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

Cylinder

Solution:
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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