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The figure formed by the lines a x+-y+-c...

The figure formed by the lines `a x+-y+-c=0` is a. a rectangle b. a square c. a rhombus d. none of these

Text Solution

Verified by Experts

The given line can be written 4 manner:

`a x+b y+c=0 ldots(1)`

`a x+b y-c=0 ldots(2)`

`a x-b y-c=0 ldots (3)`

`a x-b y-c=0 ldots(4)`

[# XI_RD_23_365]

From graph its clear,

` AB = BC = CD = DA = sqrt{frac{a^{2}}{c^{2}}+frac{b^{2}}{c^{2}}}=sqrt{frac{a^{2}+b^{2}}{|c|}}`

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