मराठी

The equation 12x2 + 4kx + 3 = 0 has real and equal roots, if: -

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प्रश्न

The equation 12x2 + 4kx + 3 = 0 has real and equal roots, if:

पर्याय

  • k = ±3

  • k = ±9

  • k = 4

  • k = ±2

MCQ

उत्तर

k = ±3

Explanation:

Here a = 12, b = 4k, c = 3

Since the given equation has real and equal roots

∴ b2 – 4ac = 0

⇒ (4k)2 – 4 × 12 × 3 = 0

⇒ 16k2 – 144 = 0

⇒ k2 = 9

⇒ k = ±3

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