A and B are points on a straight line- C and D are points on a different line- The points P and Q are common to both the lines AB and CD - Which of the following statements is false-A- Points P and Q are two distinct pointsB- Points P and Q are coincident - that is- they represent the same pointC- Lines A B and C D are not parallelD- Point A- P and B lie on the same straight line

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Angle Sum Property

A and B are p...

Question

A and B are points on a straight line. C and D are points on a different line. The points P and Q are common to both the lines $\leftarrow \to A B$ and $\leftarrow \to C D$ . Which of the following statements is false?

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Points P and Q are coincident – that is, they represent the same point

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Point A, P and B lie on the same straight line

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Points P and Q are two distinct points

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Solution

The correct option is D
Points P and Q are two distinct points

When two lines intersect, they can do so in only one point – i.e. there shall be only one point of intersection for the lines.

In this question, since its given that the lines intersect in two points P and Q, this can happen only if they are the same point – we call such points coincident points.

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A and B are points on a straight line. C and D are points on a different line. The points P and Q are common to both the lines ←→AB and ←→CD. Which of the following statements is false?

A and B are points on a straight line. C and D are points on a different line. The points P and Q are common to both the lines $\leftarrow \to A B$ and $\leftarrow \to C D$ . Which of the following statements is false?