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

The general solution of the differential equation of all circles having centre at $A(-1,2)$ is ........

A
$x^2+y^2+x-2 y+c=0$
B
$x^2+y^2-2 x+4 y+c=0$
C
$x^2+y^2-x+2 y+c=0$
D
$x^2+y^2+2 x-4 y+c=0$
2
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $A$ is non-singular matrix such that $(A-2 l)(A-4 I)=0$ then $A+8 A^{-1}=$ ..........

A
I
B
0
C
3I
D
6I
3
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $G(3,-5, r)$ is centroid of triangle $A B C$ where $A(7,-8,1), B(p, q, 5)$ and $C(q+1,5 p, 0)$ are vertices of a triangle then values of $p, q, r$ are respectively ......

A
$6,5,4$
B
$-4,5,4$
C
$-3,4,3$
D
$-2,3,2$
4
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\int \frac{1}{\left(x^2+1\right)^2} d x=\ldots$$

A
$\tan ^{-1} x-\frac{1}{2 x\left(x^2+1\right)}+c$
B
$\frac{1}{2} \tan ^{-1} x+\frac{x}{2\left(x^2+1\right)}+c$
C
$\tan ^{-1} x+\frac{1}{x^2+1}+c$
D
$\tan ^{-1} x+\frac{1}{2\left(x^2+1\right)}+c$
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