1

JEE Advanced 2023 Paper 2 Online

Numerical

+3

-0

Consider an obtuse angled triangle $A B C$ in which the difference between the largest and the smallest angle is $\frac{\pi}{2}$ and whose sides are in arithmetic progression. Suppose that the vertices of this triangle lie on a circle of radius 1.

$$
\text { Let } a \text { be the area of the triangle } A B C \text {. Then the value of }(64 a)^2 \text { is }
$$ :

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2

JEE Advanced 2023 Paper 2 Online

Numerical

+3

-0

Consider an obtuse angled triangle $A B C$ in which the difference between the largest and the smallest angle is $\frac{\pi}{2}$ and whose sides are in arithmetic progression. Suppose that the vertices of this triangle lie on a circle of radius 1.

$$
\text { Then the inradius of the triangle } A B C \text { is }
$$ :

Your input ____

3

JEE Advanced 2022 Paper 1 Online

Numerical

+3

-0

Let $$A B C$$ be the triangle with $$A B=1, A C=3$$ and $$\angle B A C=\frac{\pi}{2}$$. If a circle of radius $$r>0$$ touches the sides $$A B, A C$$ and also touches internally the circumcircle of the triangle $$A B C$$, then the value of $$r$$ is __________ .

Your input ____

4

JEE Advanced 2021 Paper 2 Online

Numerical

+2

-0

Consider the region R = {(x, y) $$\in$$ R $$\times$$ R : x $$\ge$$ 0 and y

The radius of the circle C is ___________.

^{2}$$\le$$ 4 $$-$$ x}. Let F be the family of all circles that are contained in R and have centers on the x-axis. Let C be the circle that has largest radius among the circles in F. Let ($$\alpha$$, $$\beta$$) be a point where the circle C meets the curve y^{2}= 4 $$-$$ x.The radius of the circle C is ___________.

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Questions Asked from Circle (Numerical)

Number in Brackets after Paper Indicates No. of Questions

JEE Advanced Subjects

Physics

Mechanics

Units & Measurements
Motion
Laws of Motion
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Impulse & Momentum
Rotational Motion
Properties of Matter
Heat and Thermodynamics
Simple Harmonic Motion
Waves
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Optics

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Some Basic Concepts of Chemistry
Structure of Atom
Redox Reactions
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