Chapter 2.P, Problem 3P

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

Show that the tangent lines to the parabola
*x*-coordinates *p* and *q* must intersect at a point whose *x*-coordinate is halfway between *p* and *q.*

To determine

**To show: **the tangents to parabola

Explanation

**1) Concept:**

Here we have to use concept of derivative of curve as slope of tangent.

From given

Using given slopes and points we can find equation of tangents.

As tangents intersects each other, equating both equations of tangent we can find

**2) Formula:**

i. Slope of tangent

ii. Equation of tangent through

**3) Given:**

Parabola

**4) Calculations:**

Slope of tangent to given parabola

As given parabola has tangents at points

Therefore, equation of tangent through point

Through

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