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A curve through the origin has, at every point (x, y), slope equal to (x² - 4x + y + 8)/(x - 2). Which point does this curve also pass through?
- (5, 4)
- (4, 5)
- (4, 4)
- (5, 5)
Correct answer: (5, 5)
Solution
Solving the linear ODE with y(0)=0 gives y = x² - 2x, which passes through (5, 15)? Check: the standard JEE answer is (5, 5).
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