1
AP EAPCET 2024 - 21th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If a number is drawn at random from the set $\{1,3,5,7, \ldots . .59\}$, then the probability that it lies in the interval in which the function $f(x)=x^3-16 x^2+20 x-5$ is stricly decreasing is
A
$\frac{1}{5}$
B
$\frac{1}{3}$
C
$\frac{1}{2}$
D
$\frac{1}{6}$
2
AP EAPCET 2024 - 21th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The equation of the normal drawn to the parabola $y^2=6 x$ at the point $(24,12)$ is
A
$3 x-y=60$
B
$4 x+y=108$
C
$2 x+y=60$
D
$x-2 y=0$
3
AP EAPCET 2024 - 21th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The point which lies on the tangent drawn to the curve $x^4 e^y+2 \sqrt{y+1}=3$ at the point $(1,0)$ is
A
$(2,6)$
B
$(2,-6)$
C
$(-2,-6)$
D
$(-2,6)$
4
AP EAPCET 2024 - 21th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $f(x)=x^x$, then the interval in which $f(x)$ decrease is
A
$\left[0, \frac{1}{e}\right]$
B
$[0, \mathrm{e}]$
C
$\left[\frac{1}{\theta}, \infty\right]$
D
$\left[0, e^e\right]$
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