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Let PN be the perpendicular from the poi...

Let PN be the perpendicular from the point
`P(1, 2, 3)` to xy-plane. If OP makes an angle `alpha`
with positive direction of the z-axis and ON makes
an angle `beta` with the positive direction of x-axis,
where O is the origin (`alpha and beta ` are acute angles),
then

A

`sin alpha sinbeta = 2/sqrt(14)`

B

`cos alphacos beta = 2/sqrt(14)`

C

`tan alpha = sqrt(5)/3`

D

`tan beta = 2`

Text Solution

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The correct Answer is:
A, C, D
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