If 2x + y + k = 0 is a normal to the parabola y2 = –16x, then find the value of k.

Question

If 2x + y + k = 0 is a normal to the parabola y2 = –16x, then find the value of k.
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Solution 1

To find the value of k, we need to determine the equation of the tangent line to the parabola y^2 = -16x at a given point.

Step 1: Find the derivative of the parabola equation. Differentiating y^2 = -16x with respect to x, we get: 2y(dy/dx) = -16

Step 2: Simplify the derivative equation. Dividing Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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