`2^(-2)^(2)`is equal to

If G is the centroid of a DeltaABC , then GA^(2)+GB^(2)+GC^(2) is equal to

If sin((23pi)/(24))=sqrt((2sqrtp-sqrtq-1)/(4sqrtr)) , then the value of (p^(2)+q^(2)-r^(2)) is equal to

In a DeltaABC ,a cos^(2)(B/2)+bcos^(2)(A/2) is equal to

In a DeltaABC, b cos^(2) (C/2) + c cos^(2) (B/2) is equal to

lim_(n to oo ) {(n)/(n^(2)+1^(2))+(n)/(n^(2)+2^(2))+....+ (n)/(n^(2)+n^(2))} is equal to

If the system of equation 14x-3y+z=12, x-2y=0 and x+2z=0 has a solution (x_(0), y_(0), z_(0)) , then the value of x_(0)^(2)+y_(2)^(2)+z_(2)^(2) is equal to

The value of lim_(xrarrpi)(tan(picos^(2)x))/(sin^(2)(2x)) is equal to

Sigma_(r=1)^(50)(r^2)/(r^2+(11-r)^2) is equal to ______.

The value of lim_(xrarroo)((lnx)^(2))/(2+3x^(2)) is equal to

In a Delta ABC , the minimum value of sec^(2). (A)/(2)+sec^(2). (B)/(2)+sec^(2). (C)/(2) is equal to