1
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The length of the subnormal at any point on the curve $y=\left(\frac{x}{2024}\right)^k$ is constant, if the value of $k$ is
A
1
B
$\frac{1}{3}$
C
$\frac{1}{2}$
D
0
2
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The acute angle between the curves $x^2+y^2=x+y$ and $x^2+y^2=2 y$ is
A
$\frac{2 \pi}{3}$
B
$\frac{\pi}{2}$
C
$\frac{\pi}{3}$
D
$\frac{\pi}{4}$
3
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
A' value of $C$ according to the Lagrange's mean value theorem for $f(x)=(x-1)(x-2)(x-3)$ in $[0,4]$ is
A
$2+\frac{2}{\sqrt{3}}$
B
$2-\sqrt{\frac{16}{3}}$
C
$1+\sqrt{\frac{5}{4}}$
D
$2+\sqrt{\frac{8}{3}}$
4
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
$\int \frac{d x}{x\left(x^4+1\right)}=$
A
$\log \left(\frac{x}{x^4+1}\right)+c$
B
$\frac{3}{4} \log \left(x^4+1\right)+c$
C
$\frac{1}{3} \log \left(\frac{x^3}{x^4+1}\right)+c$
D
$\frac{1}{4} \log \left(\frac{x^4}{x^4+1}\right)+c$
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