Mathematics - Straight Lines Question with Solution | TestHub

MathematicsStraight LinesGeneral (Standard forms)Medium2 minQB

MathematicsMediuminteger

If $A = (0, 2), B = (5, 10)$ are two points. If P is a Point on x -axis, then, the sum of the digits in the minimum value of $AP + PB$ , is

Answer:

Solution:

If $P = (x, 0)$ , then $A P + PB = f (x) = x^{2} + 2^{2} + (x - 5)^{2} + 1 0^{2}$ $\Rightarrow x = \frac{5}{6}$ is a point of minima ∴ min imum value of $f (x) = \frac{169}{36} + \frac{625 + 3600}{36} = \frac{13}{6} + \frac{65}{6} = \frac{78}{6} = 13$

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

⏱ 2mℹ️ Source: QB

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