1
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

Suppose, in $$\triangle A B C, x-y+5=0, x+2 y=0$$ are respectively the equations of the perpendicular bisectors of the sides $$A B$$ and $$A C$$. If $$A$$ is $$(1,-2)$$, the equation of the line joining $$B$$ and $$C$$ is

A
$$6 x+7 y=0$$
B
$$14 x+23 y-40=0$$
C
$$2 x-11 y=0$$
D
$$2 x+y=0$$
2
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

If the pair of straight lines $$9 x^2+a x y+4 y^2+6 x+b y-3=0$$ represents two parallel lines, then

A
$$a=6, b=2$$
B
$$a=12, b=4$$
C
$$a=3, b=1$$
D
$$a=-12, b=4$$
3
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

A line passing through $$P(2,3)$$ and making an angle of $$30^{\circ}$$ with the positive direction of $$X$$-axis meets $$x^2-2 x y-y^2=0$$ at $$A$$ and $$B$$. Then the value of $$P A: P B$$ is

A
$$17 \sqrt{3}+1$$
B
$$17(\sqrt{3}+1)$$
C
$$17(\sqrt{3}-1)$$
D
$$17 \sqrt{3}-1$$
4
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
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