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The sum of slopes of lines 3x^2+5xy-2y^2...

The sum of slopes of lines `3x^2+5xy-2y^2=0` is

A

`-(5)/(3)`

B

`(5)/(2)`

C

`-(5)/(2)`

D

`-(2)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Given equation of pair of lines can be written as `(3x-y)(x+2y)=0`
Slope of separate equations of lines `3x-y=0` is 3 and `x+2y=0` is `-(1)/(2)`.
`therefore` Required sum `=3-(1)/(2)=(5)/(2)`.
Alternate Method
Sum of slope of the lines `3x^2+5xy-2y^2=0` is `m_(1)+m_(2)=(-2h)/(b)=(5)/(2)`.
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