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If  α,β  are roots of ax+ bx + c = 0 ; α + h and  β + h are roots of px+ qx + r = 0 and D1 , D2 are their discriminants, then D1 : D2 =

(a)  a2/p2

(b)  b2/q2

(c)  c2/r2

(d)  None of these

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Best answer

Correct option   (a) a2/p2

Explanation:

α – β  = (α + h)–(β + h) 

 (α – β)2 = ((α + h)+(β + h))2 

(α +  β)2 – 4α β = ((α + h)–(β + h))2 – 4(α + h)(β + h)

(-b/a)2 - 4c/a

 = (-q/p)2 - 4r/p

b2 - 4ac/a2 = q2 - 4ar/p2

D1/D2 = a2/p2

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