Mathematics - Straight Lines Question with Solution | TestHub

MathematicsStraight LinesGeneral (Standard forms)Medium2 minQB

MathematicsMediuminteger

Coordinate of any point ' P ' are ( 4,5 ). If A and B are variable points on straight lines $y = x$ and $y = 2 x$ respectively. Then find minimum value of

10( PA + PB + AB )²

Answer:

164

Solution:

Reflection of $(4, 5)$ w.r.t. lines $y = x y = 2 x$ are $(5, 4)$ and $(\frac{8}{5}, \frac{31}{5})$ respectively minimum of

$P A + PB + A B = distance between (5, 44) and (\frac{8}{5}, \frac{31}{5}) = 16.4$

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

⏱ 2mℹ️ Source: QB

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