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AP EAPCET 2024 - 22th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If the curves $2 x^2+k y^2=30$ and $3 y^2=28 x$ cut each other orthogonally, then $k$ is equal to

A
5
B
3
C
2
D
1
2
AP EAPCET 2024 - 22th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The interval containing all the real values of $x$ such that the real valued function $f(x)=\sqrt{x}+\frac{1}{\sqrt{x}}$ is strictly increasing is
A
$(1, \infty)$
B
$(0,1)$
C
$(-\infty, 0) \cup(1, \infty)$
D
$(-\infty, 0)$
3
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The value of Lagrange's mean value theorem for $f(x)=e^x+24$ in $[0,1]$ is
A
$\log (e-1)$
B
$\log (e+1)$
C
$\log (e+24)$
D
$\log (e-24)$
4
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
Equation of the normal to the curve $y=x^2+x$ at the point $(1,2)$ is
A
$x-3 y+5=0$
B
$x+3 y+5=0$
C
$x+3 y+7=0$
D
$x+3 y-7=0$
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