The value of `1^(2) - 2^(2) + 3^(2) - 4^(2) + ….. + 11^(2)` is equal to

The value of 1- 1/2(3/4) + 1/3(3/4)^(2) -1/4(3/4)^(3) + ... is:

The value of 1-1/2(2/3)+1/3(2/3)^(2)-1/4(2/3)^(3)+... is

The value of sqrt((1-x)^(2)(2-x)^(2)(3-x)^(2)) when x=4 is ___.

If a_(1), a_(2), a_(3), ……. , a_(n) are in A.P. and a_(1) = 0 , then the value of (a_(3)/a_(2) + a_(4)/a_(3) + .... + a_(n)/a_(n - 1)) - a_(2)(1/a_(2) + 1/a_(3) + .... + 1/a_(n - 2)) is equal to

int (x^2 -1 )/ (x^3 sqrt(2x^4 - 2x^2 +1))dx is equal to

The value of |-1 2 1 3+2sqrt(2)2+2sqrt(2)1 3-2sqrt(2)2-2sqrt(2)1| is equal to a. zero b. -16sqrt(2) c. -8sqrt(2) d. none of these

Value of the expression (sec1 1^(@)sec1 9^(@)-2cot7 1^(@))/tan11^(@) is equal to

The value of the determinant [(1^2, 2^2, 3^2, 4^2) ,(2^2, 3^2 ,4^2,5^2) ,(3^2, 4^2,5^2 ,6^2) ,(4^2, 5^2, 6^2, 7^2)] is equal to 1 b. 0 c. 2 d. 3

Let z_(1)=3+4i" and "z_(2)= -1+2i . Then |z_(1)+z_(2)|^(2)-2(|z_(1)|^(2)+|z_(2)|^(2)) is equal to

The value of cos^(-1)sqrt(2/3)-cos^(-1)((sqrt(6)+1)/(2sqrt(3))) is equal to (A) pi/3 (B) pi/4 (C) pi/2 (D) pi/6