1
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
$$\frac{a}{2}=b= \pm h$$
2
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
$$\frac{1}{123}(\alpha-32 \beta, 81 \beta-32 \alpha)$$
3
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
$$12 x+6 y+297=0$$
4
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+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
AP EAPCET Subjects
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12