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If acute angle between the line `vec r=hati +2hatj+lambda(4hati-3hatk)` and xy-plane is `theta_(1)` and acute angle between planes `x+2y=0 and 2x+y=0` is `theta_(2)`, then `(cos^(2)theta_(1)+sin^(2)theta_(2))` equals to :

A

1

B

`(1)/(4)`

C

`(2)/(3)`

D

`(3)/(4)`

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VIKAS GUPTA (BLACK BOOK) ENGLISH-VECTOR & 3DIMENSIONAL GEOMETRY-Exercise-5 : Subjective Type Problems
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