Equation of the Diameter of Parabola Bisecting Parallel Chords of Given Slope Date of Exam May 2016 Subject Mathematics, Surveying and Transportation Engineering Problem A parabola has an equation of y^{2} = 8x. Find the equation of the diameter of the parabola, which bisect chords parallel to the line x – y = 4. A. y = 2 C. y = 4 B. y = 3 D. y = 1 Answer Key Click here to show or hide the Answer Key [ C ] Solution Click here to expand or collapse this section From x – y = 4: $m = 1$ Slope of chords: $y' = m$ $y' = 1$ From the parabola: $y^2 = 8x$ $2y \, y' = 8$ $2y(1) = 8$ $y = 4$ ← Answer: [ C ] Category Differential Calculus parabola Diameter of Parabola Chords of Parabola Log in or register to post comments