If A - B - C and d B - C -11- d A - B -21- then d A - C -A- 10B- 12C- 30D- 32

The correct option is D 32Given A B C ; that is B lies between A and C nbsp; So. d(A,B) + nbsp;d(B,C) = nbsp;d(A,C). As d(B,C) = 11 and d(A,B) = 21 ⇒ 11 ...

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Standard IX

Mathematics

Betweenness

If A - B - C ...

Question

If A - B - C and d(B,C) = 11, d(A,B) = 21, then d(A,C) = ________.

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Solution

The correct option is B 32
Given A-B-C ; that is B lies between A and C
So. d(A,B) + d(B,C) = d(A,C).
As d(B,C) = 11 and d(A,B) = 21
$\Rightarrow$ 11 + 21 = d(A,C)
$\Rightarrow$ d(A,C) = 11 + 21 = 32
$∴$ d(A,C)= 32

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Similar questions

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) = ?

Q. Prove that

∣ ∣ ∣ ∣ ∣ ∣ \begin{matrix} a & b & c & d b & a & d & c c & d & a & b d & c & b & a \end{matrix} ∣ ∣ ∣ ∣ ∣ ∣ = (a + b + c + d) (a - b + c - d) (a - b - c + d) (a + b - c - d)

If (a + b +c + d) (a -b- c+ d)

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prove that : a : b =c : d.

Q. In each of the following, decide whether the relation of betweenness exists among the points A, B and D. Name the point which lies between the other two.
(i) d(A,B) = 5, d(B,D) = 8, d(A,D) = 11
(ii) d(A,B) = 11, d(B,D) = 6, d(A,D) = 5
(iii) d(A,B) = 2, d(B,D) 15, d(A,D) = 17

Q. If O, A, B, C and D are five points, such that

3 \vec{O D} + \vec{D A} + \vec{D B} + \vec{D C} = k (\vec{O A} + \vec{O B} + \vec{O C})

then k = ________________.

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If A - B - C and d(B,C) = 11, d(A,B) = 21, then d(A,C) = ________.

The correct option is B 32Given A-B-C ; that is B lies between A and C So. d(A,B) + d(B,C) = d(A,C). As d(B,C) = 11 and d(A,B) = 21 ⇒ 11 + 21 = d(A,C) ⇒ d(A,C) = 11 + 21 = 32 ∴ d(A,C)= 32

The correct option is B 32
Given A-B-C ; that is B lies between A and C
So. d(A,B) + d(B,C) = d(A,C).
As d(B,C) = 11 and d(A,B) = 21
$\Rightarrow$ 11 + 21 = d(A,C)
$\Rightarrow$ d(A,C) = 11 + 21 = 32
$∴$ d(A,C)= 32