If the circles x2+y2+5Kx+2y+K=0 and 2(x2+y2)+2Kx+3y−1=0 , ( K∈R ), intersect at points P and Q, then the line 4x+5y−K=0 passes through P and Q for : [JEE-MAIN ONLINE-2]
(1) exactly two values of K
(2) exactly one value of K
(3) no value of K.
(4) infinitely many values of K