1
AP EAPCET 2021 - 19th August Morning Shift
+1
-0

If $$2x+3y+4=0$$ is the perpendicular bisector of the line segment joining the points A(1, 2) and B($$\alpha,\beta$$), then the value of $$13\alpha+13\beta$$ equals

A
$$-81$$
B
$$-99$$
C
99
D
81
2
AP EAPCET 2021 - 19th August Morning Shift
+1
-0

The equation of the pair of straight lines perpendicular to the pair $$2 x^2+3 x y+2 y^2+10 x+5 y=0$$ and passing though the origin is

A
$$2 x^2+5 x y+2 y^2=0$$
B
$2 x^2-3 x y+2 y^2=0$$C$$2 x^2+3 x y+y^2=0$$D$$2 x^2-5 x y+2 y^2=0$$3 AP EAPCET 2021 - 19th August Morning Shift MCQ (Single Correct Answer) +1 -0 If the centroid of the triangle formed by the lines$$2 y^2+5 x y-3 x^2=0$$and$$x+y=k$$is$$\left(\frac{1}{18}, \frac{11}{18}\right)$$, then the value of$$k$$equals A$$-1$$B 0 C 1 D 2 4 AP EAPCET 2021 - 19th August Morning Shift MCQ (Single Correct Answer) +1 -0 If$$m_1$$and$$m_2,\left(m_1>m_2\right)$$are the slopes of the lines represented by$$5 x^2-8 x y+3 y^2=0$$, then$$m_1: m_2$\$ equals

A
5 : 1
B
2 : 1
C
5 : 3
D
3 : 2
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