1
AP EAPCET 2025 - 23rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The triangle formed by the lines $2 x^2+x y-6 y^2=0$ and $x+y-1=0$ is

A

equilateral

B

right angled

C

isosceles

D

scalene

2
AP EAPCET 2025 - 23rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $\left(\frac{2}{3}, 0\right)$ is the centroid of the triangle formed by the lines $4 x^2-y^2=0$ and $l x+m y+n=0$, then, $l+m+n=$
A

1

B

-1

C

0

D

2

3
AP EAPCET 2025 - 23rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

From a point $P(-4,0)$, two tangents are drawn to the circle $x^2+y^2-4 x-6 y-12=0$ touching the circle at $A$ and $B$. If the equation of the circle passing through $P, A$ and $B$ is $x^2+y^2+2 g x+2 f y+c=0$, then $(g, f)=$

A

$\left(-1, \frac{3}{2}\right)$

B

$\left(\frac{3}{2},-1\right)$

C

$\left(\frac{1}{2}, \frac{-3}{2}\right)$

D

$\left(1, \frac{-3}{2}\right)$

4
AP EAPCET 2025 - 23rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the equation of the polar of the point $(\alpha,-1)$ with respect to the circle $x^2+y^2-4 x-6 y-12=0$ is $y=\beta$, then $4(\alpha+\beta)=$

A

-5

B

7

C

-6

D

0