Question

Find the equation of a pair of lines passing through the point (1, 0) and parallel to the lines represented by the equation 3x² + xy - 10y² = 0

Answer 1

Answer:

Correct option is C)

2x

2

−xy−y

2

=0

By factorization,

(2x+y)(x−y)=0

Since, we have given that combined equation of the pair is parallel to 2x

2

−xy−y

2

=0

So combined equation will be,

(2x+y+k

1

)(x−y+k

2

)=0

This equation satisfies (1,0)

(2×1+0+k

1

)(1−0+k

2

)=0

k

2

=−1,k

1

=−2

Put k

1

,k

2

in main equation and get combined equation as

2x

2

−xy−y

2

−4x+y+2=0