Question
(b) Find the equation of tangent plane to the conicoid Represent the tangent plane geometrically.
Answer :
Word Count : 463
To find the equation of the tangent plane to the conicoid at a point, we use the gradient of the surface and the point where the tangent plane is to be evaluated. ### Step 1: Write the given surface equation. We are given the conicoid equation: \[ x^2 + 3y^2 = 4z. \] Rearranging this, we get: \[ x^2 + 3y^2 - 4z = 0. \] ### Step 2: Compute the gradient of the surface. The gradient _______ ___ _____ ___ ___ ______ ___ __________ ______.
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To find the equation of the tangent plane to the conicoid at a point, we use the gradient of the surface and the point where the tangent plane is to be evaluated. ### Step 1: Write the given surface equation. We are given the conicoid equation: \[ x^2 + 3y^2 = 4z. \] Rearranging this, we get: \[ x^2 + 3y^2 - 4z = 0. \] ### Step 2: Compute the gradient of the surface. The gradient _______ ___ _____ ___ ___ ______ ___ __________ ______.
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Related Questions
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