1

JEE Main 2021 (Online) 17th March Evening Shift

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

Two tangents are drawn from a point P to the circle x

^{2}+ y^{2}$$-$$ 2x $$-$$ 4y + 4 = 0, such that the angle between these tangents is $${\tan ^{ - 1}}\left( {{{12} \over 5}} \right)$$, where $${\tan ^{ - 1}}\left( {{{12} \over 5}} \right)$$ $$\in$$(0, $$\pi$$). If the centre of the circle is denoted by C and these tangents touch the circle at points A and B, then the ratio of the areas of $$\Delta$$PAB and $$\Delta$$CAB is :2

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 :

3

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 = 04

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 :Questions Asked from Circle (MCQ (Single Correct Answer))

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