1
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
$\frac{\pi}{4}$
2
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
$2+\sqrt{\frac{8}{3}}$
3
AP EAPCET 2024 - 20th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $T=2 \pi \sqrt{\frac{L}{g}}, \mathrm{~g}$ is a constant and the relative error in $T$ is $k$ times to the percentage error in $l$, then $\frac{1}{K}=$
A
2
B
$\frac{1}{200}$
C
200
D
$\frac{1}{2}$
4
AP EAPCET 2024 - 20th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The angle between the curves $y^2=2 x$ and $x^2+y^2=8$ is
A
$\tan ^{-1}(1)$
B
$\tan ^{-1}(2)$
C
$\tan ^{-1}(3)$
D
$\tan ^{-1}\left(-\frac{1}{2}\right)$(d) $\tan ^{-1}\left(-\frac{1}{2}\right)$
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