1
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

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

A
5
B
6
C
4
D
3
2
AP EAPCET 2021 - 20th August Morning Shift
+1
-0

The locus of a point, which is at a distance of 4 units from $$(3,-2)$$ in $$x y$$-plane is

A
$$x^2+y^2+6 x-4 y+16=0$$
B
$$x^2+y^2-6 x-4 y+3=0$$
C
$$x^2+y^2-6 x+4 y-16=0$$
D
$$x^2+y^2-6 x+4 y-3=0$$
3
AP EAPCET 2021 - 20th August Morning Shift
+1
-0

Find the equation of the circle which passes through origin and cuts off the intercepts $$-$$2 and 3 over the $$X$$ and $$Y$$-axes respectively.

A
$$x^2+y^2-2 x+8 y=0$$
B
$$2\left(x^2+y^2\right)+2 x-3 y=0$$
C
$$x^2+y^2-2 x-8 y=0$$
D
$$x^2+y^2+2 x-3 y=0$$
4
AP EAPCET 2021 - 20th August Morning Shift
+1
-0

The angle between the pair of tangents drawn from $$(1,1)$$ to the circle $$x^2+y^2+4 x+4 y-1=0$$ is

A
$$\frac{\pi}{2}$$
B
$$\frac{\pi}{4}$$
C
$$\frac{\pi}{3}$$
D
$$\frac{\pi}{6}$$
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