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Show that the lines joining the origin to the points common to x^2+hxy-y^2+gx+fy=0 And fx-gy=p are of right angle for all values of p.

Show that the lines joining the origin to the points common to x^2+hxy-y^2+gx+fy=0 And fx-gy=p are of right angle for all values of p.

Grade:12th pass

1 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
one year ago
Dear student

Please find the points of intersection be (x1,y1), (x2,y2)

now, from the origin the slopes can be obtained

be m1, m2

now, multiply m1 by m2 ie m1*m2

the product should be -1

Regards

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