1
AP EAPCET 2024 - 21th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
An urn contains 3 black and 5 red balls. If 3 balls are drawn at random from the urn, the mean of the probability distribution of the number of red balls drawn is
A
$\frac{45}{28}$
B
$\frac{15}{8}$
C
$\frac{2}{5}$
D
$\frac{3}{2}$
2
AP EAPCET 2024 - 21th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $X \sim B(5, p)$ is a binomial variate such that $P(X=3)=P(X=4)$, then $P(|X-3|<2)=$
A
$\frac{242}{243}$
B
$\frac{201}{243}$
C
$\frac{200}{243}$
D
$\frac{121}{243}$
3
AP EAPCET 2024 - 21th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The perimeter of the locus of the point $P$ which divides the line segment QA internally in the ratio $1: 2$, where $A=(4,4)$ and $Q$ lies on the circle $x^2+y^2=9$, is
A
$8 \pi$
B
$4 \pi$
C
$\pi$
D
$9 \pi$
4
AP EAPCET 2024 - 21th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
Suppose the axes are to be rotated through an angle $\theta$ so as to remove the $x y$ form from the equation $3 x^2+2 \sqrt{3} x y+y^2=0$. Then, in the new coordinate system the equation $x^2+y^2+2 x y=2$ is transformed to
A
$(2+\sqrt{3}) x^2+(2-\sqrt{3}) y^2+2 x y=4$
B
$(2-\sqrt{3}) x^2+(2+\sqrt{3}) y^2-2 x y=4$
C
$x^2+y^2-2(2-\sqrt{3}) x y=4(2-\sqrt{3})$
D
$x^2+y^2+2(2+\sqrt{3}) x y+=4(2+\sqrt{3})$
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