1
AP EAPCET 2025 - 26th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the equation of the pair of straight lines intersecting at ( $a, b$ ) and perpendicular to the pair of lines $3 x^2-4 x y+5 y^2=0$ is $l x^2+2 n x y+m y^2-32 x-26 y+c=0$, then $\frac{a+b+c}{l+h+m}=$

A

$\frac{38}{5}$

B

$\frac{17}{2}$

C

$\frac{15}{6}$

D

$\frac{49}{6}$

2
AP EAPCET 2025 - 26th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$P Q R$ is a right-angled isosceles triangle with right angle at $P(2,1)$. If the equation of the line $Q R$ is $2 x+y=3$, then the equation representing the pair of lines $P Q$ and $P R$ is

A

$3 x^2-3 y^2-8 x y-10 x-15 y-20=0$

B

$3 x^2-3 y^2+8 x y+20 x+10 y+25=0$

C

$3 x^2-3 y^2+8 x y-20 x-10 y+25=0$

D

$3 x^2-3 y^2+8 x y+10 x+15 y+20=0$

3
AP EAPCET 2025 - 27th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The coordinate axes are rotated about the origin in the counter clockwise direction through an angle $60^{\circ}$. If a and $b$ are the intercepts made on the new axes by a straight line whose equation referred to the original axes is $x+y=1$, then $\frac{1}{a^2}+\frac{1}{b^2}=$

A

2

B

3

C

4

D

6

4
AP EAPCET 2025 - 27th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The image of a point $(2,-1)$ with respect to the line $x-y+1=0$ is

A

$(2,-3)$

B

$(-2,3)$

C

$(0,1)$

D

$(-1,0)$

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