Show that the reflection of the line `a x+b y+c=0` on the line `x+y+1=0` is the line `b+a y+(a+b-c)=0` where `a!=bdot`

Show that the reflection of the line a x+b y+c=0 on the line x+y+1=0 is the line bx+a y+(a+b-c)=0 where a!=bdot

Show that the reflection of the line px+qy+r=0 in the line x+y+1 =0 is the line qx+py+(p+q-r)=0, where p!= -q .

The condition on a and b , such that the portion of the line a x+b y-1=0 intercepted between the lines a x+y=0 and x+b y=0 subtends a right angle at the origin, is a=b (b) a+b=0 a=2b (d) 2a=b

Show that the equation to the plane containing the line y/b+ z/c =1, x=0, and parallel to the line x/a -z/c=1, y=0is x/a-y/b -z/c+1=0, and if 2d is the shortest, distance between given lines, prove that (1)/(d ^(2)) = (1)/(a ^(2)) + (1)/(b ^(2)) + (1)/(c ^(2)).

Write the area of the figure formed by the lines a|x|+b|y|+c=0.

Find the point of intersection of the following pairs of lines: b x+a y=a b\ a n d\ b x+a y=a bdot

A ray of light is incident along a line which meets another line, 7x-y+1 = 0 , at the point (0, 1). The ray isthen reflected from this point along the line, y+ 2x=1 . Then the equation of the line of incidence of the ray of light is (A) 41x + 38 y - 38 =0 (B) 41 x - 38 y + 38 = 0 (C) 41x + 25 y - 25 = 0 (D) 41x - 25y + 25 =0

Prow that the line through the point (x_1, y_1) and parallel to the line A x+B y+C=0 is A(x-x_1)+B(y-y_1)=0 .

If the line a x+b y+c=0 is a normal to the curve x y=1, then a >0,b >0 a >0,b >0 (d) a<0,b<0 none of these

If the line a x+b y+c=0 is a normal to the curve x y=1, then a >0,b >0 a >0,b >0 (d) a<0,b<0 none of these