If `tanx=ntany ,n in R^+,` then the maximum value of `sec^2(x-y)` is equal to (a)`((n+1)^2)/(2n)` (b) `((n+1)^2)/n` (c)`((n+1)^2)/2` (d) `((n+1)^2)/(4n)`

If tan x=n tan y,n in R^(+), then the maximum value of sec^(2)(x-y) is equal to (a) ((n+1)^(2))/(2n) (b) ((n+1)^(2))/(n)( c) ((n+1)^(2))/(2) (d) ((n+1)^(2))/(4n)

If n in N >1 , then the sum of real part of roots of z^n=(z+1)^n is equal to n/2 b. ((n-1))/2 c. n/2 d. ((1-n))/2

If n in N>1, then the sum of real part of roots of z^(n)=(z+1)^(n) is equal to (n)/(2) b.((n-1))/(2) c.-(n)/(2) d.((1-n))/(2)

If y=x^(n-1)lnx then x^2y_2+(3-2n)x y_1 is equal to (a) -(n-1)^2y (b) (n-1)^2y (c) -n^2y (d) n^2y

The value of C_1/2+C_3/4+C_5/6+………. is equal to (A) (2^n=1)/(n-10 (B) 2^n/(n=1) (C) (2^n+1)/(n+1) (D) (2^n-1)/(n+1)

The value of sum_(r=1)^n(sum_(p=0)^(r-1) ^nC_r ^rC_p 2^p) is equal to (a) 4^(n)-3^(n)+1 (b) 4^(n)-3^(n)-1 (c) 4^(n)-3^(n)+2 (d) 4^(n)-3^(n)

The value of sum_(r=1)^n(sum_(p=0)^(r-1) ^nC_r ^rC_p 2^p) is equal to (a) 4^(n)-3^(n)+1 (b) 4^(n)-3^(n)-1 (c) 4^(n)-3^(n)+2 (d) 4^(n)-3^(n)

The mean deviation of the series a , a+d , a+2d ,.....,a+2n from its mean is (a) ((n+1)d)/(2n+1) (b) (n d)/(2n+1) (c) (n(n+1)d)/(2n+1) (d) ((2n+1)d)/(n(n+1))

The mean deviation of the series a , a+d , a+2d , , a+2n from its mean is ((n+1)d)/(2n+1) (b) (n d)/(2n+1) (c) (n(n+1)d)/(2n+1) (d) ((2n+1)d)/(n(n+1))

The mean deviation of the series a , a+d , a+2d ,.....,a+2nd from its mean is (a) ((n+1)d)/(2n+1) (b) (n d)/(2n+1) (c) (n(n+1)d)/(2n+1) (d) ((2n+1)d)/(n(n+1))