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`

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)

The distance between the parallel lnes y=2x+4 and 6x-3y-5 is (A) 1 (B) 17/sqrt(3) (C) 7sqrt(5)/15 (D) 3sqrt(5)/15

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 line (x-2)/1=(y-3)/2=(z+5)/(-2) and 2x-y-kz=lambda is cos^-1 ((2sqrt2)/3) then find k (A) sqrt(3/5) (B) 3/sqrt5 (C) sqrt5/3 (D) sqrt(5/3)

If veca=(3,1) and vecb=(1,2) represent the sides of a parallelogram then the angle theta between the diagonals of the paralelogram is given by (A) theta=cos^-1(1/sqrt(5)) (B) theta=cos^-1(2/sqrt(5)) (C) theta=cos^-1 (1/(2sqrt(5))) (D) theta = pi/2

Tangent of acute angle between the curves y=|x^2-1| and y=sqrt(7-x^2) at their points of intersection is (a) (5sqrt(3))/2 (b) (3sqrt(5))/2 (5sqrt(3))/4 (d) (3sqrt(5))/4

The value of cos^-1[cot(sin^-1(sqrt((2-sqrt3)/4))+cos^-1(sqrt12/4)+sec^-1sqrt2)

Tangent of acute angle between the curves y=|x^2-1| and y=sqrt(7-x^2) at their points of intersection is (5sqrt(3))/2 (b) (3sqrt(5))/2 (5sqrt(3))/4 (d) (3sqrt(5))/4

the value of cos^-1sqrt(2/3)-cos^-1 ((sqrt6+1)/(2sqrt3)) is equal to: