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प्रश्न
Find the separate equation of the line represented by the following equation:
10(x + 1)2 + (x + 1)(y - 2) - 3(y - 2)2 = 0
उत्तर
10(x + 1)2 + (x + 1)(y - 2) - 3(y - 2)2 = 0 ....(1)
Put x + 1 = X and y - 2 = Y
∴ (1) becomes
10X2 + XY - 3Y2 = 0
10X2 + 6XY - 5XY - 3Y2 = 0
2X(5X + 3Y) - Y(5X + 3Y) = 0
(2X - Y)(5X + 3Y) = 0
5X + 3Y = 0 and 2X - Y = 0
5X + 3Y = 0
5(x + 1) + 3(y - 2) = 0
5x + 5 + 3y - 6 = 0
∴ 5x + 3y - 1 = 0
2X - Y = 0
2(x + 1) - (y - 2) = 0
2x + 2 - y + 2 = 0
∴ 2x - y + 4 = 0
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