4. What is the graph of x^{2} – 6y^{2} = 0 ?
A. A hyperbola |
B. The union of two intersecting straight lines |
C. A point |
D. An ellipse |
E. A line through the origin |
Solution: The answer is B
Given,
Solve for y in terms of x as follows,
Since y = ax + b with a ¹ 0 is the general equation of a straight line. The above result represents the equation of two lines that intersect each other at the origin. Hence, the graph is said to be the union of two intersecting straight lines.