English

If one root of the equation 3x^2 – 10x + 3 = 0 is 1/3 then the other root is ______. (a) (–1)/3 (b) 1/3 (c) –3 (d) 3

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Question

If one root of the equation 3x2 – 10x + 3 = 0 is `1/3` then the other root is ______.

Options

  • `(-1)/3`

  • `1/3`

  • –3

  • 3

MCQ
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Solution

If one root of the equation 3x2 – 10x + 3 = 0 is `1/3` then the other root is 3.

Explanation:

Given: 

3x2 – 10x + 3 = 0

One root of the equation is `1/3`.

Let the other root be a. 

Product of the roots = `c/a` 

⇒ `1/3 xx α = 3/3` 

⇒ a = 3 

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Chapter 4: Quadratic Equations - TEST YOURSELF [Page 238]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 4 Quadratic Equations
TEST YOURSELF | Q 9. | Page 238
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