5 A circle with centre at the origin passes through the point (2,6). The tangent to the circle at (2,6) cuts the coordinate axes at points P and Q. Find the area of the triangle OPQ. 6 Find the values of k for which the line y = kx is tangent to the circle with centre (3,6) and radius 2. 7 The line 3x - y = 3 is tangent to the circle with centre (5, -1) and radius r. Find the value of r.
5 A circle with centre at the origin passes through the point (2,6). The tangent to the circle at (2,6) cuts the coordinate axes at points P and Q. Find the area of the triangle OPQ. 6 Find the values of k for which the line y = kx is tangent to the circle with centre (3,6) and radius 2. 7 The line 3x - y = 3 is tangent to the circle with centre (5, -1) and radius r. Find the value of r.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please answer 5, and 7
Transcribed Image Text:5 A circle with centre at the origin passes through the point (2,6). The tangent to the
circle at (2,6) cuts the coordinate axes at points P and Q. Find the area of the triangle
OPQ.
6
-
Find the values of k for which the line y
and radius 2.
kx is tangent to the circle with centre (3,6)
7 The line 3x - y = 3 is tangent to the circle with centre (5, -1) and radius r. Find the
value of r.
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