If `Q(h,k)` is the foot of the perpendicular from `P(x_(1) ,y_(1))` on the line `ax + by+ c=0` then `Q(h,k)` is

If Q(h,k) is the foot of the perpendicular from P(x_(1),y_(1)) on the line ax+by+c=0 then (h-x_(1))/(a)=(k-y_(1))/(b) =_____ .

If (h,k) is the foot of the perpendicular from (x_(1),y_(1)) to the line ax+by+c=0, (a!=0,b!=0) then (h-x_(1))/(a)=(k-y_(1))/(b)=(-(ax_(1)+by_(1)+c))/(a^(2)+b^(2)) Find the foot of the perpendicular from (-1,3) to the line 5x-y=18

Foot of the perpendicular from a point (x_(1),y_(1)) on the line ax + by + c= 0 is given by

If Q is the foot of the perpendicular from P(2, 4,3] on the line joining the points (1,2,4] and B(3,4,5} , then the coordinates of Q are

Let P(x_(1),y_(1)) be a point a line an let ax+by+c=0. If L(h,k) is the foot of perpendicular drawn from P on this line and Q(alpha,beta) is the image of P in the given line the prove that

Let P (x_1,y_1) be a point and let ax + by+ c = 0 be a line. If L (h, k) is the foot of perpendicular drawn from P on this line and Q (alpha, beta) is the image of P in the given line, then prove that

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

Find the coordinates of the foot of the perpendicular drawn from the point P(1,-2) on the line y = 2x +1. Also, find the image of P in the line.

Let P be the foot of perpendicular drawn from a point Q on the line x + y +4 = 0 to the line 5x + y = 0. If P is the image of point R(12, 0) about the line x + y = 2, then coordinates of Q are

Let P be the foot of perpendicular drawn from a point Q on the line x + y +4 = 0 to the line 5x + y = 0. If P is the image of point R(12, 0) about the line x + y = 2, then coordinates of Q are