Show that the point (9,4) lies outside the ellipse
`(x^(2))/(10)+(y^(2))/(9)=1`

If the tangents from the point (lambda,3) to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 are at right angles then lambda is

Find the locus of the mid-point of the chord of the ellipse (x^(2))/(16) + (y ^(2))/(9) =1, which is a normal to the ellipse (x ^(2))/(9) + (y ^(2))/(4) =1.

Which one of the following points lies outside the ellipse (x^(2)//a^(2))+(y^(2)//b^(2)) ?

The equation of the tangent at the point theta=(pi)/(3) to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 is

An ellipse of eccentricity (2sqrt(2))/(3) is inscribed in a circle. A point is chosen inside the circle at random. The probability that the point lies outside the ellipse is a) (1)/(3) b) (2)/(3) c) (1)/(9) d) (2)/(9)

Tangents are drawn from the point P(3,4) to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 touching the ellipse at points A and B.

Find the equation of tangent at the point theta=(pi)/(3) to the ellipse (x^(2))/(9)+(y^(2))/(4) = 1