1
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
2
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
$$\frac{27}{2}, 3$$
3
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
4
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The angle between a line with direction ratios 2, 2, 1 and a line joining (3, 1, 4) and (7, 2, 12) is

A
$${\cos ^{ - 1}}\left( {{1 \over {\sqrt 3 }}} \right)$$
B
$${\cos ^{ - 1}}\left( {{1 \over 3}} \right)$$
C
$${\cos ^{ - 1}}\left( {{2 \over 3}} \right)$$
D
$${\cos ^{ - 1}}\left( {{{\sqrt 2 } \over 3}} \right)$$
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