If a line makes an angel of `pi/4` with the positive direction of each of x-axis and y-axis, then the angel that the line makes with the positive dire
If a line makes an angel of
`pi/4`
with the positive direction of each of
x-axis and y-axis, then the angel that the line makes with the positive
direction of the z-axis is
a. `pi/3`
b. `pi/4`
c. `pi/2`
d. `pi/6`
A. `(pi)/(3)`
B. `(pi)/(4)`
C. `(pi)/(2)`
D. `(pi)/(6)`
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1 Answers
Correct Answer - c
Here `l=cos""(pi)/(4),m=cos""(pi)/(4)`
Let the line make an angle `gamma` with the z-axis. Then `l^(2)+m^(2)+n^(2)=1`
or `cos^(2)""(pi)/(4)+cos^(2)""(pi)/(4)+cos^(2)gamma=1`
or `(1)/(2)+(1)/(2)+cos^(2)gamma=1`
or `2cos^(2)gamma=0orcosgamma=0orgamma=(pi)/(2)`
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