1
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The radical centre of the three circles $$x^2+y^2-1=0, x^2+y^2-8 x+15=0$$ and $$x^2+y^2+10 y+24=0$$ is

A
$$\left(2, \frac{-5}{2}\right)$$
B
$$\left(2, \frac{5}{2}\right)$$
C
$$\left(-2, \frac{5}{2}\right)$$
D
$$\left(-2, \frac{-5}{2}\right)$$
2
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

For any real number $$t$$, the point $$\left(\frac{8 t}{1+t^2}, \frac{4\left(1-t^2\right)}{1+t^2}\right)$$ lies on a / an

A
circle of radius 2
B
circle of radius 4
C
ellipse with 4 as its major axis length
D
ellipse with 4 as its minor axis length
3
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

The area of the circle passing through the points $$(5, \pm 2),(1,2)$$ is

A
$$8 \pi$$
B
$$4 \pi$$
C
$$2 \pi$$
D
$$16 \pi$$
4
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

The ratio of the largest and shortest distances from the point $$(2,-7)$$ to the circle $$x^2+y^2-14 x-10 y-151=0$$ is

A
$$15: 13$$
B
$$7: 1$$
C
$$3: 2$$
D
$$14: 1$$
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