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 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 (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

The foot of the perpendicular from (1,2) on the line x-3y+7=0 is

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

Find the foot of the perpendicular from the point (-1,2) on the st. Line x-y+5=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 (h, r) is the foot of the perpendicular from (x_1, y_1) to lx+my+n=0 , prove that : (x_1-h)/l, = (y_1 - r)/m, = (lx_1 + my_1 +n)/(l^2 + m^2)

The foot of the perpendicular from (2,4,-1) to the line (x+5)/(1)=(y+3)/(4)=(z-6)/(-9) is

(i ) If the length of perpendicular from origin to the line ax+by+a+b=0 is p , then show that : p^(2)-1=(2ab)/(a^(2)+b^(2)) (ii) If the length of perpendicular from point (1,1) to the line ax-by+c=0 is unity then show that : (1)/(a)-(1)/(b)+(1)/(C )=(c )/(2ab)

Find the coordinates of the foot of the perpendicular drawn from the point (1,-2) on the line y=2x+1