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

Suppose $$P$$ and $$Q$$ are the mid-points of the sides $$A B$$ and $$B C$$ of a triangle where $$A(1,3), B(3,7)$$ and $$C(7,15)$$ are vertices. Then, the locus of $$R$$ satisfying $$A C^2+Q R^2=P R^2$$ is

A
$$6 x+12 y=297$$
B
$$6 x+12 y+297=0$$
C
$$12 x+6 y=297$$
D
$$12 x+6 y+297=0$$
2
AP EAPCET 2022 - 4th July Evening Shift
+1
-0

If the points of intersection of the coordinate axes and $$|x+y|=2$$ form a rhombus, then its area is

A
8
B
16
C
2
D
4
3
AP EAPCET 2022 - 4th July Evening Shift
+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
$$2 x+y=0$$
4
AP EAPCET 2022 - 4th July Evening Shift
+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
$$a=-12, b=4$$
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