Find the points on the cone z = x + y that are closest to the point (8, 2, 0) (x, y, z) (smaller z-value) (x, y, z) = (larger z-value)

Q: Which of the points P = (-1,4,-7) and Q = (6,-1,5) is closest to the z-axis? OQ (6,-1,5) OQ (6,-1,0)…

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Q: 9 Find the distance from the point (-7,-3,4) to the xy-plane.

A: Distance of a point (a,b,c) from the plane lx+my+nz=p is (la+mb+nc-p)/sqrt(l^2+m^2+n^2)

Q: Determine the points of intersection of  y=x^2   and   y=x+1

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Q: Find the midpoint and distance for A (0, 3), B (0, 12) and A (12, 6), B (-8, 18)

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Q: Find the points of intersection of x = 4y and y = 4x. (ans.:(0,0),(16,64))

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Q: What is the distance from the point (1,9,3) to the xz-plane?

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Q: Find the point on the sphere x2 + y2 + z2 = 4 farthest from the point (1, -1, 1).

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Q: Find the coordinates of the midpoint of the line (a, 1), (1, a)

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Q: Find the equation to the conicoid generated by lines parallel to the plane XOY, intersect OZ and the…

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