MHT-CET

THREE DIMENSIONAL GEOMETRY question bank (Mathematics)

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Q1.

The value of $k$ such that the line $\frac{x-4}{1}=\frac{y-2}{1}=\frac{z-k}{2}$ lies in the plane $2x-4y+z=7$ is:

(A)

No real value

(B)

$4$

(C)

$7$

(D)

$7$

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Q2.

The angle between the line $\frac{x-1}{2}=\frac{y+3}{1}=\frac{z+7}{2}$ and the plane $\bar{r} \cdot(6 \hat{\imath}-2 \hat{\jmath}-3 \hat{k})=5$ is

(A)

$\sin ^{-1}\left(\frac{4}{21}\right)$

(B)

$\cos ^{-1}\left(\frac{4}{21}\right)$

(C)

$\sin ^{-1}\left(\frac{5}{7}\right)$

(D)

$\cos ^{-1}\left(\frac{5}{7}\right)$

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