Question bank/JEE Main/Mathematics

JEE MainMathematicsModerateStraight Lines

The new position of the point (1, 2) under rotation through an
angle of 90º about the origin in anticlockwise direction is

fcUnq (1, 2) fLFkfr lfn'k gksxsa tcfd bl fcUnq dks ewy fcUnq

okekorZ fn'kk

Show answer and solution
h=5cos(90∘+θ)=−5sinθ=−2h = \sqrt{5}cos\left( 90^{\circ} + \theta \right) = - \sqrt{5}sin\theta = - 2
k=5sin(90∘+θ)=5cosθ=1k = \sqrt{5}sin\left( 90^{\circ} + \theta \right) = \sqrt{5}cos\theta = 1

Source: Grass-G / M-25 Mathematics Paper 7 Jan.docx

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