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The points (3, 4), (11, 10) and (5, 11/2) are

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The points (3, 4), (11, 10) and (5, 11/2) are

(a) collinear 

(b) vertices of an equilateral triangle 

(c) vertices of isosceles triangle 

(d) vertices of scalene triangle.

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1 Answer

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(a) collinear

Let the points be P (3, 4), Q (11, 10) and R \(\big(5,\frac{11}2\big)\)

Clearly, 

PR + QR = \(\frac52+\frac{15}{2}\) = 10 units = PQ 

Hence, the points P, R and Q are collinear.

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