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Let α/(α–1) and β/(β–1) be the roots of x^2 + ax + b = 0. Then 1/a and 1/b are the roots of

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Let α/(α–1) and β/(β–1) be the roots of x2 + ax + b = 0. Then 1/a and 1/b are the roots of

(a)   bx2 + ax + 1 = 0

(b)  bx2 – ax + 1 = 0

(c)  bx2 + (a + 2b)x + a + b + 1 = 0

(d)  bx2 – (a + 2b) x + a + b + 1 = 0

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Correct option  (d) bx2 – (a + 2b) x + a + b + 1 = 0

Explanation:

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