InterviewSolution
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InterviewSolution
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The straight lines represented by `(y-mx)^(2)=a^(2)(1+m^(2))and(y-nx)^(2)=a^(2)(1+n^(2))`form aA. rectangleB. rhombusC. trepeziumD. None of these |
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Answer» Correct Answer - 2 The straight lines represented by `(y-mx)^(2)=a^(2)(1+m^(2))` are `y-mx=+-asqrt(1+m^(2))` i.e., `y-mx=asqrt(1+m^(2))` (1) and `y-mx=-asqrt(1+m^(2))` (2) Similarly , the straight lines representd by `(y-nx)^(2)=a^(2)(1+n^(2))` are `y-nx=asqrt(1+n^(2))` (3) and ` y-nx=-asqrt(1+n^(2))` (4) Since the lines (1) and (2) are parallel , the distance between thems is `|(asqrt(1+m^(2))+asqrt(1+m^(2)))/(sqrt(1+m^(2)))| =|2a|` Similarly , the lines (3) and (4) are parallel lines and the distance between them is `|2a|` . Since the distances between parallel lines are the same , the four lines form a rhombus. |
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