AP EAPCET 2024 - 21th May Morning Shift | Application of Derivatives Question 17 | Mathematics

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

$\frac{1}{5}$

$\frac{1}{3}$

$\frac{1}{2}$

$\frac{1}{6}$

AP EAPCET 2024 - 21th May Morning Shift

MCQ (Single Correct Answer)

-0

The equation of the normal drawn to the parabola $y^2=6 x$ at the point $(24,12)$ is

$3 x-y=60$

$4 x+y=108$

$2 x+y=60$

$x-2 y=0$

AP EAPCET 2024 - 21th May Morning Shift

MCQ (Single Correct Answer)

-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

$(2,6)$

$(2,-6)$

$(-2,-6)$

$(-2,6)$

AP EAPCET 2024 - 21th May Morning Shift

MCQ (Single Correct Answer)

-0

If $f(x)=x^x$, then the interval in which $f(x)$ decrease is

$\left[0, \frac{1}{e}\right]$

$[0, \mathrm{e}]$

$\left[\frac{1}{\theta}, \infty\right]$

$\left[0, e^e\right]$

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