Geometrymedium · Past Paper
The pair of lines represented by x^2 - 5xy + 6y^2 = 0 are:
Ax - 2y = 0 and x - 3y = 0
Bx + 2y = 0 and x + 3y = 0
Cx - y = 0 and x - 6y = 0
D2x - y = 0 and 3x - y = 0
✓ Correct Answer: A — x - 2y = 0 and x - 3y = 0
Factoring the quadratic: x^2 - 2xy - 3xy + 6y^2 = x(x - 2y) - 3y(x - 2y) = (x - 2y)(x - 3y) = 0.
Share this question
More from Geometry
- In a circle with center O, chords AB and CD are equal. If angle AOB = 70 degrees, what is angle COD?
- Find the angle which is equal to its complement.
- If the sum of the areas of two circles with radii r1 and r2 is equal to the area of a circle of radius R, then:
- In a regular polygon, if the ratio of an interior angle to an exterior angle is 3:2, how many sides does the polygon have?
- Two circles of radii 10 cm and 8 cm intersect and the length of the common chord is 12 cm. Find the distance between their centers.