Show that the point a' is the reflection of the point a in the line `zbarb+barzb+c=0,` If `a'barb+barab+c=0.`

The reflection of the point (4,-13) about the line 5x+y+6=0 is

Let bar b z+b bar z=c, b ne 0 , be a line in the complex plane, where bar b is the complex conjugate of b. If a point z_1 is the reflection of a point z_2 through the line, then show that : c= bar z_1 b+z_2 bar b .

the matrix [(0,1),(1,0)] is the matrix reflection in the line

Show that the points (1, 0), 6, 0), (0, 0) are collinear.

Consider a point A(m,n) , where m and n are positve intergers. B is the reflection of A in the line y=x , C is the reflaction of B in the y axis, D is the reflection of C in the x axis and E is the reflection of D is the y axis. The area of the pentagon ABCDE is

Let C be the set of curves having the property that the point of intersection of tangent with y-axis is equidistant from the point of tangency and origin (0,0) If C_(3) in C C_(3): is passing through (2,4). If (x)/(a)+(y)/(b)=1. is tangent to C_(3) , then

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 .

Show that the points A(1,2),B(-1,-16) and C(0,-7) lie on the graph of the linear equation y=9x-7 .

The image of the point A (1,2) by the line mirror y=x is the point B and the image of B by the line mirror y=0 is the point (alpha,beta) , then

For a gt b gt c gt 0 , the distance between (1, 1) and the point of intersection of the lines ax+by+c =0 and bx+ay+c=0 is les than 2sqrt(2) . Then