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Question: Points (–2, 4, 7), (3, –6, –8) and (1, –2, –2) are...

Points (–2, 4, 7), (3, –6, –8) and (1, –2, –2) are

A

Collinear

B

Vertices of an equilateral triangle

C

Vertices of an isosceles triangle

D

None of these

Answer

Collinear

Explanation

Solution

Here, (3−(−2))1−3=−6−4−2−(−6)=−8−7−2−(−8)\frac { ( 3 - ( - 2 ) ) } { 1 - 3 } = \frac { - 6 - 4 } { - 2 - ( - 6 ) } = \frac { - 8 - 7 } { - 2 - ( - 8 ) }

⇒ −52=−52=−52- \frac { 5 } { 2 } = - \frac { 5 } { 2 } = - \frac { 5 } { 2 }. Obviously, points are collinear.