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Point, Lines, Plane and Solids

The minimum n...

Question

The minimum number of points of intersection of three lines in a plane is:

A

$3$

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B

$2$

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C

$1$

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D

$0$

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Solution

The correct option is D
$0$

The minimum number of points of intersection of three lines in a plane is zero, because if these three lines are parallel then no point of intersection is present in them.
Hence, option (D) is correct.

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Q. With the help of a figure, find the maximum and minimum number of points of intersection of four lines in a plane.

Q. State which of the following statements are true (T) and which are false (F).

(i) Point has a size because we can see it as a thick dot on paper.
(ii) By liens in geometry, we mean only straight lines.
(iii) Two lines in a plane always intersect in a point.
(iv) Any plane through a vertical line is vertical.
(v) Any plane through a horizontal line is horizontal.
(vi) There cannot be a horizontal line a vertical plane.
(vii) All lines in a horizontal plane are horizontal.
(viii) Two lines in a plane always intersect in a point.
(ix) If two lines intersect at a point P, then P is called the point of concurrence of the two lines.
(x) If two lines intersect at a point P, then p is called the point of intersection of the two lines.
(xi) If A,B,C and D are collinear points D, P and Q are collinear, then points A, B, C, D, P and Q are always collinear.
(xii) Two different lines can be drawn passing through two given points.
(xiii) Through a given point only one line can be drawn.
(xiv) Four points are collinear if any three of them lie on the same line.
(xv) The maximum number of points of intersection of three lines is three.
(xvi) The minimum number of points of intersection of three lines is one.

Q. What is the maximum number of points of intersection of three lines in a plane? What is the minimum number?

Q. The minimum number of points of intersection of three lines in a plane is
(a) 1
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