MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 11 - Trigonometric Functions-II>Evaluation Test>Q 13

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The sides of a triangle are three consecutive natural numbers and its largest angle is twice the smallest one. Then, the sides of the triangle are

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Important Questions on Trigonometric Functions-II

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 11 - Trigonometric Functions-II>Evaluation Test>Q 14

The area of a circle is

A_{1}

and the area of a regular pentagon inscribed in the circle is

A_{2}

. Then the ratio of

\frac{A_{1}}{A_{2}}

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 11 - Trigonometric Functions-II>Evaluation Test>Q 15

In

Δ A B C

, the sides are in the ratio

4 : 5 : 6

. The ratio of circumradius and inradius is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 11 - Trigonometric Functions-II>Evaluation Test>Q 16

In

Δ A B C

, if

b = 2, c = \sqrt{3}, ∠ A = 30 °

, then in-radius of

Δ A B C

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 11 - Trigonometric Functions-II>Evaluation Test>Q 17

If in

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

, then

∠ A

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 11 - Trigonometric Functions-II>Evaluation Test>Q 18

In a

Δ A B C, B = \frac{π}{8}

and

C = \frac{5 π}{8}

. The altitude from

A

to the side

B C

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 11 - Trigonometric Functions-II>Evaluation Test>Q 19

If

\tan \frac{A}{2}

and

\tan \frac{B}{2}

are the roots of the quadratic equation

6 x^{2} - 5 x + 1 = 0

, then

Δ A B C

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 11 - Trigonometric Functions-II>Evaluation Test>Q 20

Let

A B C

be a right-angled triangle at

∠ B = 90 °

. Then, the diameter of the incircle of the triangle is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 11 - Trigonometric Functions-II>Evaluation Test>Q 21

In a

Δ A B C, ∠ A = 55 °, ∠ B = 15 °, ∠ C = 110 °

, then

c^{2} - a^{2}

is equal to