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Let P be the point on the parabola, y2 = 8x which is at a minimum distance from the centre C of the circle, x2 + (y + 6)2 = 1.Then the equation of the circle, passing through C and having its centre at P is: [JEE M 2016]
  • a)
  • b)
    x2 + y2 – 4x + 9y + 18 = 0
  • c)
    x2 + y2 – 4x + 8y + 12 = 0
  • d)
    x2 + y2 – x + 4y – 12 = 0
Correct answer is option 'C'. Can you explain this answer?
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Let P be the point on the parabola, y2 = 8x which is at a minimum dist...
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Let P be the point on the parabola, y2 = 8x which is at a minimum dist...
Minimum distance
⇒ perpendicular distance Eqn of normal at p(2t2, 4t) y = –tx + 4t + 2t3
It passes through C(0, –6)  ⇒ t3 + 2t + 3 = 0  ⇒ t  = – 1
Centre of new circle = P(2t2 , 4t) = P(2,-4)
Radius 
∴ Equation of the circle is
⇒ x2 + y2 – 4x + 8y + 12 = 0
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Let P be the point on the parabola, y2 = 8x which is at a minimum distance from the centre C of the circle, x2 + (y + 6)2 = 1.Then the equation of the circle, passing through C and having its centre at P is: [JEE M 2016]a)b)x2 + y2 – 4x + 9y + 18 = 0c)x2 + y2 – 4x + 8y + 12 = 0d)x2 + y2 – x + 4y – 12 = 0Correct answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let P be the point on the parabola, y2 = 8x which is at a minimum distance from the centre C of the circle, x2 + (y + 6)2 = 1.Then the equation of the circle, passing through C and having its centre at P is: [JEE M 2016]a)b)x2 + y2 – 4x + 9y + 18 = 0c)x2 + y2 – 4x + 8y + 12 = 0d)x2 + y2 – x + 4y – 12 = 0Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let P be the point on the parabola, y2 = 8x which is at a minimum distance from the centre C of the circle, x2 + (y + 6)2 = 1.Then the equation of the circle, passing through C and having its centre at P is: [JEE M 2016]a)b)x2 + y2 – 4x + 9y + 18 = 0c)x2 + y2 – 4x + 8y + 12 = 0d)x2 + y2 – x + 4y – 12 = 0Correct answer is option 'C'. Can you explain this answer?.
Solutions for Let P be the point on the parabola, y2 = 8x which is at a minimum distance from the centre C of the circle, x2 + (y + 6)2 = 1.Then the equation of the circle, passing through C and having its centre at P is: [JEE M 2016]a)b)x2 + y2 – 4x + 9y + 18 = 0c)x2 + y2 – 4x + 8y + 12 = 0d)x2 + y2 – x + 4y – 12 = 0Correct answer is option 'C'. 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.
Here you can find the meaning of Let P be the point on the parabola, y2 = 8x which is at a minimum distance from the centre C of the circle, x2 + (y + 6)2 = 1.Then the equation of the circle, passing through C and having its centre at P is: [JEE M 2016]a)b)x2 + y2 – 4x + 9y + 18 = 0c)x2 + y2 – 4x + 8y + 12 = 0d)x2 + y2 – x + 4y – 12 = 0Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Let P be the point on the parabola, y2 = 8x which is at a minimum distance from the centre C of the circle, x2 + (y + 6)2 = 1.Then the equation of the circle, passing through C and having its centre at P is: [JEE M 2016]a)b)x2 + y2 – 4x + 9y + 18 = 0c)x2 + y2 – 4x + 8y + 12 = 0d)x2 + y2 – x + 4y – 12 = 0Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Let P be the point on the parabola, y2 = 8x which is at a minimum distance from the centre C of the circle, x2 + (y + 6)2 = 1.Then the equation of the circle, passing through C and having its centre at P is: [JEE M 2016]a)b)x2 + y2 – 4x + 9y + 18 = 0c)x2 + y2 – 4x + 8y + 12 = 0d)x2 + y2 – x + 4y – 12 = 0Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Let P be the point on the parabola, y2 = 8x which is at a minimum distance from the centre C of the circle, x2 + (y + 6)2 = 1.Then the equation of the circle, passing through C and having its centre at P is: [JEE M 2016]a)b)x2 + y2 – 4x + 9y + 18 = 0c)x2 + y2 – 4x + 8y + 12 = 0d)x2 + y2 – x + 4y – 12 = 0Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Let P be the point on the parabola, y2 = 8x which is at a minimum distance from the centre C of the circle, x2 + (y + 6)2 = 1.Then the equation of the circle, passing through C and having its centre at P is: [JEE M 2016]a)b)x2 + y2 – 4x + 9y + 18 = 0c)x2 + y2 – 4x + 8y + 12 = 0d)x2 + y2 – x + 4y – 12 = 0Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
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