1
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
$\frac{25}{9}$
2
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
$x^2+2 x y-3 y^2=0$
3
AP EAPCET 2024 - 22th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The locus of a variable point which forms a triangle of fixed area with two fixed points is
A
a circle
B
a circle with fixed points as ends of a diameter
C
a pair of non-parallel lines
D
a pair of parallel lines
4
AP EAPCET 2024 - 22th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
$A$ line $L$ passing through the point $P(-5,-4)$ cuts the lines $x-y-5=0$ and $x+3 y+2=0$ respectively at $Q$ and $R$ such that $\frac{18}{P Q}+\frac{15}{P R}=2$, then slope of line $L$ is
A
$\pm 1$
B
$\pm \frac{1}{\sqrt{3}}$
C
$\pm \sqrt{3}$
D
$\pm \frac{2}{\sqrt{3}}$
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