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A tangent having slope ofto the ellipse  intersects the major and minor axes in points A and B respectively. If C is the center of the ellipse then the area of the triangle ABC is:
  • a)
    12 sq. units
  • b)
    24 sq. units
  • c)
    36 sq. units
  • d)
    48 sq. units
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A tangent having slope ofto the ellipseintersects the major and minor ...
Equation of the tangent to  whose slope 

From symmetry of ellipse it is obvious that area of the triangle ABC will be same with respect either tangent.
Let us consider 

Hence area Δ of the triangle ABC is:
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A tangent having slope ofto the ellipseintersects the major and minor axes in points A and B respectively. If C is the center of the ellipse then the area of the triangle ABC is:a)12 sq. unitsb)24 sq. unitsc)36 sq. unitsd)48 sq. unitsCorrect answer is option 'A'. Can you explain this answer?
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