1
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

The equations of the tangents to the circle $$x^2+y^2=4$$ drawn from the point $$(4,0)$$ are

A
$$y= \pm \frac{1}{\sqrt{3}}(x-4)$$
B
$$y= \pm \frac{2}{\sqrt{3}}(x-4)$$
C
$$x= \pm \frac{1}{\sqrt{3}}(y-4)$$
D
$$x= \pm \frac{2}{\sqrt{3}}(y-4)$$
2
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $$P(-9,-1)$$ is a point on the circle $$x^2+y^2+4 x+8 y-38=0$$, then find equation of the tangent drawn at the other end of the diameter drawn through $$P$$

A
$$7 x-3 y=60$$
B
$$7 x-3 y=56$$
C
$$7 x+3 y=56$$
D
$$7 x+3 y=60$$
3
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

Find the equation of a circle whose radius is 5 units and passes through two points on the $$X$$-axis, which are at a distance of 4 units from the origin

A
$$x^2+y^2-6 x-25=0$$
B
$$x^2+y^2-6 y-25=0$$
C
$$x^2+y^2+6 y-16=0$$
D
$$x^2+y^2+6 x-16=0$$
4
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

If a foot of the normal from the point $$(4,3)$$ to a circle is $$(2,1)$$ and $$2 x-y-2=0$$, is a diameter of the circle, then the equation of circle is

A
$$x^2+y^2+2 x+1=0$$
B
$$x^2+y^2+2 x-1=0$$
C
$$x^2+y^2-2 x-1=0$$
D
$$2\left(x^2+y^2\right)-2 x-1=0$$
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