Quantitative Aptitude – Circle – Let C be a circle of radius 5 meters having center


Slot – 2 – Quantitative Aptitude – Circle – Let C be a circle of radius 5 meters having center


Q. Let C be a circle of radius 5 meters having center at O. Let PQ be a chord of C that passes through points A and B where A is located 4 meters north of O and B is located 3 meters east of O. Then, the length of PQ, in meters, is nearest to ?
  1. 8.8
  2. 7.8
  3. 7.2
  4. 6.6
Answer: 1

Solution:
As per question,
quant slot 2 que
9×1=x(5+y ) and 8×2=y(x+5)
9/x = 5 + y
16 /(x+5) = y
So 9/x = 5 + 16/(x+5)
9/x = (5x + 41)/(x+5)
9x + 45 = 5x^2 + 41x
5x^2 + 32x – 45 = 0


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