The circle C has centre P(11, 5) and passes through the point Q(5, 3). a. Find an
Question:
The circle C has centre P(11, −5) and passes through the point Q(5, 3).
a. Find an equation for C. The line l1 is a tangent to C at the point Q.
b. Find an equation for l1. The line l2 is parallel to l1 and passes through the midpoint of PQ. Given that l2 intersects C at A and B
c. Find the coordinates of points A and B
d. Find the length of the line segment AB, leaving your answer in its simplest surd form.
Transcribed Image Text:
y Q(5, 3) A 4₁ B P(11,-5) 1₂ C X
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a To find an equation for the circle C we need to determine its radius and substitute the values into the standard equation of a circle The center of the circle is P11 5 and it passes through the poin...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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