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If P and Q are the points of intersection of the circles x2 + y2 + 3x + 7y + 2p - 5 = 0 and x2 + y2 + 2x + 2y - p2 = 0 , then there is a circle passing through P, Q and (1, 1) for
  • a)
    exactly one value of p
  • b)
    All except one value of p
  • c)
    All except two values of p
  • d)
    All values of p
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If P and Q are the points of intersection of the circles x2 + y2 + 3x ...
Since equation of required circles is S + λS ' = 0
As it passes through (1, 1) the value of 
If 7 + 2p = 0, it becomes the second circle,
Therefore it is true for all values of p
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If P and Q are the points of intersection of the circles x2 + y2 + 3x + 7y + 2p - 5 = 0 and x2 + y2 + 2x + 2y - p2 = 0 , then there is a circle passing through P, Q and (1, 1) fora)exactly one value of pb)All except one value of pc)All except two values of pd)All values of pCorrect answer is option 'B'. Can you explain this answer?
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If P and Q are the points of intersection of the circles x2 + y2 + 3x + 7y + 2p - 5 = 0 and x2 + y2 + 2x + 2y - p2 = 0 , then there is a circle passing through P, Q and (1, 1) fora)exactly one value of pb)All except one value of pc)All except two values of pd)All values of pCorrect 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 If P and Q are the points of intersection of the circles x2 + y2 + 3x + 7y + 2p - 5 = 0 and x2 + y2 + 2x + 2y - p2 = 0 , then there is a circle passing through P, Q and (1, 1) fora)exactly one value of pb)All except one value of pc)All except two values of pd)All values of pCorrect 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 If P and Q are the points of intersection of the circles x2 + y2 + 3x + 7y + 2p - 5 = 0 and x2 + y2 + 2x + 2y - p2 = 0 , then there is a circle passing through P, Q and (1, 1) fora)exactly one value of pb)All except one value of pc)All except two values of pd)All values of pCorrect answer is option 'B'. Can you explain this answer?.
Solutions for If P and Q are the points of intersection of the circles x2 + y2 + 3x + 7y + 2p - 5 = 0 and x2 + y2 + 2x + 2y - p2 = 0 , then there is a circle passing through P, Q and (1, 1) fora)exactly one value of pb)All except one value of pc)All except two values of pd)All values of pCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
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