Purchase Solution

Parabola

Not what you're looking for?

Ask Custom Question

For a parabola y^2 = 4ax:
1. Find the equation of the tangent at P ( at^2, 2at ) on the parabola.
2. Find the point Q on the parabola so that PQ passes through the focus F ( a, 0 ) of the parabola
3. Show that the tangents at P and Q intersect on the directrix of the parabola

Purchase this Solution
Solution Summary

This is a problem regarding tangent and focus of a parabola. Parabolas which pass through the focus are determined.

Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Probability Quiz

Some questions on probability

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

View More Free Quizzes
Related BrainMass Solutions

  • Equation of Parabola

    206598 Writing an Equation of Parabola A. Write an equation for a parabola with a vertex at (0, -5). HINT: Assume the parabola is in the form ax^2 + bx + c = y. Need to solve for a b and c. b.

  • Does the parabola open upward or downward?

    139730 Does the parabola open upward or downward? Need help to determine whether the graph of each parabola opens upward or downward. See attached file for full problem description. Solution.

  • Equation of parabola

    The equation of a parabola can yield significant clues about the shape and location of the parabola instead of plotting the parabola. This problem demonstrates this idea by means of a simple case.

  • Radical Expressions and Parabola Word Problem

    is on the parabola, then we have . Therefore, the equation of the parabola is . Another point on the parabola is The expert analyzes a radical expression for a parabola word problem. The axis of symmetry and lead coefficients are given.

  • Parabola - Vertex, Intercepts

    (2) Find the equation for a parabola that has a vertex at (-12,-40) and passes through the point (6,68). (1) Let the parabola equation be y = ax^2 + bx + c. This contains the point (0, 4) 4 = c. The parabola is then y = ax^2 + bx + 4.

  • Parabola

    Hence, it is a vertical parabola This solution is comprised of a detailed explanation to write an equation for the parabola.

  • Consider a parabola

    45499 Consider a parabola Can you help solving the problem and show how to graph? --- Consider a parabola . How to find a, b, and c that satisfies the following: (see attachment). Graph the parabola. Thank you for your help!

  • Does the parabola open upward or downward?

    Whether a parabola opens upward or downward is investigated. The parabola for the equation is determined. The vertex is determined.

  • Find point of intersection of two lines tangent to a parabola

    652692 Find point of intersection of two lines tangent to a parabola Let P be the point (3, 9/4). This point lies on the parabola 4y = x^2. A line is drawn through P and the focus of the parabola and intersects another point Q on the parabola.

View More Related Solutions