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Q.

If the straight line through the point P(3, 4) makes an angle π6 with the x-axis and meets the line 3x + 5y + 1 = 0 at Q, the length PQ is

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a

30

b

30(3−1)

c

3−1

d

30(33−5)

answer is D.

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Detailed Solution

P(3,4)θ=π/6                 3x+5y+1=0                 PQ=r=|ax1+by1+cacosθ+bsinθ|                 =30×25+33                 =30(33−5)
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