1
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The number of possible distinct straight lines passing through $(2,3)$ and forming a triangle with co-ordinate axes whose area is 12 sq . units are,

A
one
B
two
C
three
D
four
2
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The differential equation $\left[\frac{1+\left(\frac{d y}{d x}\right)^2}{\left(\frac{d^2 y}{d x^2}\right)}\right]^{\frac{3}{2}}=\mathrm{kx}$ is of

A
order $=2$, degree $=3$
B
order $=3$, degree $=2$
C
order $=2$, degree $=2$
D
order $=3$, degree $=3$
3
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

A triangular park is enclosed on two sides by a fence and on the third side a straight river bank. The two sides having fence are of same length $x$. The maximum area (in sq. units) enclosed by the park is

A
$\frac{3}{2} x^2$
B
$\sqrt{\frac{x^3}{8}}$
C
$\frac{1}{2} x^2$
D
$\pi x^2$
4
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If p and q are statements, then _________ is a contingency.

A
$\mathrm{p} \wedge \sim \mathrm{p}$
B
$\mathrm{p} \vee \sim \mathrm{p}$
C
$\mathrm{p} \vee \mathrm{q}$
D
$(\mathrm{p} \wedge(\mathrm{p} \rightarrow \mathrm{q})) \rightarrow \mathrm{q}$
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