2026 HGV P1 Q11

2026 HGV P1 Q11

Secondary 4
9 marks

The equation of a circle, centre \(C\), is \(x^2+y^2+8x-2y=8\). The line \(x=-7\) meets the circle at the points \(A\) and \(B\), where \(A\) lies above the \(x\)-axis.

  1. Find the coordinates of \(A\) and of \(B\).[4]
  2. Evaluate the gradient of radius \(BC\) and hence find the equation of the tangent to the circle at \(B\).[5]

Solution:

Solution locked

Sign in to view the step-by-step solution

Similar questions are unavailable for this question.
Answer:(a) \(A(-7,5)\), \(B(-7,-3)\). (b) Gradient \(\dfrac43\); tangent \(y=-\dfrac34x-\dfrac{33}4\).

Need help? Join our JC Math tuition classes.

Learn more