The three planes `4y+6z=5,2x+3y+5z=5 and 6x+5y+9z=10` (a) meet in a point (b) have a line in common (c) form a triangular prism (d) none of these

The three planes 4y+6z=5,2x+3y+5z=5a n d6x+5y+9z=10 a. meet in a point b. have a line in common c. form a triangular prism d. none of these

The planes 2x -y+4z=5 and 5x-2.5y+10z=6 are

The two planes 3x + 3y - 3z - 1 = 0 and x + y - z + 5 = 0 are

The value of lambda for which the lines 3x+4y=5, 5x+4y=4 and lambdax+4y=6 meet at a point is

Find the acute angle between the planes 2x-3y+5z=1 and x-y-z=7 .

Solve x+y+3z=4, 2x+2y+6z=7, 2x+y+z=10.

Consider the lines L_1:(x-1)/2=y/(-1)=(z+3)/1,L_2:(x-4)/1=(y+3)/1=(z+3)/2 and the planes P_1:7x+y+2z=3,P_2:3x+5y-6z=4. Let a x+b y+c z=d be the equation of the plane passing through the point match Column I with Column II. Column I, Column II a= , p. 13 b= , q. -3 c= , r. 1 d= , s. -2

If x ,y ,z are real and 4x^2+9y^2+16 z^2-6x y-12 y z-8z x=0,t h e nx , y,z are in a. A.P. b. G.P. c. H.P. d. none of these

Solve the system: x + y - 2z = 0, 2x - 3y + z = 0, 3x - 7y + 10z = 0, 6x - 9y + 10z = 0.

Find the angle between the two planes 3x - 6y + 2z =7 and 2x + 2y – 2z = 5.