How many planes can contain two lines?

one plane
Two intersecting lines are contained in exactly one plane. 5. If two lines intersect, then they intersect in exactly one point. + 6.

How many planes pass two intersecting lines?

Answer: Only one plane passes through two intersecting lines and it is impossible for one more plane if it has been.

How many straight lines can be formed by joining 12 points on a plane out of which no points are collinear?

∴ The number of different straight lines that can be formed by joining the given 12 points. . 12C212×111×2=66.

How many planes go through a line?

Two distinct planes are either parallel or they intersect in a line. A line is either parallel to a plane, intersects it at a single point, or is contained in the plane. Two distinct lines perpendicular to the same plane must be parallel to each other.

What is through any two points?

through any two points, there is exactly one line. a line contains at least two points. If two planes intersect, then their intersection is a line.

When two planes intersect two lines are formed?

If two planes intersect each other, the intersection will always be a line. where r 0 r_0 r0​ is a point on the line and v is the vector result of the cross product of the normal vectors of the two planes.

How many points are there in the intersection of two distinct lines answer?

1 If two distinct lines intersect, they intersect in exactly one point.

Do any two planes intersect?

The intersection of two planes is a line. They cannot intersect at only one point because planes are infinite. Furthermore, they cannot intersect over more than one line because planes are flat.

How many straight lines can be formed by joining 10 points on a plane?

Given: n = 10. Hence, the number of straight lines that can be formed is 45.

How many straight lines can be drawn with 12 points in a plane of which 5 points are collinear 2 points?

We have given 5 collinear points so on joining these 5 points we will get only one line. And hence for the total number of straight lines we have to subtract 5C2and add 1 in place of 5C2 because only one line will form from these 5 points. 12C2−5C2+1= 57.

How many planes have one line and point outside the line?

There can be only one plane that include one line and point outside the line.

How many planes can go through 3 points?

We know that only one plane can pass through three non-collinear points. And if a line intersects a plane that doesn’t contain the line, then the intersection is exactly one point.

How many lines can a plane pass through a point?

Through a given point there passes: one and only one line perpendicular to a plane one and only one plane perpendicular to a line

How many straight lines can be drawn through two straight lines?

You can draw infinitely many straight lines through any point or through the point of intersection of two given lines, but you can never draw a line through another line or through two lines. Either one or two. If the given straight lines are coincident, there is just a single line that can be drawn “through” them.

How many lines are perpendicular to the same plane?

Through a given point there passes: one and only one line perpendicular to a plane one and only one plane perpendicular to a line two lines perpendicular to the same plane are coplanar (they lie on the same plane – the orange one)

What is the difference between a plane and a line?

In other words, for any two distinct points, there is exactly one line that passes through those points, whether in two dimensions or three. Similarly, given any three points that do not all lie on the same line, there is a unique plane that passes through these points. Just as a line is determined by two points, a plane is determined by three.