2026 MSHS P1 Q8

Secondary 4

4 marks

A circle has equation \(x^2+y^2-6x+2y=a\), where \(a\) is a constant. Find the set of values of \(a\) for which there are two real roots when the line \(y=2x-5\) intersects the circle.[4]

Solution:

Solution locked

Similar questions are unavailable for this question.

Answer:\(a\ge-\dfrac{46}5=-9.2\) when repeated roots are included; \(a>-9.2\) for two distinct intersections.

Need help? Join our JC Math tuition classes.

Learn more