1
VITEEE 2022
MCQ (Single Correct Answer)
+1
-0

If the tangent at point $$P$$ on the circle $$x^2+y^2+6 x+6 y-2=0$$ meets the straight line $$5 x-2 y+6=0$$ at a point $$Q$$ on $$Y$$-axis, the length of $$P Q$$ is

A
4
B
$$2 \sqrt{5}$$
C
5
D
$$3 \sqrt{5}$$
2
VITEEE 2022
MCQ (Single Correct Answer)
+1
-0

If a circle of constant radius '$$r$$' passes through the origin and meets the coordinate axes at points $$A$$ and $$B$$ respectively, then the locus of the centroid of triangle $$O A B$$, '$$O$$' being the origin, is

A
$$x^2+y^2=\frac{4}{9} r^2$$
B
$$x^2+y^2=\frac{9}{4} r^2$$
C
$$x^2+y^2=\frac{2}{3} r^2$$
D
$$x^2+y^2=\frac{3}{2} r^2$$
3
VITEEE 2022
MCQ (Single Correct Answer)
+1
-0

The image of the centre of the circle $$x^2+y^2=a^2$$ with respect to the mirror $$x+y=1$$ is

A
$$\left(\frac{1}{\sqrt{2}}, \sqrt{2}\right)$$
B
$$(\sqrt{2}, \sqrt{2})$$
C
$$(\sqrt{2,2} \sqrt{2})$$
D
$$(-\sqrt{2}, 2)$$
E
None of these
4
VITEEE 2021
MCQ (Single Correct Answer)
+1
-0

The radius of the circle $$(x \cos \theta+y \sin \theta-a)^2+(x \sin \theta-y \cos \theta-b)^2=k^2$$ is

A
$$a^2+b^2-k^2$$
B
$$a \sin \theta-b \cos \theta$$
C
$$a^2+b^2$$
D
$$k$$
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