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Statement -I : A line makes the same ang...

Statement -I : A line makes the same angle `theta` with each of the x and z-axis. If it makes an angle `alpha` with the y-axis, such that `sin^(2) alpha=3 sin^(2) theta`, then `cos^(2) theta=3/5`.
Statement -II : If a line with direction ratios, `l, m, n` makes angles `alpha, beta, gamma` respectively with x, y amd z-axis then `cos alpha=(l)/sqrt(l^(2)+m^(2)+n^(2)), cos beta =(m)/sqrt(l^(2)+m^(2)+n^(2))` and `cos gamma =(n)/sqrt(l^(2)+m^(2)+n^(2))`.

A

Satement -I is True, Statement -II is True, Statement -II is a correct explanation for Statement -I

B

Satement -I is True, Statement -II is True, Statement -II is not a correct explanation for Statement -I

C

Stament -I is True, Statement -II is False.

D

Statement -I is False, Statement -II is True.

Text Solution

Verified by Experts

The correct Answer is:
A
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