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?

A point C is the

I. AC=CB.

II. C is the interior point of AB.

III. AC=CB and C is the interior point of AB.

The given statement is true only when

(A) I holds (B) II holds

(C) III holds (D) none holds

NOTE The given question is followed by two statements I and II. The answer is

(A) If the question be answered by using only one statement and not the other.

(B) If the question be answered by using either of the two statements alone.

(C) If the question be answered by using both the statements only.

(D) If the question cannot be answered even by using both of the given statements.

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

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

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.