1
AP EAPCET 2025 - 22nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $X$ follows poisson distribution with variance 2 , then $P(X \geq 3)=$

A

$\frac{5}{e^2}$

B

$\frac{e^2-5}{e^2}$

C

$5+\frac{2}{e^2}$

D

$\frac{5-e^2}{4}$

2
AP EAPCET 2025 - 22nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A straight line passing through a fixed point $(2,3)$ intersects the coordinate axes at points $P$ and $Q$. If $O$ is the origin and $R$ is a variable point such that $O P R Q$ is a rectangle, then the locus of $R$ is

A

$3 x+2 y=x y$

B

$2 x+3 y=x y$

C

$3 x+2 y=6$

D

$3 x+2 y=6 x y$

3
AP EAPCET 2025 - 22nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

By rotating the axes about the origin in anti-clockwise direction with certain angle, if the equation $x^2+4 x y+y^2=1$ is transformed to $\frac{x^2}{a^2}-\frac{y^2}{b^2}=l$, then $\sqrt{\frac{a^2+b^2}{a^2}}=$

A

2

B

$\frac{\sqrt{13}}{3}$

C

$\frac{3}{2}$

D

$\sqrt{10}$

4
AP EAPCET 2025 - 22nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the lines $x+2 a y+a=0, x+3 b y+b=0$, $x+4 c y+c=0$ are concurrent, then $a, b, c$ are in

A

Arithmetic Progression

B

Geometric Progression

C

Harmonic Progression

D

Arithmetico-geometric Progression