Please answers the questions handwritten

4. For a hyperbola in standard form: 62 = 1, a, b > 0 the constant a is called the semifocal axis and b is the semiconjugate aris. Show that the distances of a point P(x, y) on the hyperbola from the two foci (tc, 0) are Ex Fa and hence show that the absolute value of their difference is constant. 5. Write down a polar equation for a conic section with eccentricity e = >, focus at the pole and directrix x = -1. Note that the formula is slightly different when the directrix r = d has d