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

The mean of five observations is 4 and their variance is 5.2. If three of these observations are 1, 2 and 6, then the other two are

A
2 and 9
B
3 and 8
C
4 and 7
D
5 and 6
2
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$\overline{\mathrm{a}}=\hat{\mathrm{i}}+2 \hat{\mathrm{j}}-3 \hat{\mathrm{k}}, \overline{\mathrm{b}}=3 \hat{\mathrm{i}}-\hat{\mathrm{j}}+2 \hat{\mathrm{k}}, \overline{\mathrm{c}}=\hat{\mathrm{i}}+3 \hat{\mathrm{j}}+\hat{\mathrm{k}}$$ and $$\overline{\mathrm{a}}+\lambda \overline{\mathrm{b}}$$ is perpendicular to $$\overline{\mathrm{c}}$$, then $$\lambda=$$

A
$$-$$2
B
4
C
$$-$$4
D
2
3
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$\mathrm{p}$$ is the length of the perpendicular from origin to the line whose intercepts on the axes are a and $$b$$, then $$\frac{1}{a^2}+\frac{1}{b^2}=$$

A
$$\mathrm{p}^2$$
B
$$\frac{1}{2 \mathrm{p}^2}$$
C
$$2 p^2$$
D
$$\frac{1}{\mathrm{p}^2}$$
4
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The abscissa of the points, where the tangent to the curve $$y=x^3-3 x^2-9 x+5$$ is parallel to $$X$$ axis are

A
$$x=1$$ and $$-1$$
B
$$x=1$$ and $$-3$$
C
$$x=-1$$ and 3
D
$$\mathrm{x}=0$$ and 1
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