EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Properties of Triangles>MHT-CET 2020 (13-Oct Shift 1)>Q 5

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IMPORTANT

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With usual notations, in $∆ A B C$ , if $b \cos^{2} \frac{C}{2} + c \cos^{2} \frac{B}{2} = \frac{3 a}{2}$ , then

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Important Questions on Properties of Triangles

EASY

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Properties of Triangles>MHT-CET 2020 (13-Oct Shift 1)>Q 1

In

∆ A B C

with usual notations

a = 4, b = 3

,

∠ A = 60^{°}

, then

c

is a root of the equation

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Properties of Triangles>MHT-CET 2020 (12-Oct Shift-1)>Q 2

If two angles of

∆ A B C

are

\frac{π}{4}

and

\frac{π}{3}

, then the ratio of the smallest and the greatest side is

MEDIUM

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Properties of Triangles>MHT-CET 2020 (12-Oct Shift-1)>Q 3

With usual notations in

∆ A B C

, if

a = 2, b = 3, c = 5

and

\frac{\cos A}{a} + \frac{\cos B}{b} + \frac{\cos C}{c} = \frac{k + 7}{30}

, then

k =

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Properties of Triangles>MHT-CET 2017>Q 4

In

Δ A B C

, if

\sin^{2} A + \sin^{2} B = \sin^{2} C

and

l (A B) = 10

, then the maximum value of the area of

Δ A B C

is

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Properties of Triangles>MHT-CET 2020 (13-Oct Shift 1)>Q 5

With usual notations, in

∆ A B C

, if

b \cos^{2} \frac{C}{2} + c \cos^{2} \frac{B}{2} = \frac{3 a}{2}

, then