The circle C has equation x 2 4x + y 2 6y = 7. The
Question:
The circle C has equation x2 − 4x + y2 − 6y = 7. The line l with equation x − 3y + 17 = 0 intersects the circle at the points P and Q.
a. Find the coordinates of the point P and the point Q.
b. Find the equation of the tangent at the point P and the point Q.
c. Find the equation of the perpendicular bisector of the chord PQ.
d. Show that the two tangents and the perpendicular bisector intersect at a single point and find the coordinates of the point of intersection.
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Step by Step Answer:
To solve this problem well go step by step to find the coordinates of points P and Q then find the equations of the tangents at those points the equation of the perpendicular bisector of the chord PQ ...View the full answer
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Related Book For 
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
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