Let the tangent to the cubic curve x 3 + y 3 = a 3 at P ( x 1 , y 1 ) meets the curve again at Q ( h , k ) . Put A = x 1 h and B = y 1 k . The value of x 1 h + y 1 k must be equal

Question

Let the tangent to the cubic curve x 3 + y 3 = a 3 at P ( x 1 ​ , y 1 ​ ) meets the curve again at Q ( h , k ) . Put A = x 1 ​ h ​ and B = y 1 ​ k ​ . The value of x 1 ​ h ​ + y 1 ​ k ​ must be equal to

TestHub · Accepted Answer

As above, A + B = − 1 ∴ x 1 ​ h ​ + y 1 ​ k ​ = A + B = − 1

Mathematics - Application of Derivative Question with Solution | TestHub

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