InterviewSolution
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InterviewSolution
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The straight lines represented by `(y-m x)^2=a^2(1+m^2)`and `(y-n x)^2=a^2(1+n^2)`from arectangle(b) rhombustrapezium(d) none of theseA. ractangleB. trapeziumC. rhombusD. none of these |
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Answer» Correct Answer - C The equations of the straight lines represebted by the two equations are `{:(y=mx+asqrt(1+m^(2))" ...(i) "y=mx-asqrt(1+m^(2))" ...(ii)"),(y-nx+asqrt(1+n^(2))" ...(iii) "y-nx-asqrt(1+n^(2))" ...(iv)"):}` Clearly, we have two sets of parallel straight lines. So, they form a parallelogram. Also, the distance between (i) and (ii) is same as the distance between (iii) and (iv) each equal to `2|a|`. So, the given lines form a rhombus. |
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