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

sqrt(2+sqrt(2+ sqrt(2+ sqrt(2+sqrt(2)....))))

The point A(2,1) is translated parallel to the line x-y=3 by a distance of 4 units. If the new position A ' is in the third quadrant, then the coordinates of A ' are (A) (2+2sqrt(2),1+2sqrt(2)) (B) (-2+sqrt(2),-1-2sqrt(2)) (C) (2-2sqrt(2) , 1-2sqrt(2)) (D) none of these

The value of (sqrt(3+2sqrt2)+sqrt(3-2sqrt2))^(2^(9)) is ________.

Which of the following is the value of sin 27^0-cos 27^0? (a) -(sqrt(3-sqrt(5)))/2 (b) (sqrt(5-sqrt(5)))/2 (c) -(sqrt(5)-1)/(2sqrt(2)) (d) none of these

Find the value of 2 cos^(-1). (sqrt(3))/2 + sin^(-1). (sqrt(3))/2

Prove that tanpi/(16)=sqrt(4+2sqrt(2))-(sqrt(2)+1)

Simplify (1)/(sqrt3+sqrt2)+(1)/(sqrt3-sqrt2)

If x ,y in R satify the equation x^2+y^2-4x-2y+5=0, then the value of the expression [(sqrt(x)-sqrt(y))^2+4sqrt(x y)]//(x+sqrt(x y)) is a. sqrt(2)+1 b. (sqrt(2)+1)/2 c. (sqrt(2)-1)/2 d. (sqrt(2)+1)/(sqrt(2))

If f^(prime)(x)=1/(-x+sqrt(x^2+1)) and f(0)=(1+sqrt(2))/2 then f(1) is equal to- (a) log"(sqrt(2)+1) (b) 1 (c) 1+sqrt(2) (d) none of these

The value of cot70^0+4cos70^0 is (a) 1/(sqrt(3)) (b) sqrt(3) (c) 2sqrt(3) (d) 1/2