1
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The complex number with argument $$\frac{5 \pi^{\mathrm{c}}}{6}$$ at a distance of 2 units from the origin is

A
$$\sqrt{3}-\mathrm{i}$$
B
$$\sqrt{3}+\mathrm{i}$$
C
$$-\sqrt{3}-\mathrm{i}$$
D
$$-\sqrt{3}+\mathrm{i}$$
2
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$\bar{a}=3 \hat{i}-5 \hat{j}, \bar{b}=6 \hat{i}+3 \hat{j}$$ are two vectors and $$\bar{c}$$ is a vector such that $$\bar{c}=\bar{a} \times \bar{b}$$, then $$a: b$$ : is

A
$$\sqrt{34}: \sqrt{45}: \sqrt{39}$$
B
$$\sqrt{34}: \sqrt{45}: 39$$
C
$$34: 39: 45$$
D
$$39: 35: 34$$
3
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the polar co-ordinates of a point are $$\left(\sqrt{2}, \frac{\pi}{4}\right)$$, then its Cartesian co-ordinates are

A
$$(\sqrt{2}, 2)$$
B
$$(1,-1)$$
C
$$(2, \sqrt{2})$$
D
$$(1,1)$$
4
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The equation of the circle whose centre lies on the line $$x-4 y=1$$ and which passes through the points $$(3,7)$$ and $$(5,5)$$ is

A
$$x^2+y^2+6 x-2 y+90=0$$
B
$$x^2+y^2-6 x-2 y-25=0$$
C
$$x^2+y^2-6 x+2 y-30=0$$
D
$$x^2+y^2+6 x+2 y-90=0$$
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