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Number of triangle ABC /_B=90^(@) such that point B is vertex and A & C are point of zeros of a Quadratic expressioni y=ax^(2)+bx+c where b is an odd integer & a,cepsilonz, is

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SOLUTION :Consider `y=ax^(2)+bx+c`
Slope of `BA` Slope of `BC=-1`

`(D/(4a))/(x_(1)+b/(2a)).(D/(4a))/(x_(2)+b/(2a))=-1`
`implies(D^(2))/(16A^(2))+(b^(2))/(4a^(2))+(x_(1)+x_(2)) b/(2a)+x_(1)x_(2)=0`
`implies(D^(2))/(16a^(2))+(b^(2))/(4a^(2))-b/a(b/(2a))+c/a=0`
`impliesD=0` or `4`


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