Family of linesMediumQuestion 300008
Question
The equation ax + by + c = 0 represents a family of lines when:
- Aa, b, c vary with a linear constraintCorrect
- Ba = b = c
- Ca and b are fixed
- Dc = 0 always
Correct answer
a, b, c vary with a linear constraint
Explanation
A family of lines is generated by a linear relation among the parameters a, b, c in ax+by+c=0. For example, lines through a fixed point or lines with a fixed sum of intercepts.