The circle C has a centre at (6, 9) and a radius of 50. The line l
Question:
The circle C has a centre at (6, 9) and a radius of √50.
The line l1 with equation x + y − 21 = 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 equations of l2 and l3, the tangents at the points P and Q respectively.
c. Find the equation of l4, the perpendicular bisector of the chord PQ.
d. Show that the two tangents and the perpendicular bisector intersect and find the coordinates of R, the point of intersection.
e. Calculate the area of the kite APRQ.
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Step by Step Answer:
Equation of the circle with centre at A6 9 and radius of 50 is x 6 y 9 50 or x 12x 36 y 18y 81 50 or x 12x y 18y 67 0 1 Equation of the line l 1 x y 2...View the full answer
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Ankit Jangra
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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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