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Euclid's Elements

Two lines dra...

Question

Two lines drawn in a plane always intersect at a point.

A

False

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B

True

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Solution

The correct option is A
False

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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.

Two distinct lines always intersect in a point. True or False?

Two lines in a plane always intersect each other.

Q. When a circle and a line are in a plane, they will always have only two points of intersection.

If two lines intersect at a point, then the vertically opposite angles are always _____________.

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