A, B and C are three collinear points such that point A lies between B and C.
Identify all the line segments determined by these points and write the relation between them.

B A - A C = B C

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B A + A C = B C

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B C + A C = B A

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A C - B A = B C

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Solution

The correct option is B $B A + A C = B C$
According to figure,
BA, AC & BC and BA+AC=BC

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Similar questions

A,B and C are three collinear points such that A lies between B and C.

Name all the line segments determined by these points and write the relation between them.

a, b,

c

(a b + b c) (- c b + b a) + (b c + c a) (- a c + c b) + (c a + a b) (a c - b a)

∣ ∣ ∣ ∣ ∣ \begin{matrix} b c - a^{2} & c a - b^{2} & a b - c^{2} - b c + c a + a b & b c - c a + a b & b c + c a - a b (a + b) (a + c) & (b + c) (b + a) & (c + a) (c + b) \end{matrix} ∣ ∣ ∣ ∣ ∣ = 3. (b - c) (c - a) (a - b) (a + b + c) (a b + b c + c a)

C

A

B

A C = B C

A C = \frac{1}{2} A B

If B lies on line AC and points A, B and C are distinct such that, AB + BC = AC, then

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