1.

If the equatoin ax^(2)-y^(2)+bx+cy+d=0 represents a pair of lines whose slopes are m and m^(2), then value (s) of a is /are

Answer»

`a=-8`
`a=8`
`a=27`
`a=-27`

Solution :`m and m^(2)` are the roots of equation
`((y)/(X))^(2)-6((y)/(x))+a=0`
`:. m+m^(2)=6andm^(3)=a`
or`m^(3)+m^(6)+3m^(3)(m+m)=216`
`a+a^(2)+3A*6=216`
`a^(2)+19a-216=0or a=8,a=-27`


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