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Two lines in a plane either intersect at exactly one point or are parallel.

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Lines are either intersecting or parallel or coincident

Two line segments may intersect at two points

Knowledge Check

  • If m parallel lines in plane are intersected by a family of n parallel lines. Find the number of parallelograms formed.

    A
    a. `m^n`
    B
    b. `(m+1) (n+1)`
    C
    c. `((m-n))/(n!)`
    D
    d. `(mn(m-1)(n-1))/(4)`
  • 15 lines are drawn in a plane in such a way that no two of them are parallel and no three are concurrent. The number of points of intersections of these lines is

    A
    455
    B
    465
    C
    475
    D
    485
  • There is a set of m parallel lines intersecting a set of another n parallel lines in a plane. The number of parallelograms formed, is

    A
    `^(m-1)C_2 cdot ^(n-1)C_2`
    B
    `^mC_2 cdot ^(n)C_2`
    C
    `^(m-1)C_2 cdot ^nC_2`
    D
    `^mC_2 cdot ^(n-1)C_2`
  • Similar Questions

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    State which of the following statements are true (T) and which false (F): Point has a size because we can see it as a thick dot on paper. By lines in geometry, we mean only straight lines. Two lines in a place always intersect in a point. Any plane through a vertical line is vertical. Any plane through a horizontal line is horizontal. There cannot be a horizontal line is a vertical plane. All lines in a horizontal plane are horizontal. Two lines in a plane always intersect in a point. If two lines intersect at a point P , then P is called the point of concurrence of the two lines. If two lines intersect at a point p , then p is called the point of intersection of the two lines. If A , B , C a n d D are collinear points D , P a n d Q are collinear, then points A , B , C , D , P a n d Q and always collinear. Two different lines can be drawn passing through two given points. Through a given point only one line can be drawn. Four points are collinear if any three of them lie on the same line. The maximum number of points of intersection of three lines in three. The minimum matching of the statements of column A and Column B .

    Remarks It should be noted that if two lines are not parallel then they intersect.Thus two lines in a plane are either parallel or intersecting.

    If two line segments do not intersect, they are parallel.

    There is a set of m parallel lines intersecting a set of another n parallel lines in a plane. The number of parallelograms formed,is

    25 lines are drawn in a plane such that no two of them are parallel and no three of them are concurent. The number of points in which these lines intersect, is