Give a geometric description of the set of points in space whose coordinates sat

Question

Give a geometric description of the set of points in space whose coordinates satisfy the given pairs of equations 1, x 0 Choose the correct answer below. OA. The circle y2 z2 1 in the yz-plane OB. The solid upper hemisphere cut from the sphere x +z3 1 by the yz-plane (the plane x 0); the hemisphere has radius 1 and is centered at (0,0,00 OC. The circle y 2 z J 1, x 0, together with its interior OD. The hollow upper hemisphere cut from the sphere x ty +z 1 by the yz-plane (the plane x 00 the hemisphere has radius 1 and is centered at (0,0,00

Explanation / Answer

When we cut sphere from center then it makes two hrmi-sphere same radius

x=0 plane cut sphere from center

but solution of plane and sphere always a circle

Circle :y^2+z^2=1 and x=0 , both points interior

So, C is correct.

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