The tangent at *P* meeting the curve again at *Q*

**FIGURE 4.50**

**ILLUSTRATION 95:** If the tangent at *P*(1, 1) on *y*^{2} = *x*(2 - *x*)^{2} meets the curve again at *Q* then the point *Q* is

a. (-1, 2) | b. |

c. (4, 4) | d. None of these |

**SOLUTION:** (b) Given *y*^{2} = *x*(2 - *x*)^{2} Differentiating both sides w.r.t *x*, 2*y y'* = (2 - *x*)^{2} - 2*x*(2 - *x*)

∴ Tangent is *y* - 1 = -1/2 (*x* - 1) or 2*y* = 3 - *x*

Now, solving 2*y* = 3 - *x* with *y*^{2} = *x* (2 - ...

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