Let the arithmetic mean of $\frac{1}{a}$ and $\frac{1}{b}$ be $\frac{5}{16}, a2$. If $\alpha$ is such that $a, 4, \alpha, b$ are in A.P., then the equation $\alpha x^2-a x+2(\alpha-2 b)=0$ has:

Question

Let the arithmetic mean of $\frac{1}{a}$ and $\frac{1}{b}$ be $\frac{5}{16}, a>2$. If $\alpha$ is such that $a, 4, \alpha, b$ are in A.P., then the equation $\alpha x^2-a x+2(\alpha-2 b)=0$ has:

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Let the arithmetic mean of \(\frac{1}{a}\) and \(\frac{1}{b}\) be \(\frac{5}{16}, a>2\). If \(\alpha\) is such that \…

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Let the arithmetic mean of \(\frac{1}{a}\) and \(\frac{1}{b}\) be \(\frac{5}{16}, a&gt;2\). If \(\alpha\) is such that \…

Practice more JEE Maths PYQs

Let the arithmetic mean of \(\frac{1}{a}\) and \(\frac{1}{b}\) be \(\frac{5}{16}, a>2\). If \(\alpha\) is such that \…