1

JEE Main 2021 (Online) 27th August Evening Shift

Numerical

+4

-1

Two circles each of radius 5 units touch each other at the point (1, 2). If the equation of their common tangent is 4x + 3y = 10, and C

_{1}($$\alpha$$, $$\beta$$) and C_{2}($$\gamma$$, $$\delta$$), C_{1}$$\ne$$ C_{2}are their centres, then |($$\alpha$$ + $$\beta$$) ($$\gamma$$ + $$\delta$$)| is equal to ___________.Your input ____

2

JEE Main 2021 (Online) 27th August Morning Shift

Numerical

+4

-1

Let the equation x

^{2}+ y^{2}+ px + (1 $$-$$ p)y + 5 = 0 represent circles of varying radius r $$\in$$ (0, 5]. Then the number of elements in the set S = {q : q = p^{2}and q is an integer} is __________.Your input ____

3

JEE Main 2021 (Online) 26th August Morning Shift

Numerical

+4

-1

The locus of a point, which moves such that the sum of squares of its distances from the points (0, 0), (1, 0), (0, 1), (1, 1) is 18 units, is a circle of diameter d. Then d

^{2}is equal to _____________.Your input ____

4

JEE Main 2021 (Online) 17th March Morning Shift

Numerical

+4

-1

The minimum distance between any two points P

x

x

_{1}and P_{2}while considering point P_{1}on one circle and point P_{2}on the other circle for the given circles' equationsx

^{2}+ y^{2}$$-$$ 10x $$-$$ 10y + 41 = 0x

^{2}+ y^{2}$$-$$ 24x $$-$$ 10y + 160 = 0 is ___________.Your input ____

Questions Asked from Circle (Numerical)

Number in Brackets after Paper Indicates No. of Questions

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