Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If the slope of one of the lines represented by ax 2 + 2hxy + by 2 = 0 be the square of the other, then 
+ 
=
Text Solution
Verified by ExpertsThe correct answer is:
B
Let m and m 2 be the slopes of the lines represented by ax 2 + 2hxy + by 2 = 0
Then, m + m 2 = – 
… (1)
m . m 2 = 
or m 3 = 
… (2)
from (1) (m + m 2 ) 3 = 
⇒ m 3 + m 6 + 3.m.m 2 (m + m 2 ) = – 
⇒ 
+ 
+ 
= 
{from (1) and (2)}
⇒ 
(a + b) + 
= 
or 
+ 
= 6
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