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Grade: 11

                        

If a,b are roots of quadratic equation x^2+px+q=0 and c,d are roots of x^2+px-r=0 , then (a-c)(a-d) is equal to (A)q+r (B)q-r (C)-(q+r) (D)-(p+q+r)

2 years ago

Answers : (1)

Deepak Kumar Shringi
askIITians Faculty
4402 Points
							as a is root of equation (i) it will satisfy it so
a2+ap+q=0
a2+ap=-q....(A)
c+d=-p....(I)
cd=-r..(ii)
(a-c)(a-d)
=a2-(c+d)a+cd {now use (i) & (ii)}
=a2+ap-r {now use (A)}
=-q-r option C is correct

2 years ago
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