Consider the problem of determining, in an Oxy orthogonal Cartesian system, the equation of the straight r tangent to circumference 4 3 C:x² + y? = 5 P. at the point P = (-1,2) of this circle. The straight will have an equation of form -3 2 r: y – 2 = m(x + 1) Determine the value of m for which the line will meet a circumference at a single point, that is, it will be tangent to the circumference at point P. -3 3.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Consider the problem of determining, in an Oxy orthogonal Cartesian
system, the equation of the straight r tangent to circumference
4
3
C:x² + y? = 5
P.
at the point P = (-1,2) of this circle. The straight will have
an equation of form
-3
2
r: y – 2 = m(x + 1)
Determine the value of m for which the line will meet a
circumference at a single point, that is, it will be tangent
to the circumference at point P.
-3
3.
Transcribed Image Text:Consider the problem of determining, in an Oxy orthogonal Cartesian system, the equation of the straight r tangent to circumference 4 3 C:x² + y? = 5 P. at the point P = (-1,2) of this circle. The straight will have an equation of form -3 2 r: y – 2 = m(x + 1) Determine the value of m for which the line will meet a circumference at a single point, that is, it will be tangent to the circumference at point P. -3 3.
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