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If the roots of the equation ax^2 + bx + c = 0 are equal then c = ? (a) (–b)/(2a) (b) b/(2a) (c) (–b^2)/(4a) (d) (b^2)/(4a)

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Question

If the roots of the equation ax2 + bx + c = 0 are equal then c = ?

Options

  • `(-b)/(2a)`

  • `b/(2a)`

  • `(-b^2)/(4a)`

  • `(b^2)/(4a)`

MCQ
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Solution

`bb((b^2)/(4a))`

Explanation:

It is given that the roots of the equation (ax2 + bx + c = 0) are equal. 

∴ (b2 – 4ac) = 0 

⇒ b2 = 4ac 

⇒ `c = (b^2)/(4a)`

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Chapter 4: Quadratic Equations - TEST YOURSELF [Page 239]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 4 Quadratic Equations
TEST YOURSELF | Q 16. | Page 239
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