Q. 155.0( 2 Votes )

Show that the poi

Answer :

Given points are (a + 5, a – 4), (a – 2, a + 3) and (a, a)

To Prove: these points don’t lie on straight line for any value of a


So, we have to show that these points form a triangle.


Area of triangle:-




Applying R2 R2 – R1, we get




Applying R3 R3 – R1, we get




Now, expanding along third column, we get




Hence, given points form a triangle i.e. points do not lie on a straight line.


Hence Proved


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 :

Show that the Δ AMathematics - Exemplar

Show that the poiMathematics - Exemplar

If the co-ordinatMathematics - Exemplar

Find the value ofRS Aggarwal - Mathematics

If A(-2, 0), B(0,RS Aggarwal - Mathematics

Find the area of RS Aggarwal - Mathematics

Find the value ofRS Aggarwal - Mathematics

Find the value ofRS Aggarwal - Mathematics

The area of a triMathematics - Exemplar