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)

Question

Saurabh Koranglekar · Answer

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

Vikas TU · Answer

Dear student Question is not clear Please attach an image, We will happy to help you Good Luck Cheers

Arun · Answer

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

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

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)

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)

3 Answers

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on Analytical Geometry

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship