If First Degree Terms And Constant Term Are To Be Removed From The Equation , Then The Origin Must Be Shifted At The Point

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Question

If first degree terms and constant term are to be removed from the equation , then the origin must be shifted at the point

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Solution

Correct option is

(1, –1)

We have,

This equation represents a The Pair of Straight Lines. In order to remove the first degree terms and the constant term, we must shift the origin at their point of intersection whose coordinates are obtained by solving

Clearly, x = 1, y = –1 satisfies these equations.

Hence, the required point is (1, –1).