Find the equation of the curve through the point (1, 0) if the slope of the tangent to the curve at any point (x, y) is (y

Find the equation of the curve through the point (1, 0) if the slope of the tangent to the curve at any point (x, y) is (y – 1)/ (x2 + x)

Find the equation of the curve through the point (1, 0) if the slope of the tangent to the curve at any point (x, y) is (y – 1)/ (x2 + x)

According to ques,

NCERT Exemplar Solutions Class 12 Mathematics Chapter 9 - 55

Since, the line is passing through the point (1, 0), then

\[\left( 0\text{ }\text{ }1 \right)\text{ }\left( 1\text{ }+\text{ }1 \right)\text{ }=\text{ }c\left( 1 \right)\Rightarrow c\text{ }=\text{ }2\]

Thus, the required solution is \[\left( y\text{ }\text{ }1 \right)\text{ }\left( x\text{ }+\text{ }1 \right)\text{ }=\text{ }2x.\]

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