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TS EAMCET · Maths · Circle

The area of a circle having the lines 3 x-4 y+4=0 and 6 x-8 y-7=0 as two of its tangents, is

  1. A 9π4
  2. B 9π16
  3. C 3π4
  4. D 3π16
Verified Solution

Answer & Solution

Correct Answer

(B) 9π16

Step-by-step Solution

Detailed explanation

Given equations of parallel tangents are 3x-4y+4=0  or 6x-8y+8=0 ...1  & 6x-8y-7=0    ...2 ∴ Distance between two parallel tangents = Diameter of the circle. ⇒ 8--762+82=d ⇒ 1510=d ∴ d=32…