Q. 213.8( 5 Votes )

Find the coordina

Answer :

Given: equation is perpendicular from the point (-1, 3) to the line 3x – 4y – 16 = 0.


To find:


The coordinates of the foot of the perpendicular from the point (-1, 3) to the line 3x – 4y – 16 = 0.


Explanation:


Let A ( 1, 3) be the given point.


Also, let M (h, k) be the foot of the perpendicular drawn from A ( 1, 3) to the line 3x 4y 16 = 0


Diagram:



Point M (h, k) lies on the line 3x 4y 16 = 0


3h 4k 16 = 0 … (1)


Lines 3x 4y 16 = 0 and AM are perpendicular.



4h + 3k – 5 = 0 … (2)


Solving eq (1) and eq (2) by cross multiplication, we get:




Hence, the coordinates of the foot of perpendicular are


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Find the equationRS Aggarwal - Mathematics

Find the equationRS Aggarwal - Mathematics

Find the equationRS Aggarwal - Mathematics

Find the equationRD Sharma - Mathematics

Find the equationRD Sharma - Mathematics

If equation of thRD Sharma - Mathematics

Find the equationRS Aggarwal - Mathematics

Find the image ofRS Aggarwal - Mathematics

A line passes thrRD Sharma - Mathematics

<span lang="EN-USRS Aggarwal - Mathematics