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

(1, –1)

(–1, 1)

(–1, –1)

None of these
medium
Solution
(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).
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