This chapter is currently out of syllabus
1
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.
2
JEE Main 2021 (Online) 20th July Morning Shift
+4
-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 :
A
$$10 + 6\sqrt 2$$
B
$$8 + 2\sqrt 2$$
C
$$6 + 8\sqrt 3$$
D
$$4 + 2\sqrt 3$$
3
JEE Main 2021 (Online) 26th February Evening Shift
+4
-1
Out of Syllabus
The triangle of maximum area that can be inscribed in a given circle of radius 'r' is :
A
An equilateral triangle having each of its side of length $$\sqrt 3$$r.
B
An equilateral triangle of height $${{2r} \over 3}$$.
C
A right angle triangle having two of its sides of length 2r and r.
D
An isosceles triangle with base equal to 2r.
4
JEE Main 2021 (Online) 24th February Evening Shift
+4
-1
Out of Syllabus
Let a, b, c be in arithmetic progression. Let the centroid of the triangle with vertices (a, c), (2, b) and (a, b) be $$\left( {{{10} \over 3},{7 \over 3}} \right)$$. If $$\alpha$$, $$\beta$$ are the roots of the equation $$a{x^2} + bx + 1 = 0$$, then the value of $${\alpha ^2} + {\beta ^2} - \alpha \beta$$ is :
A
$${{69} \over {256}}$$
B
$${{71} \over {256}}$$
C
$$- {{71} \over {256}}$$
D
$$- {{69} \over {256}}$$
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