Mathematics - Straight Lines Question with Solution | TestHub

MathematicsStraight LinesGeneral (Standard forms)Medium2 minQB

MathematicsMediummultiple choice

Under rotation of axes through $θ, x cos α + y sin α = P$ changes to $X cos β + Y sin β = P$ then

Options:(select one or more)

Answer:

A, C

Solution:

$x cos α + y sin α = P$ . Axis rotated through angle ' $θ$ '. Transformed equation: $cos α (x cos θ -$ $y sin θ) + sin α (x sin θ + y cos θ) = P \Rightarrow x cos (α - θ) + y sin (α - θ) = P \Rightarrow x cos β + y sin β = P$ . $cos β = cos (α - θ), sin β = sin (α - θ)$ .

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

⏱ 2mℹ️ Source: QB

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