JEE Exam  >  JEE Notes  >  35 Years Chapter wise Previous Year Solved Papers for JEE  >  Integer Answer Type Questions: Properties of Triangle | JEE Advanced

Integer Answer Type Questions: Properties of Triangle | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE PDF Download

Integer Value Correct Type

Q. 1. Let ABC and ABC' be two non-congruent triangles with sides AB = 4, AC = AC' = 2√2 and angle B = 30°. The absolute value of the difference between the areas of these triangles is

Ans. 4

Solution.  Let ∠ACC' = θ , then ∠AC'C = θ  (∴ AC = AC') and ∠AC' B = 180 - θ.

Integer Answer Type Questions: Properties of Triangle | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE

Applying sine law in Δ ABC', we get

Integer Answer Type Questions: Properties of Triangle | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE
So, the required area = ar (ΔABC) - ar (ΔABC')

Integer Answer Type Questions: Properties of Triangle | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE


Q. 2. Consider a triangle ABC and let a , b and c denote the lengths of the sides opposite to vertices A, B and C respectively. Suppose a = 6, b = 10 and the area of the triangle is 15√3 , if ∠ACB is obtuse and if r denotes the radius of the incircle of the triangle, then r2 is equal to

Ans. 3

Solution. 

Integer Answer Type Questions: Properties of Triangle | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE
Integer Answer Type Questions: Properties of Triangle | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE

⇒  C = 120° as C is obtuse angle.

Integer Answer Type Questions: Properties of Triangle | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE

Integer Answer Type Questions: Properties of Triangle | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE

The document Integer Answer Type Questions: Properties of Triangle | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE is a part of the JEE Course 35 Years Chapter wise Previous Year Solved Papers for JEE.
All you need of JEE at this link: JEE
347 docs|185 tests

Top Courses for JEE

Explore Courses for JEE exam

Top Courses for JEE

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

MCQs

,

Integer Answer Type Questions: Properties of Triangle | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE

,

ppt

,

mock tests for examination

,

practice quizzes

,

Semester Notes

,

study material

,

Viva Questions

,

Objective type Questions

,

shortcuts and tricks

,

Exam

,

pdf

,

Important questions

,

Previous Year Questions with Solutions

,

past year papers

,

Free

,

Integer Answer Type Questions: Properties of Triangle | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE

,

Integer Answer Type Questions: Properties of Triangle | JEE Advanced | 35 Years Chapter wise Previous Year Solved Papers for JEE

,

video lectures

,

Extra Questions

,

Sample Paper

,

Summary

;