1
TG EAPCET 2024 (Online) 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If the ratio of the distances of a variable point $P$ from the point $(1,1)$ and the line $x-y+2=0$ is $1: \sqrt{2}$, then the equation of the locus of $P$ is
A
$x^2+2 x y+y^2-8 x=0$
B
$3 x^2+2 x y+3 y^2-12 x-4 y+4=0$.
C
$x^2+2 x y+y^2-12 x+4 y+4=0$
D
$x^2+2 x y+y^2-8 x+8 y=0$
2
TG EAPCET 2024 (Online) 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If the origin is shifted to the point $\left(\frac{3}{2},-2\right)$ by the translation of axes, then the transformed equation of $2 x^2+4 x y+y^2+2 x-2 y+1=0$ is
A
$4 x^2+8 x y+2 y^2-16=0$
B
$2 x^2-4 x y+y^2=0$
C
$4 x^2+8 x y+2 y^2+9=0$
D
$2 x^2-4 x y+y^2+16=0$
3
TG EAPCET 2024 (Online) 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
$L \equiv x \cos \alpha+y \sin \alpha-p=0$ represents a line perpendicular to the line $x+y+1=0$. If $p$ is positive, $\alpha$ lies in the fourth quadrant and perpendicular distance from $(\sqrt{2}, \sqrt{2})$ to the line, $L=0$ is 5 units, then $p=$
A
5
B
$\frac{5}{2}$
C
10
D
$\frac{15}{2}$
4
TG EAPCET 2024 (Online) 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
$(-2,-1),(2,5)$ are two vertices of a triangle and $\left(2, \frac{5}{3}\right)$ is its orthocenter. If $(m, n)$ is the third vertex of that triangle, then $m+n$ is equal to.
A
-4
B
-2
C
5
D
8
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