JEE  >  All Types of Questions for JEE  >  Integer Answer Type Questions: Properties of triangle

Integer Answer Type Questions: Properties of triangle - Notes | Study All Types of Questions for JEE - JEE

1 Crore+ students have signed up on EduRev. Have you?

Q.1. If in a triangle Integer Answer Type Questions: Properties of triangle - Notes | Study All Types of Questions for JEE - JEE then angle C is π/k, the numerical quantity k must be

Ans. 3
Integer Answer Type Questions: Properties of triangle - Notes | Study All Types of Questions for JEE - JEE will simplify to
a2 + b2- c2 = ab
Integer Answer Type Questions: Properties of triangle - Notes | Study All Types of Questions for JEE - JEE
Integer Answer Type Questions: Properties of triangle - Notes | Study All Types of Questions for JEE - JEE
⇒ cos C = 1/2 ⇒ c = 60o


Q.2. If b + c = 3a, then cot B/2 cot C/2 must be equal to

Ans. 2
Integer Answer Type Questions: Properties of triangle - Notes | Study All Types of Questions for JEE - JEE
Integer Answer Type Questions: Properties of triangle - Notes | Study All Types of Questions for JEE - JEE


Q.3. If in a ΔABC, a/cosA = b/cosB, then k sin A cos B = sin C. Where k is equal to . .

Ans. 2
Integer Answer Type Questions: Properties of triangle - Notes | Study All Types of Questions for JEE - JEE
or sin A cos B = cos A sin B
or 2sin A cos B = cos A sin B + sin A cosB = sin (A + B) = sin C


Q.4. In a triangle ABC, side AB = 20, AC = 11, BC = 13, then the diameter of the semicircle inscribed in triangle ABC, whose diameter lies on AB and is touching AC and BC is ___

Ans. 11
CT1 = CT2 = x
AB = 20
AC = 11
BC = 13
In ΔABC sinA = 3/5 and sinB = 33/65 also
Integer Answer Type Questions: Properties of triangle - Notes | Study All Types of Questions for JEE - JEE
⇒ r = 11/2


Q.5. A cyclic quadrilateral ABCD of area 3√3/4 is inscribed in a unit circle. If one of its sides AB = 1 and the diagonal BD = √3 then find the sum of all its sides.

Ans. 4
By sine rule AB = 1
Integer Answer Type Questions: Properties of triangle - Notes | Study All Types of Questions for JEE - JEE4.

The document Integer Answer Type Questions: Properties of triangle - Notes | Study All Types of Questions for JEE - JEE is a part of the JEE Course All Types of Questions for JEE.
All you need of JEE at this link: JEE
376 docs
Download as PDF

Download free EduRev App

Track your progress, build streaks, highlight & save important lessons and more!

Related Searches

Viva Questions

,

ppt

,

study material

,

practice quizzes

,

Integer Answer Type Questions: Properties of triangle - Notes | Study All Types of Questions for JEE - JEE

,

pdf

,

Free

,

past year papers

,

MCQs

,

mock tests for examination

,

Integer Answer Type Questions: Properties of triangle - Notes | Study All Types of Questions for JEE - JEE

,

Previous Year Questions with Solutions

,

Exam

,

Sample Paper

,

shortcuts and tricks

,

Objective type Questions

,

Summary

,

Important questions

,

Integer Answer Type Questions: Properties of triangle - Notes | Study All Types of Questions for JEE - JEE

,

video lectures

,

Extra Questions

,

Semester Notes

;