This chapter is currently out of syllabus
1
JEE Main 2023 (Online) 30th January Morning Shift
+4
-1
Out of Syllabus

A straight line cuts off the intercepts $$\mathrm{OA}=\mathrm{a}$$ and $$\mathrm{OB}=\mathrm{b}$$ on the positive directions of $$x$$-axis and $$y$$ axis respectively. If the perpendicular from origin $$O$$ to this line makes an angle of $$\frac{\pi}{6}$$ with positive direction of $$y$$-axis and the area of $$\triangle \mathrm{OAB}$$ is $$\frac{98}{3} \sqrt{3}$$, then $$\mathrm{a}^{2}-\mathrm{b}^{2}$$ is equal to :

A
$$\frac{392}{3}$$
B
98
C
196
D
$$\frac{196}{3}$$
2
JEE Main 2022 (Online) 27th June Morning Shift
+4
-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 :

A
5
B
8
C
10
D
12
3
JEE Main 2022 (Online) 25th June Morning Shift
+4
-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 :

A
$${5 \over 2}$$
B
2
C
$${3 \over 2}$$
D
1
4
JEE Main 2021 (Online) 27th August Morning Shift
+4
-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 :
A
b2 $$-$$ a2 = a2 + c2
B
b2, c2, a2 are in A.P.
C
c2, a2, b2 are in A.P.
D
a2, b2, c2 are in A.P.
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