JEE MATHEMATICS MCQ: TRANSFORMATION OF AXES

1 Easy

1 of 1

Application +4 | -1

If by shifting the origin at

\left( {1,\;1} \right)

the coordinates of a point

P

become

\left( {\cos \theta ,\cos \phi } \right),

then the original coordinates of

P

were

View answer and explanation

Correct option: A

\left( {2{{\cos }^2}\mathrm{\theta }/2,\;2{{\cos }^2}\phi /2} \right)

Option A

\left( {2{{\cos }^2}\mathrm{\theta }/2,\;2{{\cos }^2}\phi /2} \right)

is correct because it represents the original coordinates of P after shifting the origin back, using the identity

1 + \cos \theta = 2{\cos ^2}(\theta /2)

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