1
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.
2
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
3
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
$$\left(\frac{c}{b}, \frac{c}{a}\right)$$
4
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
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