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If a linear equation has solutions (-2,2)(0,0) and (2,-2), then it is of the formA. y-x=0B. x+y=0C. `-2x+y=0`D. `-x+2y=0` |
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Answer» Let us consider a linear equation ax+by+c=0 Since, `(-2),2)`, (0,0) and (2,-2) are the solutions of linear equation therefore it satisfies the Eq. (i), we get At point `(-2),2), " " -2a+2b+c=0` At point `(0,0), " " 0+0+c=0 implies c=0` and at point `(2,-2), " " 2a-2b+c=0` From Eqs. (ii) and (iii), c=0 and `-2a+2b+0=0, -2a=-2b,a=(2b)/(2) implies a=b` On putting a=b and c=0 in Eq. (i), `bx+by+0=0 implies bx+by=0` `implies " " b(x+y) =0 implies x+y=0, b ne 0` Hence, x+y=0 is the required form of the linear equation. |
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