## Question

### Solution

Correct option is Equation of tangent to ellipse is

y = mx + c           … (1)  where

c2 = a2m2 + b2     … (2)

by (1), – mx + y = c the tangent meets the x-axis and y-axis at Mid-point of AB is (x1y1 On multiplying … (3)

Put (3) in (2) is locus of (x, y).

#### SIMILAR QUESTIONS

Q1

If the normal at any point P on the ellipse cuts the major and minor axes in G and g respectively and C be the center of the ellipse

Q2

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Q3

The ellipse cuts x-axis at A and A’ and y-axis at Band B’. The line joining the focus S and B makes an angle with x-axis. The eccentricity of the ellipse is

Q4

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Q5

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Q6

S and T are the foci of an ellipse and B is an end of the minor axis. If STB is an equilateral triangle, the eccentricity of the ellipse is

Q7

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Q8

If touches the ellipse , then its eccentricity angle θ is equal to

Q9

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Q10

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