Geometrymedium · Past Paper
The homogeneous equation of second degree ax^2 + 2hxy + by^2 = 0 represents a pair of straight lines passing through:
A(a, b)
B(h, 0)
CThe origin
DNone of these
✓ Correct Answer: C — The origin
A homogeneous equation in x and y always represents a pair of lines passing through the origin (0, 0).
Share this question
More from Geometry
- Find 'k' if the point (2, 3) lies on the line 5x + ky - 4 = 0.
- If (a, 0), (0, b), and (1, 1) are collinear, then 1/a + 1/b = ?
- In a circle with center O, the measure of central angle AOB is 80 degrees. If the area of sector AOB is 16*pi, what is the radius?
- A circle is inscribed in a triangle ABC with sides 8 cm, 10 cm, and 12 cm. Find the length of the segment of the side 12 cm from the vertex opposite to the side 10 cm.
- If the slope of line L1 is 1/2, then the slope of a line L2 perpendicular to L1 is: