Let `a, b in R`. If the mirror image of the point P(a, 6, 9) with respect to the line `(x-3)/(7)=(y-2)/(5)=(z-1)/(-9)` is (20, b, -a -9), then |a + b| is equal to :

The image of the point (1,6,3) in the line (x)/(1)=(y-1)/(2)=(z-2)/(3) is (a,b,c) then a+b+c=

Find the image of the point (5,9,3) in the line (x-1)/(2)=(y-2)/(3)=(z-3)/(4)

If the mirror image of the point P(3, 4, 9) in the line (x-1)/3=(y+1)/2=(z-2)/1 is (alpha, beta) then the value of 14(alpha+beta+gamma) is.

The image of the point P(3,5) with respect to the line y=x is the point Q and the image of Q with respect to the line y=0 is the point R(a,b), then (a,b) is equal to:

Find the image of the point (p, q, r) with respect to the plane 2x+ y + z = 6. Hence find the image of the line (x-1)/2=(y-2)/1=(z-3)/4 with respect to the plane.

Let P be the image of the point (3, 1, 7) with respect to the plane x-y+z=3 . Then, the equation of the plane passing through P and containing the straight line (x)/(1)=(y)/(2)=(z)/(1) is

Assertion: The point A(1,0,7) is the mirror image of the point B(1,6,3) in the line x/1=(y-1)/2=(z-2)/3 Reason: The line x/1=(y-1)/2=(z-2)/3 bisects the segment joining A(1,0,7) and B(1,6,3). (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: The point A(1,0,7) is the mirror image of the point b(1,6,3) in the line x/1=(y-1)/2=(z-2)/3 Reason: The line x/1=(y-1)/2=(z-2)/3 bisects the segment joining A(1,0,7) and B(1,6,3). (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not the correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Let the curve C be the mirror image of the parabola y^(2)=4x with respect to the line x+y+4=0. If A and B are the points of intersection of C with the line y=-5, then the distance between A and B is