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

If $f(x)=[x]$, where $[x]$ is the greatest integer not greater than $x$, then $f^{\prime}\left(1^{+}\right)=$ ...........

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

If lines represented by $$\left(1+\sin ^2 \theta\right) x^2+2 h x y+2 \sin \theta y^2=0, \theta \in[0,2 \pi]$$ are perpendicular to each other then $\theta=$ ...........

A
$\frac{\pi}{2}$
B
$\pi$
C
$\frac{3 \pi}{2}$
D
$\frac{\pi}{6}$
3
MHT CET 2019 2nd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $A=\{x \mid x \in N, x$ is a prime number less than $12\}$ and $B=\{x \mid x \in N, x$ is a factor of 10$\}$, then $A \cap B=$ .............

A
$\{2\}$
B
$\{2,5\}$
C
$\{2,5,10\}$
D
$\{1,2,5,10\}$
4
MHT CET 2019 2nd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $R$ is the circum radius of $\triangle A B C$, then $A(\triangle A B C)=\ldots \ldots$

A
$\frac{a b c}{R}$
B
$\frac{a b c}{4 R}$
C
$\frac{a b c}{3 R}$
D
$\frac{a b c}{2 R}$
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