1
AP EAPCET 2025 - 24th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the pair of lines $a x^2-7 x y-3 y^2=0$ and $2 x^2+x y-6 y^2=0$ have exactly one line in common and ' $a$ ' is an integer, then the equation of the pair of bisectors of the angles between the lines $a x^2-7 x y-3 y^2=0$ is

A

$7 x^2+18 x y-7 y^2=0$

B

$x^2-16 x y-y^2=0$

C

$7 x^2-9 x y-7 y^2=0$

D

$x^2-8 x y-y^2=0$

2
AP EAPCET 2025 - 24th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the angle between the pair of lines $2 x^2+2 h x y+2 y^2-x+y-1=0$ is $\tan ^{-1}\left(\frac{3}{4}\right)$ and $h$ is a positive rational number, then the point of intersection of these two lines is

A

$(1,-1)$

B

$\left(\frac{-1}{9}, \frac{1}{9}\right)$

C

$(-1,1)$

D

$(3,2)$

3
AP EAPCET 2025 - 23rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If the locus of a point which is equidistant from the coordinate axes forms a triangle with the line $y=3$, then the area of the triangle is
A

18

B

9

C

6

D

3

4
AP EAPCET 2025 - 23rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0
$A(-2,3)$ is a point on the line $4 x+3 y-1=0$. If the points on the line that are 10 units away from the point $A$ are ( $x_1, y_1$ ) and ( $x_2, y_2$ ), then $\left(x_1+y_1\right)^2+\left(x_2+y_2\right)^2=$
A

10

B

90

C

180

D

405

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