Q5 of 29 Page 11

Answer the following questions.

i. If A - B - C and d(A,C) = 17, d(B,C) = 6.5 then d (A,B) = ?


ii. If P - Q - R and d(P,Q) = 3.4, d(Q,R)= 5.7 then d(P,R) = ?

i. Given: d(A,C) = 17, d(B,C) = 6.5


We know that


For any three-distinct collinear points P, Q and R, the point Q is said to be in between P and R if


d (P, Q) + d (Q, R) = d (P, R)


So, here, d(A, C) = d(A, B) + d(B,C)


⇒ d(A, B) = d(A, C) – d(B, C) = 17 – 6.5 = 10.5


So, d(A, B) = 10.5.


ii. Given: d(P,Q) = 3.4, d(Q,R)= 5.7


We know that


For any three-distinct collinear points P, Q and R, the point Q is said to be in between P and R if


d (P, Q) + d (Q, R) = d (P, R)


So, here, d(P, R) = d(P, Q) + d(Q, R) = 3.4 + 5.7 = 9.1


So, d(P, R) = 9.1.


More from this chapter

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i. 3, 6 ii. - 9, - 1


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vii. 80, - 85

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Co-ordinate of point P on a number line is - 7. Find the co-ordinates of points on the number line which are at a distance of 8 units from point P.

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Co-ordinate of point A on a number line is 1. What are the co-ordinates of points on the number line which are at a distance of 7 units from A?

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Write the following statements in conditional form.

i. Every rhombus is a square.


ii. Angles in a linear pair are supplementary.


iii. A triangle is a figure formed by three segments.


iv. A number having only two divisors is called a prime number.