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

The locus of centers of the circles, possessing the same area and having $$3 x-4 y+4=0$$ and $$6 x-8 y-7=0$$ as their common tangent, is

A
$$12 x-16 y-15=0$$
B
$$3 x-4 y+\frac{11}{2}=0$$
C
$$12 x-16 y+15=0$$
D
$$3 x-4 y-\frac{11}{2}=0$$
2
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

For any two non-zero real numbers $$a$$ and $$b$$ if this line $$\frac{x}{a}+\frac{y}{b}=1$$ is a tangent to the circle $$x^2+y^2=1$$, then which of the following is true?

A
$$\left(\frac{1}{a}, \frac{1}{b}\right)$$ lies inside the circle
B
$$(a, b)$$ lies inside the circle
C
$$\left(\frac{1}{a}, \frac{1}{b}\right)$$ lies on the circle
D
$$(a, b)$$ lies on the circle.
3
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

The length of the intercept on the line $$4 x-3 y-10=0$$ by the circle $$x^2+y^2-2 x+4 y-20=0$$ is

A
5
B
2
C
10
D
6
4
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

The pole of the line $$\frac{x}{a}+\frac{y}{b}=1$$ with respect to the circle $$x^2+y^2=c^2$$ is

A
$$\left(\frac{c^2}{a}, \frac{c^2}{b}\right)$$
B
$$\left(\frac{c^2}{b}, \frac{c^2}{a}\right)$$
C
$$\left(\frac{c}{a}, \frac{c}{b}\right)$$
D
$$\left(\frac{c}{b}, \frac{c}{a}\right)$$
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