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If One Root of `5x^2+13x+K=0` Be the Reciprocal of the Other Root Then the Value of K Is `(A)0 (B)1 (C)2 (D)5` - Mathematics

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प्रश्न

If one root of `5x^2+13x+k=0`  be the reciprocal of the other root then the value of k is  

`(a)0   (b)1   (c)2   (d)5` 

 

उत्तर

Let the roots of the equation `-2/3`  be  α  and  `1/α ` 

∴ Product of the roots  = `c/a` 

⇒ `αxx1/α=k/5` 

⇒ `a=k/5` 

⇒ `k=5` 

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पाठ 10: Quadratic Equations - Exercises 6

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आर एस अग्रवाल Mathematics [English] Class 10
पाठ 10 Quadratic Equations
Exercises 6 | Q 10

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