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Tangents drawn from the point P(1, 8) to the circle x2 + y2 –6x– 4y –11 = 0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB is (2009)
  • a)
    x2 + y2 + 4x– 6y +19 = 0
  • b)
    x2 + y2 – 4x – 10y + 19 = 0
  • c)
    x2 + y2 – 2x + 6y – 29 = 0
  • d)
    x2 + y2 – 6x – 4y +19 = 0
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Tangents drawn from the point P(1, 8) to the circle x2 + y2 –6x&...
Tangents PA and PB are drawn from the point P (1, 3) to circle x2 + y2 - 6 x - 4y - 11=0 with centre C (3, 2)
Clearly the circumcircle of ΔPAB will pass through C and as ∠A = 90°, PC must be a diameter of the circle.
∴ Equation of required circle is (x -1)(x - 3) + (y-8)(y - 2)= 0
⇒ x2 + y2 - 4x - 10y + 19= 0
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Tangents drawn from the point P(1, 8) to the circle x2 + y2 –6x– 4y –11 = 0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB is (2009)a)x2 + y2 + 4x– 6y +19 = 0b)x2 + y2 – 4x – 10y + 19 = 0c)x2 + y2 – 2x + 6y – 29 = 0d)x2 + y2 – 6x – 4y +19 = 0Correct answer is option 'B'. Can you explain this answer?
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Tangents drawn from the point P(1, 8) to the circle x2 + y2 –6x– 4y –11 = 0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB is (2009)a)x2 + y2 + 4x– 6y +19 = 0b)x2 + y2 – 4x – 10y + 19 = 0c)x2 + y2 – 2x + 6y – 29 = 0d)x2 + y2 – 6x – 4y +19 = 0Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Tangents drawn from the point P(1, 8) to the circle x2 + y2 –6x– 4y –11 = 0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB is (2009)a)x2 + y2 + 4x– 6y +19 = 0b)x2 + y2 – 4x – 10y + 19 = 0c)x2 + y2 – 2x + 6y – 29 = 0d)x2 + y2 – 6x – 4y +19 = 0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Tangents drawn from the point P(1, 8) to the circle x2 + y2 –6x– 4y –11 = 0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB is (2009)a)x2 + y2 + 4x– 6y +19 = 0b)x2 + y2 – 4x – 10y + 19 = 0c)x2 + y2 – 2x + 6y – 29 = 0d)x2 + y2 – 6x – 4y +19 = 0Correct answer is option 'B'. Can you explain this answer?.
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