1

IIT-JEE 2006

MCQ (More than One Correct Answer)
In $$\Delta ABC$$, internal angle bisector of $$\angle A$$ meets side $$BC$$ in $$D$$. $$DE \bot AD$$ meets $$AC$$ in $$E$$ and $$AB$$ in $$F$$. Then
A
$$AE$$ is $$HM$$ of $$b$$ and $$c$$
B
$$AD$$ $$ = {{2bc} \over {b + c}}\cos {A \over 2}$$
C
$$EF$$ $$ = {{4bc} \over {b + c}}\sin {A \over 2}$$
D
$$\Delta AEF$$ is isosceles
2

IIT-JEE 1987

MCQ (More than One Correct Answer)
In a triangle, the lengths of the two larger sides are $$10$$ and $$9$$, respectively. If the angles are in $$AP$$. Then the length of the third side can be
A
$$5 - \sqrt 6 $$
B
$$3\sqrt 3 $$
C
$$5$$
D
$$5 + \sqrt 6 $$
3

IIT-JEE 1986

MCQ (More than One Correct Answer)
There exists a triangle $$ABC$$ satisfying the conditions
A
$$b\sin A = a,A < \pi /2$$
B
$$b\sin A > a,A > \pi /2$$
C
$$b\sin A > a,A < \pi /2$$
D
$$b\sin A < a,A < \pi /2,b > a$$

Joint Entrance Examination

JEE Main JEE Advanced WB JEE

Graduate Aptitude Test in Engineering

GATE CSE GATE ECE GATE EE GATE ME GATE CE GATE PI GATE IN

Medical

NEET

CBSE

Class 12