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harshit agarwal Grade: 12
        

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

7 years ago

Answers : (1)

Askiitians Expert Bharath-IITD
23 Points
										

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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Adapa Bharath

7 years ago
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