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Question: The straight lines represented by (y – mx)<sup>2</sup> = a<sup>2</sup> (1 + m<sup>2</sup>) and (y – ...

The straight lines represented by (y – mx)2 = a2 (1 + m2) and (y – nx)2 = a2 (1 + n2) form a-

A

Rectangle

B

Trapezium

C

Rhombus

D

None of these

Answer

Rhombus

Explanation

Solution

y – mx = ± a; y – nx = ± a 1+n2\sqrt { 1 + \mathrm { n } ^ { 2 } }

These are set of parallel line and distance betweenparallel lines are equal. So figure is rhombus.