1

JEE Main 2023 (Online) 30th January Evening Shift

Numerical

+4

-1

Let $P\left(a_1, b_1\right)$ and $Q\left(a_2, b_2\right)$ be two distinct points on a circle with center $C(\sqrt{2}, \sqrt{3})$. Let $\mathrm{O}$ be the origin and $\mathrm{OC}$ be perpendicular to both $\mathrm{CP}$ and $\mathrm{CQ}$. If the area of the triangle $\mathrm{OCP}$ is $\frac{\sqrt{35}}{2}$, then $a_1^2+a_2^2+b_1^2+b_2^2$ is equal to :

Your input ____

2

JEE Main 2023 (Online) 29th January Evening Shift

Numerical

+4

-1

A circle with centre (2, 3) and radius 4 intersects the line $$x+y=3$$ at the points P and Q. If the tangents at P and Q intersect at the point $$S(\alpha,\beta)$$, then $$4\alpha-7\beta$$ is equal to ___________.

Your input ____

3

JEE Main 2023 (Online) 25th January Evening Shift

Numerical

+4

-1

Points P($$-$$3, 2), Q(9, 10) and R($$\alpha,4$$) lie on a circle C and PR as its diameter. The tangents to C at the points Q and R intersect at the point S. If S lies on the line $$2x-ky=1$$, then k is equal to ____________.

Your input ____

4

JEE Main 2022 (Online) 29th July Evening Shift

Numerical

+4

-1

Let $$A B$$ be a chord of length 12 of the circle $$(x-2)^{2}+(y+1)^{2}=\frac{169}{4}$$. If tangents drawn to the circle at points $$A$$ and $$B$$ intersect at the point $$P$$, then five times the distance of point $$P$$ from chord $$A B$$ is equal to __________.

Your input ____

Questions Asked from Circle (Numerical)

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JEE Main 2023 (Online) 30th January Evening Shift (1)
JEE Main 2023 (Online) 29th January Evening Shift (1)
JEE Main 2023 (Online) 25th January Evening Shift (1)
JEE Main 2022 (Online) 29th July Evening Shift (2)
JEE Main 2022 (Online) 29th July Morning Shift (1)
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