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A curve is given by the equations . If the tangent at  where  meets the curve again at , then  is, where  represents the greatest integer function


Question ID - 153414 :-

A curve is given by the equations . If the tangent at  where  meets the curve again at , then  is, where  represents the greatest integer function

1 Answer
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Answer Key : (3) -

(3)

 at

Also the point  for  is (2, 1)

Equation of tangent is

or       (1)

This meets the curve whose Cartesian equation on eliminating  by is

(2)

Solving (1) and (2), we get

Hence  is (2,1) as given and  is



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