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0 votes
7.9k views
in Mathematics by (53.3k points)

If one of the lines represented by ax2 + 2hxy + by2 = 0 bisects the angle between the axes, then 

(a)  4h2 = ab

(b)   8h2 = 9ab

(c)  (a + b)2 = 4h2

(d)  (a + b)2 = 2h2

1 Answer

+1 vote
by (53.1k points)
selected by
 
Best answer

Correct option (c) (a + b)2 = 4h2

Explanation 

Suppose y = x is one of the lines. That is

ax2 + 2hx2 + bx2 = 0

a + b = -2h

(a + b)2  4h2

 Suppose y = - x is one of the lines. Then

a - 2h + b = 0

(a + b)2 = 4h2

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