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Find the image of the point (1, 2, 3) in...

Find the image of the point `(1, 2, 3)` in the line `(x-6)/(3)=(y-7)/(2)=(z-7)/(-2)`.

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Find the distance of the point (1,2,3) from the line (x-6)/(2)=(y-7)/(2)=(z-7)/(-3) .

Find the image of the point (1,6,3) in the line (x)/(1)=(y-1)/(2)=(z-2)/(3) . Also, write the equation of the line joining the given point and its image and find the length of the segment joining the given point and its image.

Find the distance of the point (1,2,3) from the line (x-6)/2 = (y-7)/2= (z-7)/-3 .

Statement - I: 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) . Statement - II : The line (x)/(1)=(y-1)/(2)=(z-2)/(3) bsects the line segment joining A(1,0,7) and B (1,6,3).

Find the image of the point (1,6,3) with respect to the line x/1=(y-1)/2=(z-2)/3 and also find the equation of the line passing through the point and its image.

If the length of the perpendicular drawn from (1,2,3) to the line (x-6)/(3)=(y-7)/(2)=(z-7)/(-2) is K units, then the value of K is -

The length of the perpendicular drawn from (1,2,3) to the line (x-6)/3=(y-7)/2=(z-7)/(-2) is a. 4 b. 5 c. 6 d. 7

Find the equation of the plane passing through the point A(1,2,1) and perpendicular to the line joining the points P(1,4,2) and Q (2,3,5) . Also , find the distance of this plane from the line (x+3)/(2)=(y-5)/(-1)=(z-7)/(-1) .

Find the equation of a line passing through the point (1,2,3) and parallel to the line (x-1)/(2)=(7-y)/(3)=-z .

Find the equation of the plane passing through the line (x-1)/(5)=(y+2)/(6)=(z-3)/(4) and point (4, 3, 7) .

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