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The Roots of the Equation `Ax^2+Bx+C=0` Will Be Reciprocal Each Other If (A)A=B (B)B=C (C)=A (D)= None of These - Mathematics

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Question

The roots of the equation `ax^2+bx+c=0` will be reciprocal each other if 

(a)a=b (b)b=c (c)=a (d)= none of these 

Solution

(c) c = a 

Let the roots of the equation `(ax^2+bx+c) be α and 1/α` 

∴ Product of the roots =`αxx1/α=1` 

⇒ `c/a=1` 

⇒` c=a`

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Chapter 10: Quadratic Equations - Exercises 6

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RS Aggarwal Mathematics [English] Class 10
Chapter 10 Quadratic Equations
Exercises 6 | Q 15

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