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True or False : Reflection of the poin...

True or False :
Reflection of the point (1,4) in the line x = y is (-4,-1).

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Statement I Reflection of the point (5,1) in the line x+y=0 is (-1,-5) Statement II Reflection of a point P(alpha,beta) in the line ax+by+c= 0 is Q (alpha',beta' ) " if " ((alpha +alpha')/2 ,(beta +beta' )/2) lies on the line .

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Point (4, 1) lies on the line :

True or false The distance of the point (-2,4,-5) from the line (x+3)/3=(y-4)/5=(z+8)/6 is sqrt(37/10) .

Assuming that straight line works as the plane mirror for a point, find the image of the point (1, 2) in the line x-3y+4=0.

Find the image of point (5, 1, 0) in the line x-1/2=y-3/-1=z-4/3

Find the image of the point (5, 1, 0) in the line given by the equations : (x-1)/2=(y-3)/-1=(z-4)/3 .

Find the distance of the line 4x + 7y + 5 = 0 from the point (1, 2) along the line 2x-y = 0 .

Find the coordinates of the foot of perpendicular from the point (-1, 3) to the line 3x -4y -16 = 0 .

If each of the points (x_1,4),(-2,y_1) lies on the line joining the points (2,-1)a n d(5,-3) , then the point P(x_1,y_1) lies on the line.