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JEE Math Practice Question

If the circles x2 + y2 + 5Kx + 2y + K = 0 and 2(x2 + y2) + 2Kx + 3y –1 = 0, (K$$ \in $$R), intersect at the points P and Q, then the line 4x + 5y – K = 0 passes through P and Q, for :

  1. A.exactly two values of K
  2. B.no value of K
  3. C.exactly one value of K
  4. D.infinitely many values of K

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