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A line y = mx + 1 intersects the circle (x – 3)2 + (y + 2)2 = 25 at the points P and Q. If the midpoint of the
line segment PQ has x-coordinate then which one of the following options is correct?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A line y = mx + 1 intersects the circle (x – 3)2 + (y + 2)2 = 25...

⇒ m2 – 5m + 6 = 0
⇒ m = 2, 3
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A line y = mx + 1 intersects the circle (x – 3)2 + (y + 2)2 = 25 at the points P and Q. If the midpoint of theline segment PQ has x-coordinate then which one of the following options is correct?a)b)c)d)Correct answer is option 'C'. Can you explain this answer?
Question Description
A line y = mx + 1 intersects the circle (x – 3)2 + (y + 2)2 = 25 at the points P and Q. If the midpoint of theline segment PQ has x-coordinate then which one of the following options is correct?a)b)c)d)Correct 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 A line y = mx + 1 intersects the circle (x – 3)2 + (y + 2)2 = 25 at the points P and Q. If the midpoint of theline segment PQ has x-coordinate then which one of the following options is correct?a)b)c)d)Correct 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 A line y = mx + 1 intersects the circle (x – 3)2 + (y + 2)2 = 25 at the points P and Q. If the midpoint of theline segment PQ has x-coordinate then which one of the following options is correct?a)b)c)d)Correct answer is option 'C'. Can you explain this answer?.
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