Q. 133.7( 3 Votes )

<span lang="EN-US

Answer :

Given:


a, b, c are in G.P.


To find:


Area of the triangle formed by the line ax + by + c = 0 with the coordinates axes.


Explanation:


The point of intersection of the line ax + by + c = 0 with the coordinate axis are (–c/a,0) and (0,-c/b).


So, the vertices of the triangle are (0, 0),


Let A be the area of the required triangle.


A


A


It is given that a, b and c are in GP.


b2 = ac


A


Hence, area A


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 :

The figure formedRD Sharma - Mathematics

The centroid of aRD Sharma - Mathematics

Two vertices of aRD Sharma - Mathematics

Three vertices ofRD Sharma - Mathematics

A(6, 3), B(-3, 5)RD Sharma - Mathematics

If the point (5, RD Sharma - Mathematics

<span lang="EN-USRD Sharma - Mathematics

<span lang="EN-USRD Sharma - Mathematics