The angle between two planes `x+2y+2z=3 and -5x+3y+4z=9` is (A) `cos^-1(3sqrt(2))/10` (B) `cos^-1 (19sqrt(2))/30` (C) `cos^-1 (9sqrt(2))/20` (D) `cos^-1 (3sqrt(2))/5`

sin^(-1)(-(sqrt(3))/(2))+cos^(-1)((sqrt(3))/(2))

The angle between the plane 2x-y+z=6 nand x+y+2z=3 is (A) pi/3 (B) cos^-1 1/6 (C) pi/4 (D) pi/6

Prove that cos^(-1) (sqrt(1/3))-cos^(-1) (sqrt((1)/(6)))+cos^(-1) ((sqrt(10)-1)/(3sqrt2))=cos^(-1) (2/3)

cos^(-1)x sqrt(3)+cos^(-1)x=(pi)/(2)

The shortest distance between the line yx=1 and the curve x=y^(2) is (A)(3sqrt(2))/(8) (B) (2sqrt(3))/(8) (C) (3sqrt(2))/(5) (D) (sqrt(3))/(4)

If quad x_(1)=cos^(-1)((3)/(5))+cos^(-1)((2sqrt(2))/(3)) and x_(2)=sin^(-1)((3)/(5))+sin^(-1)((2sqrt(2))/(5))

The area bounded between the parabolas x^(2)=(y)/(4) and x^(2)=9y and the straight line y=2 is (1)20sqrt(2)(2)(10sqrt(2))/(3) (3) (20sqrt(2))/(3) (4) 10sqrt(2)

If angle between the lines (x-2)/(1)=(y-3)/(2)=(z+5)/(-2) and 2x-y-kz=lambda is cos^(-1)((2sqrt(2))/(3)) then find k( A) sqrt((3)/(5))(B)(3)/(sqrt(5))(C)(sqrt(5))/(3)(D)sqrt((5)/(3))

sin ^ (- 1) ((x ^ (2)) / (4) + (y ^ (2)) / (9)) + cos ^ (- 1) ((x) / (2sqrt (2)) + (y) / (3sqrt (2)) - 2)

The value of cos48cos12 (A) (sqrt(5)+3)/(8) (B) (3-sqrt(5))/(2) (C) (sqrt(5)+1)/(4) (D) (sqrt(5)-1)/(4)