A The figure above shows the curve C with equation: R X y = 2x³ + 3x² - 11x - 6 The curve crosses the x-axis at the points P, Q and R(2,0). The tangent to C at R is the straight line L₁. The normal to C at P is the straight line L2. The straight lines L₁ and L2 meet at the point S. 3a) Find an equation of L₁. 3b) Show that LPSR = 90°.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 20E
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The figure above shows the curve C with equation:

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ett
R
P
The figure above shows the curve C with equation:
X
y = 2x³ + 3x² - 11x - 6
The curve crosses the x-axis at the points P, Q and R(2,0). The tangent to C at R is the
straight line L₁. The normal to C at P is the straight line L2. The straight lines L₁ and L2 meet
at the point S.
3a) Find an equation of L₁.
3b) Show that LPSR = 90°.
Transcribed Image Text:ett R P The figure above shows the curve C with equation: X y = 2x³ + 3x² - 11x - 6 The curve crosses the x-axis at the points P, Q and R(2,0). The tangent to C at R is the straight line L₁. The normal to C at P is the straight line L2. The straight lines L₁ and L2 meet at the point S. 3a) Find an equation of L₁. 3b) Show that LPSR = 90°.
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