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Find the values of b for which the point...

Find the values of b for which the points `(2b+3, b^(2))` lies above of the line 3x-4y-a(a-2) = 0 `AA a in R`.

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To solve the problem, we need to find the values of \( b \) for which the point \( (2b + 3, b^2) \) lies above the line defined by the equation \( 3x - 4y - a(a - 2) = 0 \) for all \( a \in \mathbb{R} \). ### Step-by-Step Solution: 1. **Identify the Point and the Line**: - The point \( P \) is given as \( (2b + 3, b^2) \). - The line can be rearranged to express \( y \) in terms of \( x \): \[ ...
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