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Grade: 11

                        

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 years ago

Answers : (3)

Saurabh Koranglekar
askIITians Faculty
8407 Points
							Dear student

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

Regards
6 months ago
Vikas TU
12281 Points
							
Dear student 
Question is not clear 
Please attach an image, 
We will happy to  help you 
Good Luck
Cheers
6 months ago
Arun
24735 Points
							
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
 
 
6 months ago
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