1

JEE Main 2021 (Online) 17th March Morning Shift

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

The line 2x $$-$$ y + 1 = 0 is a tangent to the circle at the point (2, 5) and the centre of the circle lies on x $$-$$ 2y = 4. Then, the radius of the circle is :

2

JEE Main 2021 (Online) 17th March Morning Shift

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

Choose the incorrect statement about the two circles whose equations are given below :

x

x

x

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

^{2}+ y^{2}$$-$$ 16x $$-$$ 10y + 80 = 03

JEE Main 2021 (Online) 16th March Evening Shift

MCQ (Single Correct Answer)

+4

-1

Let the lengths of intercepts on x-axis and y-axis made by the circle

x

x

^{2}+ y^{2}+ ax + 2ay + c = 0, (a < 0) be 2$${\sqrt 2 }$$ and 2$${\sqrt 5 }$$, respectively. Then the shortest distance from origin to a tangent to this circle which is perpendicular to the line x + 2y = 0, is equal to :4

JEE Main 2021 (Online) 26th February Evening Shift

MCQ (Single Correct Answer)

+4

-1

Let A(1, 4) and B(1, $$-$$5) be two points. Let P be a point on the circle

(x $$-$$ 1)

(x $$-$$ 1)

^{2}+ (y $$-$$ 1)^{2}= 1 such that (PA)^{2}+ (PB)^{2}have maximum value, then the points, P, A and B lie on :Questions Asked from Circle (MCQ (Single Correct Answer))

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