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A line which makes an acute angle theta ...

A line which makes an acute angle `theta` with the positive direction of the x-axis is drawn through the point `P(3,4)` to meet the line `x=6` at `R` and `y=8` at `Sdot` Then, `P R=3sectheta` `P S=4cos e ctheta` `P R=+P S=(2(3sintheta+4costheta_)/(sin2theta)` `9/((P R)^2)+(16)/((P S)^2)=1`

A

`theta = pi//3`

B

`theta = pi//4`

C

`pi//6`

D

`pi//12`

Text Solution

Verified by Experts

The correct Answer is:
C
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