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The differential equation of the family of circles with fixed radius 5 units and centre on the line y = 2 is 
  • a)
    (x – 2)y'2 = 25 –(y – 2)2
  • b)
    (y – 2)y'2 = 25 –(y – 2)2
  • c)
    (y – 2)2y'2 = 25 –(y – 2)2
  • d)
    (x – 2)2 y'2 = 25 –(y – 2)2
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The differential equation of the family of circles with fixed radius 5...
Let the centre of the circle be (h, 2)
∴ Equation of circle is ( x– h)2 + (y – 2)2 = 25 …(1)
Differentiating with respect to x, we get
Substituting in equation (1) we get
⇒ (y – 2)2  (y')2 = 25 –  (y –2)2
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Most Upvoted Answer
The differential equation of the family of circles with fixed radius 5...
The differential equation of the family of circles with fixed radius 5 units and center on the line y = 2 is:

(x - h)^2 + (y - 2)^2 = 5^2

where (h, 2) represents the center of each circle in the family.
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The differential equation of the family of circles with fixed radius 5 units and centre on the line y = 2 isa)(x – 2)y'2 = 25 –(y – 2)2b)(y – 2)y'2 = 25 –(y – 2)2c)(y – 2)2y'2 = 25 –(y – 2)2d)(x – 2)2 y'2 = 25 –(y – 2)2Correct 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 The differential equation of the family of circles with fixed radius 5 units and centre on the line y = 2 isa)(x – 2)y'2 = 25 –(y – 2)2b)(y – 2)y'2 = 25 –(y – 2)2c)(y – 2)2y'2 = 25 –(y – 2)2d)(x – 2)2 y'2 = 25 –(y – 2)2Correct 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 The differential equation of the family of circles with fixed radius 5 units and centre on the line y = 2 isa)(x – 2)y'2 = 25 –(y – 2)2b)(y – 2)y'2 = 25 –(y – 2)2c)(y – 2)2y'2 = 25 –(y – 2)2d)(x – 2)2 y'2 = 25 –(y – 2)2Correct answer is option 'C'. Can you explain this answer?.
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