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The circles x2 + y2 – 10x + 16 = 0 and x2 + y2 = r2 intersect each other in two distinct points if (1994)
  • a)
    r < 2
  • b)
    r > 8
  • c)
    2 < r < 8
  • d)
    2 ≤ r ≤ 8
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The circles x2 + y2 – 10x + 16 = 0 and x2 + y2 = r2 intersect ea...
Centres and radii of two circles are C1 (5, 0); 3 = r1 and C2 (0, 0); r = r2
As circles intersect each other in two distinct points,
|r1 – r2| < C1C2 < r1 + r2
⇒ | r – 3 | < 5 < r + 3 ⇒ 2 < r < 8
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Most Upvoted Answer
The circles x2 + y2 – 10x + 16 = 0 and x2 + y2 = r2 intersect ea...
The equation x^2 + y^2 represents a circle in the coordinate plane. The center of the circle is the origin (0, 0) and the radius of the circle is given by the square root of the sum of the squares of x and y.
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The circles x2 + y2 – 10x + 16 = 0 and x2 + y2 = r2 intersect each other in two distinct points if (1994)a)r < 2b)r > 8c)2 < r < 8d)2 ≤ r ≤ 8Correct 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 circles x2 + y2 – 10x + 16 = 0 and x2 + y2 = r2 intersect each other in two distinct points if (1994)a)r < 2b)r > 8c)2 < r < 8d)2 ≤ r ≤ 8Correct 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 circles x2 + y2 – 10x + 16 = 0 and x2 + y2 = r2 intersect each other in two distinct points if (1994)a)r < 2b)r > 8c)2 < r < 8d)2 ≤ r ≤ 8Correct answer is option 'C'. Can you explain this answer?.
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