If `a+1/2=6` then `a^4` is equal to

If sin^(-1)(tan(pi/4))-sin^(-1)(sqrt(3/y))-(pi)/6=0 and x^(2)=y then x is equal to

If sin^6 theta + cos^6 theta + k sin^2 2theta =1 , then k is equal to :

If the sequence (a_(n)) is in GP, such that a_(4)//a_(6)=1//4 and a_(2)+a_(5)=216, then a_(1) is equal to

Let coefficient of x^4 and x^2 in the expansion of (x+sqrt(x^2-1))^6+(x-sqrt(x^2-1))^6 is alpha and beta then alpha-beta is equal to

Consider the matrix A=[(3,1),(-6,-2)] , then (I+A)^(40) is equal to

If A is non-singular and (A-2I)(A-4I)=0 , then ,1/6A+4/3A^(-1) is equal to a. 0I b. 2I c. 6I d. I

In a DeltaP Q R , if 3sinP+4cosQ=6 and 4sinQ+3cosP=1 , then the angle R is equal to (1) (5pi)/6 (2) pi/6 (3) pi/4 (4) (3pi)/4

int_2^4 1/x dx is equal to

If 3^(x+1)=6^(log_(2)3) , then x is equal to