JEE Main 2022 (Online) 27th June Morning Shift | Properties of Triangle Question 10 | Mathematics

This chapter is currently out of syllabus

JEE Main 2022 (Online) 27th June Morning Shift

MCQ (Single Correct Answer)

-1

Out of Syllabus

The lengths of the sides of a triangle are 10 + x², 10 + x² and 20 $$-$$ 2x². If for x = k, the area of the triangle is maximum, then 3k² is equal to :

JEE Main 2022 (Online) 25th June Morning Shift

MCQ (Single Correct Answer)

-1

Out of Syllabus

Let a, b and c be the length of sides of a triangle ABC such that $${{a + b} \over 7} = {{b + c} \over 8} = {{c + a} \over 9}$$. If r and R are the radius of incircle and radius of circumcircle of the triangle ABC, respectively, then the value of $${R \over r}$$ is equal to :

$${5 \over 2}$$

$${3 \over 2}$$

JEE Main 2021 (Online) 27th August Morning Shift

MCQ (Single Correct Answer)

-1

Out of Syllabus

Let $${{\sin A} \over {\sin B}} = {{\sin (A - C)} \over {\sin (C - B)}}$$, where A, B, C are angles of triangle ABC. If the lengths of the sides opposite these angles are a, b, c respectively, then :

b² $$-$$ a² = a² + c²

b², c², a² are in A.P.

c², a², b² are in A.P.

a², b², c² are in A.P.

JEE Main 2021 (Online) 20th July Morning Shift

MCQ (Single Correct Answer)

-1

Out of Syllabus

If in a triangle ABC, AB = 5 units, $$\angle B = {\cos ^{ - 1}}\left( {{3 \over 5}} \right)$$ and radius of circumcircle of $$\Delta$$ABC is 5 units, then the area (in sq. units) of $$\Delta$$ABC is :

$$10 + 6\sqrt 2 $$

$$8 + 2\sqrt 2 $$

$$6 + 8\sqrt 3 $$

$$4 + 2\sqrt 3 $$

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