1
AP EAPCET 2025 - 21st May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$P(6,4)$ is a point on the line $x-y-2=0$. If $A(\alpha, \beta)$ and $B(\gamma, \delta)$ are two points on this line lying on either side of $P$ at a distance of 4 units from $P$, then $\alpha^2+\beta^2+\gamma^2+\delta^2=$

A

136

B

$\frac{85}{\sqrt{2}}$

C

$23+\frac{5}{\sqrt{2}}$

D

52

2
AP EAPCET 2025 - 21st May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the straight line $2 x+3 y+1=0$ bisects the angle between two other straight lines one of which is $3 x+2 y+4=0$, then the equation of the other straight line is

A

$3 x+16 y-7=0$

B

$9 x+46 y-28=0$

C

$9 x-23 y-26=0$

D

$18 x-23 y+15=0$

3
AP EAPCET 2025 - 21st May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the slope of both the line given by $x^2+2 h x y+6 y^2=0$ are options and the angle between these lines is $\tan ^{-1}\left(\frac{1}{7}\right)$, then the product of the perpendiculars draw from the point $(1,0)$ to the given pair of lines is

A

$\frac{1}{6}$

B

$\frac{1}{5 \sqrt{2}}$

C

$\frac{5}{6}$

D

$\frac{1}{3 \sqrt{2}}$

4
AP EAPCET 2025 - 21st May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If one of the lines represented by $a x^2+2 h x y+b y^2=0$ bisects the angle between the positive coordinates axes, then

A

$a+b=2 h$

B

$a-b=2 h$

C

$a+2 h+b=0$

D

$a+2 h-b=0$

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