Practice questions
88551 published questions with worked solutions.
- Statement 1: 36^ > 36^ . Statement 2: 36^ > 36^ .
- The greatest value of for which 5 =0 isNot in JEE Main syllabus
- The value of 3 [ ^4 ( 3 2 - )+ ^4(3 + ) ]-2 [ ^6 ( 2 + )+ ^6(5 - ) ] is equal to
- If x+ y+ =0 and x+ y+ =0, then ( x+y 2 ) is equal to
- If x=r , y=r and z=r , then the value of x^2+y^2+z^2 is independent of
- 6^ 42^ 66^ 78^ is equal to
- The value of the expression 1- ^2y 1+ y + 1+ y y - y 1- y is equal to
- If = , then ^2 ( 2 ) is equal to
- The greatest and least values of x x are respectively
- Statement 1: _ r=1 ^ n (1+ 2^r )= 2^n . Statement 2: _ r=1 ^ n (2^ r-1 )= (2^n ) 2^n .
- If ( - ), and ( + ) are in HP, then 2 is equal to
- If 2 < < , < < 3 2 , = 15 17 and = 12 5 , then the value of ( - ) is
- If =22^ 30', then (1+ )(1+ 3 )(1+ 5 )(1+ 7 ) equals
- Statement 1: ^3 + ^3 ( + 2 3 )+ ^3 ( + 4 3 )=3 ( + 2 3 ) ( + 4 3 ). Statement 2: If a+b+c=0, then a^3+b^3+c^3=3abc.
- The number of solutions of the equation ^5x- ^5x= 1 x - 1 x ( x x) isNot in JEE Main syllabus
- The total number of solutions of ^4x+ ^4x= x x in [0,2 ] is equal toNot in JEE Main syllabus
- The general solution of ^2 + 3 =0 isNot in JEE Main syllabus
- The number of ordered pairs (x,y) satisfying y=2 x and y=5x^2+2x+3 isNot in JEE Main syllabus
- If the solutions for of p + q =0, p>0, q>0, are in AP, then the numerically smallest common difference of the AP isNot in JEE Main syllabus
- If 1- 2 1+ 2 =3, then the general value of isNot in JEE Main syllabus