1
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

A balloon contains $$2.27 \mathrm{~L}$$ air and has a pressure of $$1.013 \times 10^5 \mathrm{~Nm}^{-2}$$. The balloon rises to a certain height and expands to volume of $$4540 \mathrm{~mL}$$. What is the final pressure of air in balloon?

A
$$2.026 \times 10^2 \mathrm{~Nm}^{-2}$$
B
$$5.065 \times 10^4 \mathrm{~Nm}^{-2}$$
C
$$4.540 \times 10^4 \mathrm{~Nm}^{-2}$$
D
$$5.065 \times 10^{-4} \mathrm{~Nm}^{-2}$$
2
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If A(3, 2, $$-$$1), B($$-$$2, 2, $$-$$3) and D($$-$$2, 5, $$-$$4) are the vertices of a parallelogram, then the area of the parallelogram is

A
286 sq. units
B
$$\sqrt{286}$$ sq. units
C
300 sq. units
D
$$\sqrt{300}$$ sq. units
3
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$\hat{a}$$ is a unit vector such that $$(\bar{x}-\hat{a}) \cdot(\bar{x}+\hat{a})=8$$, then $$|\bar{x}|=$$

A
$$\pm 3$$
B
$$2 \sqrt{2}$$
C
3
D
$$\pm \sqrt{7}$$
4
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The equation of line, where length of the perpendicular segment from origin to the line is 4 and the inclination of this perpendicular segment with the positive direction of X-axis is 30$$^\circ$$, is

A
$$ x+\sqrt{3} y=8 $$
B
$$ x-\sqrt{3} y=8 $$
C
$$ \sqrt{3x} -y=8 $$
D
$$ \sqrt{3x} +y=8 $$
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