Given that, equation of line and hyperbola are x+y=√2p ........(i) and 4x2−9y2=36 .....(ii) Condition of any line to touch any hyperbola is c2=a2m2−b2 .......(iii) From Eqs. (i) and (ii), we have m=−1,c=√2p,a2=9,b2=4 ∴c2=a2m2−b2 ⇒(√2p)2=9×(−1)2−4 ⇒2p2=9−4⇒2p2=5