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A sphere has an infinite number of planes of symmetry. The plane must include the center of the sphere, but it can tilt at any angle. The question is the same as asking "How many planes can be drawn through one point ?" The answer is: An infinite number. And as long as the point is the center of the sphere, each plane is a plane of symmetry of the sphere.
just one
Between 2 distinct points, there are an infinite number of planes that can be drawn in 3 dimensions
Infinitely many.
the answer is one
A sphere has an infinite number of planes of symmetry. The plane must include the center of the sphere, but it can tilt at any angle. The question is the same as asking "How many planes can be drawn through one point ?" The answer is: An infinite number. And as long as the point is the center of the sphere, each plane is a plane of symmetry of the sphere.
Two tangents can be drawn from a point outside a circle to the circle. The answer for other curves depends on the curve.
Any tangent must contain a point outside the circle. So the answer to the question, as stated, is infinitely many. However, if the question was how many tangents to a circle can be drawn from a point outside the circle, the answer is two.
just one
One.
Infinitely many.
the answer is one
Between 2 distinct points, there are an infinite number of planes that can be drawn in 3 dimensions
uncountable lines can be drawn through one point.
Only one plane can pass through 3 non-collinear points.
one
that is impossible. if they aren't parrallel, and they're rays they have to intersect at some point. This is because rays spread at both ends. The above answer is only correct if the rays on drawn on the same plane or if they are drawn on convergent (intersecting) planes, so the correct answer is the two rays must be drawn on separate planes that are not convergent, since all non-parallel lines on the same plane, or on convergent planes, will eventually intersect. If they are drawn in 3 dimensions than you can avoid them intersecting. Perhaps the questions is not specific enough?