[" 6.If "Q(h,k)" is the image of the point "P(x_(1),y_(1))" w.r.t.the straight line "ax+by+c=0],[" then prove that "(h-x_(1))/(a)=(k-y_(1))/(b)=(-2(ax_(1)+by_(1)+c))/(a^(2)+b^(2))" and find the image of "(1,-2)],[" w.r.t.the straight line "2x-3y+5=0]

Find the image of (1,2) in the straight line 3x+4y-1=0

Find the image of (1,2) in the straight line 3x+4y-1=0

If Q(h,k) is the image of the point P(x_(1),y_(1)) w.r.to the straight line ax+by+c=0 then prove that (h-x_(1)):a=(k-y_(1)):b=-2(ax_(1)+by_(1)+c):a^(2)+b^(2) or (h-x_(1))/(a)=(k-y_(1))/(b)=(-2(ax_(1)+by_(1)+c))/(a^(2)+b^(2)) and find the image of (1,-2) w.r.t the straight line 2x-3y+5=0

If Q(h,k) is the foot of the perpendicular of P(x_(1),y_(1)) on the line ax+by+c=0 then prove that (h-x_(1)),a=(k-y_(1)),b=-(ax_(1)+by_(1)+c):(a^(2)+b^(2)) .

The image of the point P (2,1) on the straight line 2x - 3y + 1 = 0 is

The image of the point (2,1) w.r.t the line x+1=0 is

The image of the point (2, 1) w.r.t the line x+1=0 is