A curve is given by the equations If the tangent at P where meets the curve again at Q, then [PQ] is, where [ . ] represents the greatest integer function _____
Also, the point P for
Equation of tangent is
(1)
This meets the curve whose Cartesian equation on eliminating
is
(2)
Solving (1) and (2) we get
Hence, P is (2, 1) as given and Q is . Therefore,
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Suppose a, b, c are such that the curve is and is also tangent to Then the value of equals _____
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