1
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $P\left(x_1, y_1\right)$ is a point on the hyperbola $x^2-y^2=a^2$, then $S P$. S'P $=$ .............

A
$\frac{x_1^2-y_1^2}{a^2}$
B
$\frac{x_1^2+y_1^2}{a^2}$
C
$x_1^2-y_1^2$
D
$x_1^2+y_1^2$
2
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $f(x)=\cos ^{-1}\left[\frac{1-(\log x)^2}{1+(\log x)^2}\right]$, then $f^{\prime}(e)=\ldots$

A
$\frac{1}{e}$
B
$\frac{2}{e^2}$
C
$\frac{2}{e}$
D
1
3
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The order of the differential equation of all circles whose radius is 4 , is ...........

A
1
B
2
C
3
D
4
4
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $A=\left[\begin{array}{ll}x & 1 \\ 1 & 0\end{array}\right]$ and $A=A^{-1}$, then $x=\ldots \ldots$

A
0
B
4
C
2
D
1
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