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Let RS be the diameter of the circle x2 + y2 = 1, where S is the point (1, 0). Let P be a variable point (other than R and S) on the circle and tangents to the circle at S and P meet at the point Q. The normal to the circle at P intersects a line drawn through Q parallel to RS at point E. Then the locus of E passes through the point(s) (JEE Adv. 2016)
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A,C'. Can you explain this answer?
Verified Answer
Let RS be the diameter of the circle x2 + y2 = 1, where S is the point...
Circle : x2 + y2 = 1
Equation of tangent at P(cosθ, sinθ) x cosθ + y sinθ = 1 ...(1)
Equation of normal at P y = x tanθ ...(2)
Equation of tangent at S is x = 1
∴ Equation of line through Q and parallel to RS is
∴ Intersection point E of normal and
 = x tanθ ⇒ 
∴ Locus of E   or y2 = 1 – 2x
It is satisfied by the points  and
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Most Upvoted Answer
Let RS be the diameter of the circle x2 + y2 = 1, where S is the point...
Circle : x2 + y2 = 1
Equation of tangent at P(cosθ, sinθ) x cosθ + y sinθ = 1 ...(1)
Equation of normal at P y = x tanθ ...(2)
Equation of tangent at S is x = 1
∴ Equation of line through Q and parallel to RS is
∴ Intersection point E of normal and
 = x tanθ ⇒ 
∴ Locus of E   or y2 = 1 – 2x
It is satisfied by the points  and
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Let RS be the diameter of the circle x2 + y2 = 1, where S is the point...
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Let RS be the diameter of the circle x2 + y2 = 1, where S is the point (1, 0). Let P be a variable point (other than R and S) on the circle and tangents to the circle at S and P meet at the point Q. The normal to the circle at P intersects a line drawn through Q parallel to RS at point E. Then the locus of E passes through the point(s) (JEE Adv. 2016)a)b)c)d)Correct answer is option 'A,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 RS be the diameter of the circle x2 + y2 = 1, where S is the point (1, 0). Let P be a variable point (other than R and S) on the circle and tangents to the circle at S and P meet at the point Q. The normal to the circle at P intersects a line drawn through Q parallel to RS at point E. Then the locus of E passes through the point(s) (JEE Adv. 2016)a)b)c)d)Correct answer is option 'A,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 RS be the diameter of the circle x2 + y2 = 1, where S is the point (1, 0). Let P be a variable point (other than R and S) on the circle and tangents to the circle at S and P meet at the point Q. The normal to the circle at P intersects a line drawn through Q parallel to RS at point E. Then the locus of E passes through the point(s) (JEE Adv. 2016)a)b)c)d)Correct answer is option 'A,C'. Can you explain this answer?.
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