If the straight line drawn through the pointP(√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.

Please feel free to post as many doubts on our discussion forum as you can. If you find any question
Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We
are all IITians and here to help you in your IIT JEE preparation.

All the best  !!!

Regards,

Askiitians Experts

Adapa Bharath