1. Let a, b and c be positive numbers. The set of points (x, y, z) in R³ such that (x/a)²+(y/b)2- (z/c)² = 1 is called a hyperboloid. Find the equation of the tangent plane to this hyperboloid at a point (xo, yo, zo) on the hyperboloid with zo positive.

Q: -Obtain the parametric equations of the plane given 3 points A = B= C = 555 5 5 5 1 5 -5 4

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A: Let's find.

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A: Detailed explanation mentioned below

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A: Consider the given parabola y2=4ax Suppose Ax1 , y1  and  Bx2 , y2 be the ends of the focal chord of…

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A: This is the problem from the vector algebra and 3D geometry.

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A: Note the following facts : (i) Every intersection with a plane of symmetry is a Geodesic . (ii)…