Home
Class 12
MATHS
From a variable point of an ellipse x^...

From a variable point of an ellipse
`x^2/a^2 + y^2/b^2 = 1`
normal is drawn to the ellipse. The maximum distance of the normal from the centre of the ellipse is ........ .

Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    ML KHANNA|Exercise SELF ASSESSMENT TEST |27 Videos

  • MAXIMA AND MINIMA

    ML KHANNA|Exercise MISCELANEOUS EXERCISE (MATCHING ENTRIES)|1 Videos

  • MAXIMA AND MINIMA

    ML KHANNA|Exercise PROBLEM SET(3) (TRUE AND FALSE )|8 Videos

  • MATRICES

    ML KHANNA|Exercise COMPREHENSION|3 Videos

  • MEASURES OF CENTRAL TENDENCY

    ML KHANNA|Exercise ASSERTION / REASON|1 Videos

Similar Questions

Explore conceptually related problems

In an ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 where a gt b , the distance of the normal from the centre does not exceed by ?

Number of points on the ellipse x^2/a^2+y^2/b^2=1 at which the normal to the ellipse passes through at least one of the foci of the ellipse is

Number of points on the ellipse x^2/25+y^2/7=1 whose distance from the centre of the ellipse is 2sqrt7 is

The locus of points whose polars with respect to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 are at a distance d from the centre of the ellipse, is

If the normal at any point P of the ellipse x^2/a^2 + y^2/b^2 = 1 meets the major and minor axes at G and E respectively, and if CF is perpendicular upon this normal from the centre C of the ellipse, show that PF.PG=b^2 and PF.PE=a^2 .

Find the eccentric angle of a point on the ellipse x^2 + 3y^2 = 6 at a distance 2 units from the centre of the ellipse.

The tangent at point P on the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 cuts the minor axis in Q and PR is drawn perpendicular to the minor axis. If C is the centre of the ellipse, then CQ*CR =

If the focal chord of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, is normal at (a cos theta,b sin theta) then eccentricity of the ellipse is

A normal inclined at 45^@ to the axis of the ellipse x^2 /a^2 + y^2 / b^2 = 1 is drawn. It meets the x-axis & the y-axis in P & Q respectively. If C is the centre of the ellipse, show that the area of triangle CPQ is (a^2 - b^2)^2/(2(a^2 +b^2)) sq units

If equation of directrix of an ellipse x^2/a^2+y^2/b^2=1 is x=4, then normal to the ellipse at point (1,beta),(beta gt 0) passes through the point (where eccentricity of the ellipse is 1/2 )