1
KCET 2018
MCQ (Single Correct Answer)
+1
-0
The maximum value of $\left(\frac{1}{x}\right)^x$ is
A
e
B
$e^e$
C
$e^{1 / e}$
D
$\left(\frac{1}{e}\right)^{1 / e}$
2
KCET 2018
MCQ (Single Correct Answer)
+1
-0
$f(x)=x^x$ has stationary point at
A
$x=e$
B
$x=\frac{1}{e}$
C
$x=1$
D
$x=\sqrt{e}$
3
KCET 2017
MCQ (Single Correct Answer)
+1
-0
The function $f(x)=x^2+2 x-5$ is strictly increasing in the interval
A
$(-\infty,-1)$
B
$[-1, \infty)$
C
$(-\infty,-1]$
D
$(-1, \infty)$
4
KCET 2017
MCQ (Single Correct Answer)
+1
-0
The point on the curve $y^2=x$ where the tangent makes an angle of $\pi / 4$ with $X$-axis is
A
$(4,2)$
B
$\left(\frac{1}{2}, \frac{1}{4}\right)$
C
$\left(\frac{1}{4}, \frac{1}{2}\right)$
D
$(1,1)$
KCET Subjects
EXAM MAP