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

Home » 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)

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 - 56

Line is passing through the point

$\left( 1,\text{ }0 \right),SO,$

$\left( 0\text{ }\text{ }1 \right)\text{ }\left( 1\text{ }+\text{ }1 \right)\text{ }=\text{ }c\left( 1 \right)$

$\Rightarrow c\text{ }=\text{ }2$

HENCE,

required solution is

$\left( y\text{ }\text{ }1 \right)\text{ }\left( x\text{ }+\text{ }1 \right)\text{ }=\text{ }2x.$

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