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Only 1 line can be drawn perpendicular to a given line at a given point?

Yes (in a Euclidean plane)..


Is it true that only one plane can pass through one and a point that is not on the line?

If you mean "only one plane can pass through another plane and through a point that is not on the line formed by the intersection of the two planes," the answer is "no." If you rotate the plane about the point, it will still intersect the line unless it is parallel to the line. By rotating the plane, you have created other planes that pass through the unmoved plane and through the point that is not on the line formed by the intersection of the two planes.


The number of lines that can be drawn perpendicular to a given line at a given point on that line in a plane is?

Only one line can be drawn perpendicular to a given line at a specific point on that line in a plane. This is based on the definition of perpendicular lines, which intersect at a right angle (90 degrees). The uniqueness of this perpendicular line arises from the geometric properties of Euclidean space.


What is the intersection of a line and a plane?

The intersection of a line and a plane can result in either a single point, if the line passes through the plane, or no intersection at all if the line is parallel to the plane and does not touch it. In some cases, if the line lies entirely within the plane, every point on the line will be an intersection point. Thus, the nature of the intersection depends on the relative positions of the line and the plane.


Only one plane can pass through one line and a point that is not on the line?

I'd feel a lot more comfortable if you said "... can contain one line and a point ...".When you say "pass through one line", I picture a sword passing through a tight pieceof string. If that's how your plane passes through the line, then the statement in your"question" is false. If your plane contains the line and the extra point, then the statementis true ... only one plane can do that.


Do Through a point not on a line one and only one line always can be drawn parallel to the given line?

True


How many distinct line can be drawn through two fixed point?

one


Can only one plane pass through one line and a point that is not on the line?

Yes


The intersection of a plane and a line is?

If the line is not IN the plane ... it just zaps through the plane from some direction ... then it touches the plane in only one point. The intersection is a point.if it is lined up with the plane, then the intersection is a line.


How many line can pass through a point in a plane?

an infinite number


How many lines can be drawn passing through two given line?

Through two given lines, there can be either zero, one, or infinitely many lines that can be drawn, depending on their relationship. If the two lines are parallel, no line can pass through both. If they intersect, exactly one line can be drawn through their intersection point. If they are coincident (the same line), then infinitely many lines can be drawn through them.


If a plane contains one point of a line then it must contain the entire line?

No, a plane can contain only one point of a line. Picture a piece of paper with a pencil stabbed through it. The paper is the plane, and the pencil is the line. The pencil/line only touches the paper/plane at one point. Hope this helped! If it did, please recommend me. -Brad