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

If $P(2,2), Q(-2,4)$ and $R(3,4)$ are the vertices of $\triangle P Q R$ then the equation of the median through vertex $R$ is ......

A
$x+3 y+9=0$
B
$x-3 y+9=0$
C
$x-3 y-9=0$
D
$x+3 y-9=0$
2
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $x=\sqrt{a^{\sin ^{-1} t}}, y=\sqrt{a^{\cos ^{-1} t}}$, then $\frac{d y}{d x}=\ldots .$.

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

A stone of mass 1 kg is tied to a string 2 m long and it's rotated at constant speed of $40 \mathrm{~ms}^{-1}$ in a vertical circle. The ratio of the tension at the top and the bottom is [Take $g=10 \mathrm{~ms}^{-2}$]

A
$\frac{81}{79}$
B
$\frac{79}{81}$
C
$\frac{19}{12}$
D
$\frac{12}{19}$
4
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

2. Two coils have a mutual inductance of 0.01 H . The current in the first coil changes according to equation, $I=5 \sin 200 \pi t$. The maximum value of emf induced in the second coil is

A
$10 \pi V$
B
$0.1 \pi \mathrm{~V}$
C
$\pi V$
D
$0.01 \pi \mathrm{~V}$
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