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If m is the slope of one of the lines re...

If m is the slope of one of the lines represented by
`ax^(2)+2hxy+by^(2)=0` then `(h+bm)^(2)`=

A

`h^(2)-ab`

B

`h^(2)+ab`

C

`(a-b)^(2)`

D

`(a+b)^(2)`

Text Solution

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The correct Answer is:
A
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If the slope of one of the lines represented by ax^2 + 2hxy+by^2=0 be the nth power of the other , prove that , (ab^n)^(1/(n+1)) +(a^nb)^(1/(n+1))+2h=0 .

Find the condition that the slope of one of the lines represented by ax^2+2hxy+by^2=0 should be n times the slope of the other .

Knowledge Check

  • If the slope of one of the lines represented by ax^(2)-6xy+y^(2)=0 is the square of the other then

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    A
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    C
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