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The tangent at a point whose eccentric angle 60° on the ellipse  meet the auxiliary circle at L and M. If LM subtends a right angle at the centre, then eccentricity of the ellipseis
  • a)
    1/√7
  • b)
    2/√7
  • c)
    3/√7
  • d)
    1/2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The tangent at a point whose eccentric angle 60° on the ellipsemee...
The equation of the tangent is

Auxiliary circle is x2 + y2 = a2 .........(ii)
C is the centre.
Combined equation of CL, CM is obtained by homgenising (ii) with (i), i.e.,


⇒ 7b2 = 3a2 ⇒ 7a2 (1–e2) = 3a2
Hence e = 2/√7 
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The tangent at a point whose eccentric angle 60° on the ellipsemeet the auxiliary circle at L and M. If LM subtends a right angle at the centre, then eccentricity of the ellipseisa)1/√7b)2/√7c)3/√7d)1/2Correct answer is option 'B'. Can you explain this answer?
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The tangent at a point whose eccentric angle 60° on the ellipsemeet the auxiliary circle at L and M. If LM subtends a right angle at the centre, then eccentricity of the ellipseisa)1/√7b)2/√7c)3/√7d)1/2Correct answer is option 'B'. 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 tangent at a point whose eccentric angle 60° on the ellipsemeet the auxiliary circle at L and M. If LM subtends a right angle at the centre, then eccentricity of the ellipseisa)1/√7b)2/√7c)3/√7d)1/2Correct answer is option 'B'. 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 tangent at a point whose eccentric angle 60° on the ellipsemeet the auxiliary circle at L and M. If LM subtends a right angle at the centre, then eccentricity of the ellipseisa)1/√7b)2/√7c)3/√7d)1/2Correct answer is option 'B'. Can you explain this answer?.
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