1

JEE Main 2021 (Online) 16th March Evening Shift

Numerical

+4

-1

In $$\Delta$$ABC, the lengths of sides AC and AB are 12 cm and 5 cm, respectively. If the area of $$\Delta$$ABC is 30 cm

^{2}and R and r are respectively the radii of circumcircle and incircle of $$\Delta$$ABC, then the value of 2R + r (in cm) is equal to ___________.Your input ____

2

JEE Main 2021 (Online) 16th March Morning Shift

Numerical

+4

-1

Let ABCD be a square of side of unit length. Let a circle C

_{1}centered at A with unit radius is drawn. Another circle C_{2}which touches C_{1}and the lines AD and AB are tangent to it, is also drawn. Let a tangent line from the point C to the circle C_{2}meet the side AB at E. If the length of EB is $$\alpha$$ + $${\sqrt 3 }$$ $$\beta$$, where $$\alpha$$, $$\beta$$ are integers, then $$\alpha$$ + $$\beta$$ is equal to ____________.Your input ____

3

JEE Main 2020 (Online) 6th September Morning Slot

Numerical

+4

-0

The angle of elevation of the top of a hill from a point on the horizontal plane passing through the
foot of the hill is found to be 45

^{o}. After walking a distance of 80 meters towards the top, up a slope inclined at an angle of 30^{o}to the horizontal plane, the angle of elevation of the top of the hill becomes 75^{o}. Then the height of the hill (in meters) is ______.Your input ____

Questions Asked from Properties of Triangle (Numerical)

Number in Brackets after Paper Indicates No. of Questions