Solve the following :

4. 5. From an external point P, two tangents are drawn to the parabola x=-8y. If chord of contact of these tangents is tangential to the circle x + y = 4, then locus of P will be a hyperbola length of whose transeverse axis is? All the face cards from a pack of 52 playing cards are removed. From the remaining pack half of the cards are randomly removed whithout looking at them and then randomly drawn two cards simultaneously from the remaining. If the probability that, two cards drawn are both aces, is P (38 C20) then the value of p is? 40 C20 20C2 .