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Mathematics - Straight Lines Question with Solution | TestHub

MathematicsStraight LinesGeneral (Standard forms)Medium2 minQB

MathematicsMediumsingle choice

If $h$ denote the A.M, $k$ denote G.M of the intercepts made on axes by the lines passing through $(1, 1)$ then $(h, k)$ lies on

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Solution:

$a = x$ -intercept, $b = y$ -intercept. $2 h = a + b, k^{2} = ab . \frac{x}{a} + \frac{y}{b} = 1$ , substitute $(1, 1) : \frac{1}{a} + \frac{1}{b} = 1 \Rightarrow$ $a + b = ab .2 h = k^{2} \Rightarrow y^{2} = 2 x$ .

Stream:JEESubject:MathematicsTopic:Straight LinesSubtopic:General (Standard forms)

⏱ 2mℹ️ Source: QB

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