EllipseHard
Question
A tangent having slope of -
to the ellipse 
= 1 intersects the major & minor axes in points A & B respectively. If C is the center of the ellipse then the area of the triangle ABC is :
to the ellipse = 1 intersects the major & minor axes in points A & B respectively. If C is the center of the ellipse then the area of the triangle ABC is :Options
A.12 sq. units
B.24 sq. units
C.36 sq. units
D.48 sq. units
Solution
Since major axis is along y-axis.
∴ Equation of tangent is x = my +
slope of tangent =
⇒ m = 
Hence equation of tangent is 4x + 3y = 24
or
= 1
Its intercepts on the axes are 6 and 8.
Area (ᐃ AOB) =
× 6 × 8 = 24 sq. unit.
∴ Equation of tangent is x = my +
slope of tangent =
⇒ m = Hence equation of tangent is 4x + 3y = 24
or
= 1Its intercepts on the axes are 6 and 8.
Area (ᐃ AOB) =
× 6 × 8 = 24 sq. unit.Create a free account to view solution
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