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A pair of tangents are drawn from the origin to the circle  x2 + y2+ 20 (x + y) + 20 = 0, then the equation of the pair of tangent are
  • a)
    x 2 + y2 - 5xy=0
  • b)
    x 2 + y2 + 2x + y=0
  • c)
    x 2 + y2 – xy + 7=0
  • d)
    2x 2 + 2 y2+ 5xy=0
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A pair of tangents are drawn from the origin to the circle x2 + y2+ 20...
Equation of pair of tangents is given by SS1 = T2,
or S = x2 + y2 + 20 (x + y ) + 20, S1 = 20,
T = 10 (x + y) + 20 = 0
∴ SS1 = T2
⇒ 20 (x2 + y2 + 20 (x + y ) + 20) = 102 (x + y + 2)2
⇒ 4x2 + 4y2 + 10xy = 0 ⇒ 2x2 + 2y2 + 5xy = 0
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A pair of tangents are drawn from the origin to the circle x2 + y2+ 20 (x + y) + 20 = 0, then the equation of the pair of tangent area)x 2 + y2 - 5xy=0b)x 2 + y2 + 2x + y=0c)x 2 + y2 – xy + 7=0d)2x 2 + 2 y2+ 5xy=0Correct answer is option 'D'. Can you explain this answer?
Question Description
A pair of tangents are drawn from the origin to the circle x2 + y2+ 20 (x + y) + 20 = 0, then the equation of the pair of tangent area)x 2 + y2 - 5xy=0b)x 2 + y2 + 2x + y=0c)x 2 + y2 – xy + 7=0d)2x 2 + 2 y2+ 5xy=0Correct answer is option 'D'. 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 A pair of tangents are drawn from the origin to the circle x2 + y2+ 20 (x + y) + 20 = 0, then the equation of the pair of tangent area)x 2 + y2 - 5xy=0b)x 2 + y2 + 2x + y=0c)x 2 + y2 – xy + 7=0d)2x 2 + 2 y2+ 5xy=0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A pair of tangents are drawn from the origin to the circle x2 + y2+ 20 (x + y) + 20 = 0, then the equation of the pair of tangent area)x 2 + y2 - 5xy=0b)x 2 + y2 + 2x + y=0c)x 2 + y2 – xy + 7=0d)2x 2 + 2 y2+ 5xy=0Correct answer is option 'D'. Can you explain this answer?.
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