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  • The equation of the straight lines joining the origin to the points of intersection of the line lx + my = 1 and the curve y2 = 4ax is:Option: 1</

The equation of the straight lines joining the origin to the points of intersection of the line lx + my = 1 and the curve y2 = 4ax is:

Option: 1

4 a l x^{2}+4 a m x y-y^{2}=0


Option: 2

4 a l x^{2}+4 a m x y+y^{2}=0


Option: 3

4 a l x^{2}-4 a m x y-y^{2}=0


Option: 4

4 a l x^{2}-4 a m x y+y^{2}=0


Answers (1)

best_answer

\\\text{The given line is } \\ l x+m y = 1...(i) \\ \frac{l x+m y}{1}=1 \\\\\text {The given curve is } y^{2}=4 ax ...(ii)\\

Making the Eq. (ii) homogeneous in x and y by using Eq. (i), we get

y^{2}=4 a x(l x+m y)
4 a l x^{2}+4 a m x y-y^{2}=0

 

Posted by

Irshad Anwar

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