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If kx ^(2)-4x+3k + 1 gt 0 for atleast on...

If `kx ^(2)-4x+3k + 1 gt 0` for atleast one `x gt 0,` then if `k in S` contains :

A

`(1,oo)`

B

` (0,oo)`

C

` (-1, oo)`

D

` (-(1)/(4), oo)`

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The correct Answer is:
To solve the inequality \( kx^2 - 4x + (3k + 1) > 0 \) for at least one \( x > 0 \), we need to analyze the quadratic expression. ### Step 1: Identify the coefficients The quadratic expression can be written in the standard form \( Ax^2 + Bx + C \), where: - \( A = k \) - \( B = -4 \) - \( C = 3k + 1 \)
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VIKAS GUPTA (BLACK BOOK) ENGLISH-QUADRATIC EQUATIONS -EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
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