Question & Answer » Mathematics Questions » The Circle x2 + y2 = 5 Meets the Parabola y2 = 4x at P and Q Then the Length of PQ is Equal to

The Circle x2 + y2 = 5 Meets the Parabola y2 = 4x at P and Q Then the Length of PQ is Equal to

Answer:

  • Solving x² +y² = 5 and y² = 4x simultaneously we get the value of x = 1 and -5 but we cannot take positive value so x = 1. 
  • Now y = 2, -2.
  • P = (1,2) and Q = (1,-2)
  • By distance formula we have PQ = 4.