JEE MATHEMATICS MCQ: TRANSFORMATION OF AXES

1 Easy

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Analyzing +4 | -1

(x, y)

and

(X, Y)

be the coordinates of the same point referred to two sets of rectangular axes with the same origin and if

a x+b y

becomes

p X+q Y

, where

a, b

are independent of

x, y

, then

View answer and explanation

Correct option: B

a^2+b^2=p^2+q^2

Option B is correct. By using the rotation of axes formulas and comparing coefficients, it can be shown that a² + b² = p² + q².

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