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If the straight line drawn through the point P(√3,2) and making an angle π/2 with the x-axis meets the line √3x-4y+8=0 at Q then the length of PQ is
(a) 4
(b) 5
(c) 6
(d) none
Dear Harshit,
The equation of the line passing through the point P(√3,2) and making angle of 90 degrees with x axis nothig but the line line x= √3.
Now put this value of x in thegiven equation
we get √3 * (√3) - 4y + 8 = 0
---> 4y = 11 ---> y = 11/4
so the point is Q( √3 , 11/4 )
Now distance between the points comes out to be |(11/4) - 2| = 3/2.
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