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

If the reflection of 2x+y-1=0 about the line x+y+3=0, is ax+by+10=0 then b is equal to

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

Show that the equation of a line passing through a given point (x_(1),y_(1)) and perpendicular to the line ax+by +c =0 is b(x- x_(1))-a(y-y_(1)) =0.

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

Show that the equation of the straight line through (alpha,beta) and through the point of intersection of the lines a_(1)x+b_(1)y+c_(1)=0 and a_(2)x+b_(2)y+c_(2)=0 is (a_(1)x+b_(1)y+c_(1))/(a_(1)alpha+b_(1)beta+c_(1))=(a_(2)x+b_(2)y+c_(2))/(a_(2)alpha+b_(2)beta+c_(2))

If the line x+y=0 touches the curve y=x^(2)+bx+c at the point x=-2 , then : (b,c)-=

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+38y-38=0 (B) 41x-38y+38=0( C) 41x+25y-25=0 (D) 41x-25y+25=0

The equation of the circumcircle of the triangle formed by the lines x=0,y=0,(x)/(a)-(y)/(b)=1, is

The area of the triangle formed by the lines x=0,y=0 and (x)/(a)+(y)/(b)=1 is.