Graph x^2+ y^2= 4 in 3D looks like: - Vidyadip

MCQ

Graph $x^2+ y^2= 4$ in $3D$ looks like:

A
Circle
✓
Cylinder
C
Hemisphere
D
Sphere

✓

Answer

Correct option: B.

Cylinder

The given curve is $x^2+ y^2= 4$
So $x$ coordinate and $y-$coordinate are connected by $x^2+ y^2= 4$ which is locus of a circle with radius $2$ But $z-$coordinate can be anything,
so in three dimension the circle $x^2+ y^2= 4$ will be stretched which will be a cylinder with radius same as the radius of the circle.

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