Find the equation of the normal to the e...

Find the equation of the normal to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` at the positive end of the latus rectum.

`x+ey+e^2a=0`

`x-ey-e^3a=0`

`x-ey-e^2a=0`

None of these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

CONIC SECTIONS
VMC MODULES ENGLISH|Exercise LEVEL - 2|111 Videos
CONIC SECTIONS
VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|15 Videos
CONIC SECTIONS
VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos
COMPLEX NUMBERS
VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos
DIFFERENTIAL CALCULUS
VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the normal to the hyperbola x^(2)-3y^(2)=144 at the positive end of the latus rectum.

Find the equations of tangent and normal to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 at (x_1,y_1)

Find the equations of the tangent and normal to the parabola y^(2) =6x at the positive end of the latus rectum

Find the equation of tangent and normal to the ellipse x^2+8y^2=33 at (-1,2).

Find the length of latus rectum of the ellipse (x^(2))/(25) + (y^(2))/(36) = 1 .

A parabola is drawn with focus at one of the foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 . If the latus rectum of the ellipse and that of the parabola are same, then the eccentricity of the ellipse is (a) 1-1/(sqrt(2)) (b) 2sqrt(2)-2 (c) sqrt(2)-1 (d) none of these

If the normal at one end of the latus rectum of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 passes through one end of the minor axis, then prove that eccentricity is constant.

If the normal at one end of the latus rectum of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 passes through one end of the monor axis, then prove that eccentricity is constant.

The value of a for the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1,(a > b), if the extremities of the latus rectum of the ellipse having positive ordinates lie on the parabola x^2=2(y-2) is ___

VMC MODULES ENGLISH-CONIC SECTIONS-LEVEL - 1

Let the two foci of an ellipse be (-1,0) and (3,4) and the foot of per...
Text Solution
|
Let the two foci of an ellipse be (-1,0) and (3,4) and the foot of per...
Text Solution
|
Find the equation of the normal to the ellipse (x^2)/(a^2)+(y^2)/(b^2)...
Text Solution
|
PQ is a double ordinate of the parabola y^(2)=4ax. If the normal at P ...
Text Solution
|
The area of the rectangle formed by the perpendicular from the center ...
Text Solution
|
The length ofthe normal (terminated by the major axis) at a point of t...
Text Solution
|
Find the middle point of the chord intercepted on the line 2x-y+3 =0 b...
Text Solution
|
Find the locus of the mid point of chords of the ellipse x^(2)/a^(2)+y...
Text Solution
|
CP and CD are conjugate semi-diameters of the ellipse x^(2)/a^(2) + y^...
Text Solution
|
The equation of the chord of (x^(2))/(36)+(y^(2))/(9)=1 which is ...
Text Solution
|
Ifchord ofcontact ofthe tangents drawn from the point (alpha,beta)to t...
Text Solution
|
If P=(x , y),F1=(3,0),F2=(-3,0), and 16 x^2+25 y^2=400 , then P F1+P F...
Text Solution
|
If tan alpha tan beta=-(a^(2))/(b^(2), then the chord joining two poin...
Text Solution
|
If F1" and "F2 be the feet of perpendicular from the foci S1" and "S2 ...
Text Solution
|
The area of the rectangle formed by the perpendicular from the center ...
Text Solution
|
Find the points on the ellipse (x^2)/4+(y^2)/9=1 on which the norma...
Text Solution
|
Let Sa n dS ' be two foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 . I...
Text Solution
|
The locus of the point of intersection of perpendicular tangents to x^...
Text Solution
|
Prove that the focus of id-points of the portion of the tamgents to th...
Text Solution
|
Find the value of lambda for which the equation lambdax^2 + 4xy + y^2 ...
Text Solution
|