A line not parallel to the axes drawn through the point P(3,4) and inclined at an angle θ to the positive direction of x-axis. If the lines meets the line x=6 and y=8 at R and S respectively then

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PR = 3 sec θ

PS = 4 cosec θ

PR+PS=1sin⁡2θ

9(PR)2+16(PS)2=1

answer is A.

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Detailed Solution

cos⁡θ=3PR,sin⁡θ=4PS

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