1
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If the straight line passing through $P(3,4)$ makes an angle $\frac{\pi}{6}$ with the positive $X$-axis in anti-clockwise direction and meets the line $12 x+5 y+10=0$ at $Q$, then the length of the segment $P Q$ is
A
$\frac{64}{12 \sqrt{2}+1}$
B
$\frac{96}{9 \sqrt{2}-1}$
C
$\frac{112}{10 \sqrt{3}+3}$
D
$\frac{132}{12 \sqrt{3}+5}$
2
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The equation of the perpendicular bisectors of the sides $A B$ and $A C$ of $\triangle A B C$ are $x-y+5=0$ and $x+2 y=0$ respectively, If the coordinates of $A$ are $(1,-2)$, then the equal of the line $B C$ is
A
$14 x+23 y-40=0$
B
$13 x-9 y-14=0$
C
$9 x-14 y-25=0$
D
$8 x+15 y-30=0$
3
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
A pair of lines drawn through the origin forms a right angled isosceles triangle with right angle at the origin with the line $2 x+3 y=6$. The area (in sq units) of the triangle thus formed is
A
$\frac{36}{13}$
B
$\frac{32}{13}$
C
$\frac{18}{5}$
D
$\frac{25}{9}$
4
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The combined equation of the bisectors of the angles between the lines joining the origin to the points of intersection of the curve $x^2+y^2+x y+x+3 y+1=0$ and the line $x+y+2=0$ is
A
$x^2+4 x y-y^2=0$
B
$x^2-4 x y+y^2=0$
C
$2 x^2-3 x y+y^2=0$
D
$x^2+2 x y-3 y^2=0$
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