1
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The differential equation of all circles which pass through the origin and whose centre lie on Y-axis is

A
$$\left(x^2-y^2\right) \frac{d y}{d x}-2 x y=0$$
B
$$\left(x^2+y^2\right) \frac{d y}{d x}-2 x y=0$$
C
$$\left(x^2+y^2\right) \frac{d y}{d x}+2 x y=0$$
D
$$\left(x^2-y^2\right) \frac{d y}{d x}+2 x y=0$$
2
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

With usual notations if the angles of a triangle are in the ratio 1 : 2 : 3, then their corresponding sides are in the ratio.

A
1 : 2 : 3
B
1 : $$\sqrt3$$ : 3
C
$$\sqrt2$$ : $$\sqrt3$$ : 3
D
1 : $$\sqrt3$$ : 2
3
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$(2 \hat{\mathrm{i}}+6 \hat{\mathrm{i}}+27 \hat{\mathrm{k}}) \times(\hat{\mathrm{i}}+\lambda \hat{\mathrm{j}}+\mu \hat{\mathrm{k}})=\overline{0}$$, then $$\lambda$$ and $$\mu$$ are respectively

A
$$\frac{17}{2}, 3$$
B
$$3, \frac{17}{2}$$
C
$$3, \frac{27}{2}$$
D
$$\frac{27}{2}, 3$$
4
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If f(x) = |x|, for x $$\in$$ ($$-1,2$$), then f is discontinuous at (where [x] represents floor function)

A
x = $$-1,0,1,2$$
B
x = $$-1,0,1$$
C
x = 0, 1
D
x = 2
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