If `2^(x)=4^(y)=8^(z)`,then find `x:y:z`.
`(A) 1:2:3`
`(B) 3:2:1`
`(C) 2:3:1`
` (D) 6:3:2`

If y/(x-z)=(y+x)/z=x/y then find z:y:x A. 1:2:3 B. 3:2:4 C. 4:3:2 D. 2:3:4 A B C D

If x/((2x+y+z))=y/((x+2y+z))=z/((x+y+2z))=a , then find a if x+y+z!=0 . (a)1/3 (b) 1/4 (c) 1/2 (d) 1/8

A plane through the line (x-1)/1=(y+1)/(-2)=z/1 has the equation (A) x+y+z=0 (B) 3x+2y-z=1 (C) 4x+y-2z=3 (D) 3x+2y+z=0

The solution of 2x + y + z = 1 , x-2y-3z = 1 , 3x +2y +4z=5 is (A) 1,2,3 (B) 1,2,-3 (C) 1,-3,2 (D) 1,3,2

The equation of the plane thorugh the point (-1,2,0) and parallel to the lines x/3=(y+1)/0=(z-2)/(-1) and (x-1)/1=(2y+1)/2=(z+1)/(-1) is (A) 2x+3y+6z-4=0 (B) x-2y+3z+5=0 (C) x+y-3z+1=0 (D) x+y+3z-1=0

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

If ( x - 1 )^3 + ( y - 2 )^3 + ( z - 3 )^3 = 3 ( x - 1 ) ( y - 2 ) ( z - 3 ) and x - 1 != y -2 != z-3 , then x + y + z is equal to : ( A ) 2 ( B ) -6 ( C ) 6 ( D ) 4

If the lies (x-3)/(1)=(y+2)/(-1)=(z+lambda)/(-2) lies on the line,2x-4y+3z=2, then the shortest distance between this line and the line,(x-1)/(12)=(y)/(9)=(z)/(4) is (A) 0 (B) 2 (C) 1 (D) 3

If theta is the angel between the planes 2x-y+z-1=0 and x-2y+z+2=0 then costheta= (A) 2/3 (B) 3/4 (C) 4/5 (D) 5/6

Which of the following line is passing through point of intersection of line (x-4)/(2)=(y-3)/(2)=(z-5)/(1) and the plane x+y+z=2( a) (x)/(2)=(y+1)/(3)=(z-3)/(4) (b) (x-2)/(3)=(y-1)/(3)=(z-2)/(2)(c)(x-2)/(2)=(y+1)/(3)=(z-2)/(4)(d)(x-2)/(2)=(y+1)/(3)=(z+3)/(4)