Questions
The distance of the line from measured along the direction whose slope is , is
a
35
b
65
c
25
d
none of these
detailed solution
Correct option is A
The equation of a line passing through P(4,1) and slope -2 isx−415=y−125 ∵tanθ=−2⇒cosθ=−15,sinθ=25Suppose it cuts x+y-B=0 at Q such that PQ=r. Then, the coordinates of Q are given by x−4−15=y−12=r⇒x=4−r5,y=1+2r5Since Q lies on the line x+y-B=0. ∴ 4−r5+1+2r5−8=0⇒r=35Hence, required distance =35 units.Talk to our academic expert!
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The straight line passing through and making an angle with x-axis intersects Ax+By+C=0 in Q then PQ=
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