Q. 205.0( 4 Votes )

Find the image of

Answer :

Given: (3, 8) is given point and line mirror is x + 3y – 7 = 0.


To find:


Image of point with respect to mirror line.


Explanation:


Let the image of A (3,8) be B (a,b).


Also, let M be the midpoint of AB.


Coordinates of M


Diagram:



Point M lies on the line x + 3y = 7



a + 3b + 13 = 0 … (1)


Lines CD and AB are perpendicular


Slope of AB × Slope of CD = 1



b – 8 = 3a – 9


3a-b-1 = 0 … (2)


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



a = -1, b = -4


Hence, the image of the point (3, 8) with respect to the line mirror x + 3y = 7 is


( 1, 4).


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