1
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+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
$$x^2+y^2+2 x-3 y=0$$
2
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+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
$$\frac{\pi}{6}$$
3
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the circle $$x^2+y^2-4 x-8 y-5=0$$ intersects the line $$3 x-4 y-m=0$$ in two distinct points, then the number of integral values of '$$m$$' is

A
52
B
51
C
50
D
49
4
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

Let $$C$$ be the circle center $$(0,0)$$ and radius 3 units. The equation of the locus of the mid-points of the chords of the circle $$c$$ that subtends an angle of $$\frac{2 \pi}{3}$$ at its centre is

A
$$x^2+y^2=\frac{1}{4}$$
B
$$x^2+y^2=\frac{27}{4}$$
C
$$x^2+y^2=\frac{9}{4}$$
D
$$x^2+y^2=\frac{5}{4}$$
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