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# let P(x,y) be a point and let me a line if l(h,k) is the foot of perpendicular drawn from be on this line and q(Alpha, beta) is image of P in the given line then prove that (h-x)/a=(k-y)/b=-(ax+by+c)/(a^2+b^2)

Saurabh Koranglekar
one year ago
Dear student

Please write the Question in a standard form or attach an image of the question

Regards
Vikas TU
14149 Points
one year ago
Dear student
Question is not clear
Good Luck
Cheers
Arun
25763 Points
one year ago
Let P(h, k) be the given point, let Q(x, y) be the foot of the perpendicular, and let O be the origin. The line can have any direction.
∠PQO = 90°
Point Q lies on the circle having diameter OP.
The locus of point Q:
(x - 0)(x - h) + (y - 0)(y - k) = 0
x² + y² - hx - ky = 0