Q16 of 66 Page 106

Prove that two distinct lines cannot have more than one point in common.

Suppose lines “l” and “m” intersect at two points P and Q. Then, line P must contain both the points P and Q.

Also, line m must contain both the points P and Q.

But only one line can pass through two different points.

Thus, the assumption we started with that two lines can pass through two distinct point is wrong.

Is D the mid-point of the line segment AB?

It is given that

I.AE=CB II.DE=CD

HINT (I)-(II) gives (AE-DE) = (CB-CD) AD=DB

Given 4 distinct points in a plane. How many lines can be drawn using them, when

(A) all the 4 points are collinear?

(B) When no three of the four lines are collinear?

Let us define a statement as the sentence which can be judged to be true or false.

Which of the following is not a statement?

(A) 3+5=7.

(B Kunal is a tall boy.

(C)The sum of the angles of a triangle is 90°.

(D)The angles opposite to equal sides of a triangle are equal.

State Euclid’s axioms.