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TS EAMCET · Maths · Circle

If the circle x2+y2-6x+2y=28 cuts off a chord of length λ units on the line 2x-5y+18=0, then the value of λ is

  1. A 3
  2. B 6
  3. C 12
  4. D 9
Verified Solution

Answer & Solution

Correct Answer

(B) 6

Step-by-step Solution

Detailed explanation

Circle: x2+y2-6x+2y-28=0 Centre O(3,-1), Radius r=-32+12--28 units =38 units Since, OD⊥AB So, OD=2·3-5·-1+1822+-52 units =29 units Now, in ∆OAD AD2=r2-OD2 (By Pythagoras Theorem) =38-29=9 ⇒AD=3 units Since perpendicular from centre of circle to a…