1
MHT CET 2023 12th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the matrix $$\mathrm{A}=\left[\begin{array}{cc}1 & 2 \\ -5 & 1\end{array}\right]$$ and $$\mathrm{A}^{-1}=x \mathrm{~A}+y \mathrm{I}$$, when $$I$$ is a unit matrix of order 2 , then the value of $$2 x+3 y$$ is

A
$$\frac{8}{11}$$
B
$$\frac{4}{11}$$
C
$$\frac{-8}{11}$$
D
$$\frac{-4}{11}$$
2
MHT CET 2023 12th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The inverse of the statement "If the surface area increase, then the pressure decreases.", is

A
If the surface area does not increase, then the pressure does not decrease.
B
If the pressure decreases, then the surface area increases.
C
If the pressure does not decreases, then the surface area does not increase.
D
If the surface area does not increase, then the pressure decreases.
3
MHT CET 2023 12th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

In a triangle, the sum of lengths of two sides is $$x$$ and the product of the lengths of the same two sides is $$y$$. If $$x^2-\mathrm{c}^2=y$$, where $$\mathrm{c}$$ is the length of the third side of the triangle, then the circumradius of the triangle is

A
$$\frac{\mathrm{c}}{3}$$
B
$$\frac{\mathrm{c}}{\sqrt{3}}$$
C
$$\frac{3}{2} y$$
D
$$\frac{y}{\sqrt{3}}$$
4
MHT CET 2023 12th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The contrapositive of "If $$x$$ and $$y$$ are integers such that $$x y$$ is odd, then both $$x$$ and $$y$$ are odd" is

A
If both $$x$$ and $$y$$ are odd integers, then $$x y$$ is odd.
B
If both $$x$$ and $$y$$ are even integers, then $$x y$$ is even.
C
If $$x$$ or $$y$$ is an odd integer, then $$x y$$ is odd.
D
If both $$x$$ and $$y$$ are not odd integers, then the product $$x y$$ is not odd.
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