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If the equation 4x^2 – 3kx + 1 = 0 has equal roots then k = ? (a) ± 2/3 (b) ± 1/3 (c) ± 3/4 (d) ± 4/3

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Question

If the equation 4x2 – 3kx + 1 = 0 has equal roots then k = ?

Options

  • `± 2/3`

  • `± 1/3`

  • `± 3/4`

  • `± 4/3`

MCQ
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Solution

`bb(± 4/3)`

Explanation:

It is given that the roots of the equation (4x2 – 3kx + 1 = 0) are equal. 

∴ (b2 – 4ac) = 0 

⇒ (3k)2 – 4 × 4 × 1 = 0 

⇒ 9k2 = 16 

⇒ `k^2 = 16/9` 

⇒ `k = ± 4/3`

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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 19. | Page 239
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