Q. 225.0( 1 Vote )

# Using integration, find the area of the region bounded by the triangle whose vertices are(i) ( – 1, 2), (1, 5) and (3, 4)(ii) ( – 2, 1), (0, 4) and (2, 3)  [CBSE 2017]

Equation of side AB,

Or

Or 3x + 3 = 2y – 4

Or 2y – 3x = 7

...(i)

Similarly, the equation of side BC,

Or

Or – x + 1 = 2y – 10

Or 2y = 11 – x

(ii)

And equation of side AC,

Or

Or

Or x + 1 = 2y – 4

...(iii)

These are shown in the graph below: -

Area of required region

= Area of EABFE + Area of BFGCB – Area of AEGCA

= 4 sq. units

The area of the region bounded by the triangle is 4 sq. units.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Application of Biotechnology48 mins
Fundamental Integration Formula59 mins
Integration by Substitution56 mins
Interactive Quiz on Integration by Parts56 mins
Interactive Quiz on Integration by Substitution47 mins
Lecture on Integration by parts55 mins
Lecture on some forms of integration54 mins
Lecture on integration by partial fractions62 mins
How to find Maxima & Minima?43 mins
Interactive quizz on tangent and normal, maxima and minima43 mins
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
view all courses