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JEE 2020 Mathematics : Solution of Triangle - 02 (02.10.2019)

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Question 1

In a ΔABC, if a = 2x, b = 2y and ∠C = 120°, then the area of the triangle is

Question 2

In triangle ABC and DEF, AB = DE, AC = EF and ∠A = 2∠E. Two triangles will have the same area, if angle A is equal to

Question 3

If Δ = a² − (b − c)², where Δ is the area of triangle ABC, then tan A is equal to

Question 4

If in a triangle ABC side a = (√3 + 1) and ∠B=30^o, ∠C=45^o, then the area of the triangle is

Question 5

Let p, q, r be the altitudes of a triangle with area S and perimeter 2t. Then the value of

Question 6

If in a triangle ABC, (s – a)(s – b) = s(s – c), then angle C is equal to -

Question 7

The question has FOUR options. ONLY ONE of these four options is the correct answer.

A regular polygon of nine sides, each of length 2 unit, is inscribed in a circle. The radius of the circle is

Question 8

The question has FOUR options. ONLY ONE of these four options is the correct answer.

In a Δ ABC, right angled at B, the value of in-radius is

Question 9

The question has FOUR options. ONLY ONE of these four options is the correct answer.

In a

is altitude. A circle is drawn with AD as diameter which cuts side

and

at P and Q respectively. PQ is equal to

Question 10Multiple Correct Options

The question has FOUR options. ONE OR MORE THAN ONE of these four option(s) is(are) correct answer(s).

In a ΔABC, tanA and tanB satisfy the inequation

. Then

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