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Let a, b and λ be positive real numbers. Suppose P  is an end point of the latus rectum of the parabola y2 = 4λx, and suppose the ellipse 1 passes through the point P. If the tangents to the parabola and the ellipse at the point P are perpendicular to each other, then the eccentricity of the ellips is
  • a)
    1/√2
  • b)
    1/2
  • c)
    1/3
  • d)
    2/5
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Let a, b and λ be positive real numbers. Suppose P is an end po...
y2 = 4λx, P(λ, 2λ)
Slope of the tangent to the parabola at point P
Slope of the tangent to the ellipse at P 

As tangents are perpendicular y ' =-1
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Let a, b and λ be positive real numbers. Suppose P is an end point of the latus rectum of the parabola y2 = 4λx, and suppose the ellipse1 passes through the point P. If the tangents to the parabola and the ellipse at the point P are perpendicular to each other, then the eccentricity of the ellips isa)1/√2b)1/2c)1/3d)2/5Correct answer is option 'A'. Can you explain this answer?
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