1
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
For a binomial variate $X \sim B(n, p)$ the difference between the mean and variance is 1 and the difference between their square is 11 . If the probability of $P(x=2)=m\left(\frac{5}{6}\right)^n$ and $n=36$, then $m: n$
A
$6: 5$
B
$7: 10$
C
$36: 1$
D
$42: 25$
2
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The probability that a man failing to hit a target is $\frac{1}{3}$. If he fires 4 times, then the probability that he hits the target at least thrice is
A
$\frac{16}{27}$
B
$\frac{11}{27}$
C
$\frac{8}{81}$
D
$\frac{32}{81}$
3
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
$A(2,3), B(-1,1)$ are two points. If $P$ is a variable point such that $\angle A P B=90^{\circ}$, then locus of $P$ is
A
$x^2+y^2-x-4 y+1=0$
B
$x^2+y^2+x+4 y-1=0$
C
$x^2+y^2-x+4 y-1=0$
D
$x^2+y^2+x-4 y+1=0$
4
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If the origin is shifted to remove the first degree terms from the equation $2 x^2-3 y^2+4 x y+4 x+4 y-14=0$, then with respect to this new coordinate system the transformed equation of $x^2+y^2-3 x y+4 y+3=0$ is
A
$x^2+y^2-3 x y-2 x+y+6=0$
B
$x^2+y^2-3 x y-2 x+7 y+3=0$
C
$x^2+y^2-3 x y-2 x+y+4=0$
D
$x^2+y^2-3 x y-2 x+7 y+4=0$
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