Practice questions
88551 published questions with worked solutions.
- The sum S= + 2 + + n equals
- If 7 x-24 x= (x+ ), 0< < 2 , is true for all x R, then
- If A- B=x and B- A=y, then (A-B) is equal to
- If =(1+2^ -x )^ -1 and =(1+2^ x+1 )^ -1 , then + equals
- If A=m B and A+B 2 = B-A 2 , then is
- If A B = 3 2 and A B = 5 2 , 0<A,B< 2 , then
- Statement 1: +2 2 +4 4 +8 8 +16 16 = . Statement 2: - =2 2 .
- 2 5 - 15 - 3 2 5 15 is equal to
- If x a+y 2a+z 3a= 4a, x b+y 2b+z 3b= 4b and x c+y 2c+z 3c= 4c, then the roots of the equation t^3- ( z 2 )t^2- ( y+2 4 )t+ ( z-x...
- The value of ^2 +1 ^2 -1 is equal to
- If = 1 x(x^2+x+1) , = x x^2+x+1 and = x^ -3 +x^ -2 +x^ -1 , then + is
- If an angle is divided into two parts such that the tangent of one part is k times the tangent of the other and is their...
- If A= ^2 + ^4 , then for all real values of
- The maximum value of 4 ^2x+3 ^2x+ x 2 + x 2 is
- Let n be an odd integer. If n = _ r=0 ^ n b_r ^r for all real , then
- If ( - )=a and ( - )=b, then ^2( - )+2ab ( - ) is equal to
- The equation ^4x+ ^4x=a has a real solution ifNot in JEE Main syllabus
- Statement 1: If xy+yz+zx=1, then x 1+x^2 = 2 (1+x^2) . Statement 2: In a ABC, 2A+ 2B- 2C=4 A B C.
- A circular wire of diameter 10 cm is cut and placed along the circumference of a circle of diameter 1 m. The angle subtended by...
- If x = y ( - 2 3 ) = z ( + 2 3 ) , then x+y+z is equal to