Question

Points P ,Q and R are coplanar. in which of these following cases will they necessarily be collinear?

A.)When PQ=PR
B.)When PQ +PR> QR
C.)When PQ+QR = PR
D.)When PR < PQ+QR

Answer 1

Answer:

Option (C) When PQ + QR = PR

Step-by-step explanation:

Since points P, Q and R are coplanar, if we join these points then they will form a triangle whose sides will be PQ, QR and PR.

Since the sum of any two sides of a triangle is greater than the third side, options (B) and (C) indicate that the traingle formed by the points P, Q and R satisfy this condition

Option (A) only indicates that two sides of this triangle are equal

Option (C) indicates that the sum of the two sides of the triangle is equal to the third side which is possible only when the points forming the triangle are collinear. In this case, the area of such triangle will be zero.

Therefore, option (C) is correct.

Hope this answer was helpful.

Answer 2

Answer:

PQ+QR=PR is the answer