EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Properties of Triangles>TS EAMCET - 5 August 2021 Shift 1>Q 13

HARD

TS EAMCET

IMPORTANT

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If $4$ times the area of a $∆ A B C$ is $c^{2} - (a - b)^{2},$ then $\sin C$

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Important Questions on Properties of Triangles

HARD

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Properties of Triangles>TS EAMCET - 5 August 2021 Shift 1>Q 14

In a triangle

A B C,

if

\cot \frac{A}{2} \cot \frac{B}{2} = K,

then all the possible values of

K

lies in

MEDIUM

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Properties of Triangles>TS EAMCET 2020 (9-Sep Shift-1)>Q 15

In

Δ A B C

, if

a : b : c = 4 : 5 : 6

, then the ratio of the circumradius to its inradius is

MEDIUM

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Properties of Triangles>TS EAMCET 2020 (9-Sep Shift-1)>Q 16

If

d_{1}, d_{2}, d_{3}

are the diameters of three ex-circles of a

Δ A B C

, then

d_{1} d_{2} + d_{2} d_{3} + d_{3} d_{1} =

MEDIUM

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Properties of Triangles>TS EAMCET 2019 (03-May Shift-2)>Q 17

If

p_{1}, p_{2}, p_{3}

are the altitudes of a

∆ A B C

from the vertices

A, B, C

respectively, then with the usual notation,

\frac{1}{r_{1}^{2}} + \frac{1}{r_{2}^{2}} + \frac{1}{r_{3}^{2}} + \frac{1}{r^{2}} =

HARD

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Properties of Triangles>TS EAMCET 2019 (03-May Shift-2)>Q 18

If

p_{1}, p_{2}, p_{3}

are the altitudes of a triangle

A B C

from the vertices

A, B, C

respectively, then with the usual notation,

\frac{1}{r_{1}^{2}} + \frac{1}{r_{2}^{2}} + \frac{1}{r_{3}^{2}} + \frac{1}{r^{2}} =

MEDIUM

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Properties of Triangles>TS EAMCET 2021 (04-Aug Shift-1)>Q 19

In a triangle

A B C,

if

a : b : c = 4 : 5 : 6,

then

\frac{1}{4 R} [r_{1} + r_{2} + r_{3}] =

EASY

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Properties of Triangles>TS EAMCET 2021 (04-Aug Shift-1)>Q 20

In a triangle

A B C,

with usual notation, if

a = 12, b = 16, c = 20,

then the ratio of the exradii of the triangle opposite to the angles in the order

∠ C, ∠ B, ∠ A

is

EASY

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Properties of Triangles>TS EAMCET 2021 (04-Aug Shift-2)>Q 21

In a

∆ A B C,

if

(a - b) (s - c) = (b - c) (s - a)

then

r_{1}, r_{2}

and

r_{3}

are