Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 6 - Solutions and Properties of Triangle>DPP>Q 17

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IMPORTANT

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In $∆ A B C, A B = 9, A C = 17.5$ and altitude from $A$ to line $B C$ cut at $M, A M = 3 .$ Then:

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Important Questions on Solutions and Properties of Triangle

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JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 6 - Solutions and Properties of Triangle>DPP>Q 18

If in a triangle

A B C, θ

is the angle determined by

\cos θ = \frac{(a - b)}{c}

, then:

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Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 6 - Solutions and Properties of Triangle>DPP>Q 1

In

∆ A B C

, if

\tan \frac{A}{2} \tan \frac{B}{2} + \tan \frac{B}{2} \tan \frac{C}{2} = \frac{2}{3}

, then

a + c

is equal to

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Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 6 - Solutions and Properties of Triangle>DPP>Q 2

In a triangle

A B C

, if

\tan \frac{A}{2} \cdot \tan \frac{B}{2} = \frac{1}{3}

and

a b = 4

, then the value of

c

can be

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Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 6 - Solutions and Properties of Triangle>DPP>Q 3

In a triangle

A B C

, if

\cot \frac{A}{2} \cot \frac{B}{2} = c, \cot \frac{B}{2} \cot \frac{C}{2} = a

and

\cot \frac{C}{2} \cot \frac{A}{2} = b

, then

\frac{1}{s - a} + \frac{1}{s - b} + \frac{1}{s - c} =

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Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 6 - Solutions and Properties of Triangle>DPP>Q 4

The perimeter of a triangle

A B C

right angled at

C

is

70

units and the inradius is

6

units, then

| a - b | =

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Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 6 - Solutions and Properties of Triangle>DPP>Q 5

The diagonals of a parallelogram are inclined to each other at an angle of

45 °

while its sides

a

and

b

(a > b)

are inclined to each other at an angle of

30 °

, then the value of

\frac{a}{b}

is

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JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 6 - Solutions and Properties of Triangle>DPP>Q 6

In a triangle

A B C

, if

2 ∆^{2} = \frac{a^{2} b^{2} c^{2}}{a^{2} + b^{2} + c^{2}}

, then it is

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JEE Main

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Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 6 - Solutions and Properties of Triangle>DPP>Q 7

If in any triangle

A B C

, with usual notations, the area of the triangle

∆ \leq \frac{b^{2} + c^{2}}{λ},

then the largest possible numerical value of

λ

is: