TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 11 - Properties of Triangles>EXERCISE>Q 25

MEDIUM

Mathematics

IMPORTANT

Earn 100

If $A, B, C$ are the angles of a triangle and $A$ be an obtuse angle, then

39.13% studentsanswered this correctly

Important Questions on Properties of Triangles

MEDIUM

Mathematics

IMPORTANT

TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 11 - Trigonometric Ratios and Identities>EXERCISE>Q 3

If a triangle

A B C, \cos^{2} A + \cos^{2} B + \cos^{2} C = 1

, then the triangle is always

MEDIUM

Mathematics

IMPORTANT

TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 11 - Properties of Triangles>EXERCISE>Q 26

In an equilateral triangle, in-radius

(r)

, circum-radius

(R)

and ex-radius

(r_{1})

are in

MEDIUM

Mathematics

IMPORTANT

TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 11 - Properties of Triangles>EXERCISE>Q 28

If in a

Δ A B C, a^{4} + b^{4} + c^{4} = 2 a^{2} b^{2} + b^{2} c^{2} + 2 c^{2} a^{2}

, then

\sin A

is equal to

HARD

Mathematics

IMPORTANT

TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 11 - Properties of Triangles>EXERCISE>Q 29

If the sine of the angles of a

∆ A B C

satisfy the equation

c^{3} x^{3} - c^{2} (a + b + c) x^{2} + λ x + μ = 0

(where

a, b, c

are the sides of

∆ A B C

, then

∆ A B C

is

HARD

Mathematics

IMPORTANT

TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 11 - Properties of Triangles>EXERCISE>Q 30

A triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of length

3, 4

and

5

units. Then area of the triangle is equal to:

HARD

Mathematics

IMPORTANT

TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 11 - Properties of Triangles>EXERCISE>Q 31

Given a triangle with sides

17, 15

and

19 cm

long. If a circle touching two smaller sides has its centre on the largest side, then the radius of the circle is

HARD

Mathematics

IMPORTANT

TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 11 - Properties of Triangles>EXERCISE>Q 32

If in a

∆ A B C

, the altitude

A M

be the bisector of

∠ B A D

, where

D

be the mid-point of side

B C

, then

(b^{2} - c^{2})

is equal to

MEDIUM

Mathematics

IMPORTANT

TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 11 - Properties of Triangles>EXERCISE>Q 33

Consider a triangle

A B C .

C C_{1}

and

B B_{1}

are the medians drawn through angular points

B

and

C

, respectively and

{}^{'}G^{'}

is the centroid of

Δ A B C .

If the points

A, C_{1}, G

and

B_{1}

are concyclic, then