14, then the values of lying in the interval 0 2 areNot in JEE Main syllabus
- If 2 + =1, then the general value of isNot in JEE Main syllabus
- Consider the following statements: 1. If - =2, then = (4n+1) 8 . 2. 2x+ 2x+ x+ x+1=0 has no solution in the first quadrant. Which...Not in JEE Main syllabus
- The equation x x=2 hasNot in JEE Main syllabus
- Statement 1: The equation ( x)= ( x) does not possess real roots. Statement 2: If x>0, then 2n <x<(2n+1) , n I.Not in JEE Main syllabus
- The general solution of e^ -1/ 2 (e^ x +e^ x )=2 isNot in JEE Main syllabus
- The arithmetic mean of the roots of the equation 4 ^3x-4 ^2x- (315 +x)=1 in the interval (0,315) is equal toNot in JEE Main syllabus
- The number of ordered pairs (x,y), where x,y [0,10], satisfying ( ^2x- x+ 12 ) 2^ ^2y 1 isNot in JEE Main syllabus
- Statement 1: If ( 2 )= ( 2 ), then + = 2. Statement 2: - 2 + 2.