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Question
The only value of k for which the quadratic polynomial kx2 + x + k has equal zeros is `1/2`
Options
True
False
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Solution
This statement is False.
Explanation:
It is given that the quadratic polynomial kx2 + x + k has equal zeroes.
∴ b2 – 4ac = 0
i.e., discriminant is zero
`\implies` (1)2 – 4(k)(k) = 0
`\implies` 1 – 4k2 = 0
`\implies` 4k2 = 1
`\implies` k = `1/4`
`\implies` k = `+- 1/2`
So, for two values of k, given quadratic polynomial has equal zeroes.
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