1
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The length of intercept of $$x+1=0$$ between the lines $$3 x+2 y=5$$ and $$3 x+2 y=3$$ is

A
2
B
1
C
3
D
4
2
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

Suppose the slopes $$m_1$$ and $$m_2$$ of the lines represented by $$a x^2+2 h x y+b y^2=0$$ satisfy $$3\left(m_1-m_2\right)-7=0$$ and $$m_1 m_2-2=0$$. Then, which of the following is true?

A
$$\frac{a}{12}=\frac{b}{6}=\frac{h}{ \pm 11}$$
B
$$\frac{a}{6}=\frac{b}{12}=\frac{h}{ \pm 11}$$
C
$$a=b= \pm h$$
D
$$\frac{a}{2}=b= \pm h$$
3
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

Suppose that the sides passing through the vertex $$(\alpha, \beta)$$ of a triangle are bisected at right angles by the lines $$y^2-8 x y-9 x^2=0$$. Then, the centroid of the triangle is

A
$$\frac{1}{123}(\alpha, \beta)$$
B
$$\frac{1}{123}(\alpha+32 \beta, 81 \beta+32 \alpha)$$
C
$$\frac{1}{123}(\alpha-32 \beta, 81 \beta+32 \alpha)$$
D
$$\frac{1}{123}(\alpha-32 \beta, 81 \beta-32 \alpha)$$
4
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+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
$$12 x+6 y+297=0$$
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