Home
Class 12
MATHS
The line y=mx+c is a normal to the ellip...

The line `y=mx+c` is a normal to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1,` if `c`

A

`c=(a^(2)m)/(b^(2))`

B

`c^(2)=a^(2)m^(2)+b^(2)`

C

`c^(2)=a^(2)m^(2)-b^(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    MODERN PUBLICATION|Exercise (LEVEL-II) MCQ|34 Videos
  • ELLIPSE

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|5 Videos
  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Recent competitive Questions|12 Videos
  • FAMILY OF LINES

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|5 Videos

Similar Questions

Explore conceptually related problems

The line L x+m y+n=0 is a normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , if

The line x-y + k =0 is normal to the ellipse (x^2)/(9) + (y^2)/(16)=1 , then k=

Find the area of the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1

The condition that y=m x+c is a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) =1 is

The equation of the normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at the end of the latus rectum in the first quadrant is

The line 5x-3y=8sqrt2 is a normal to the ellipse x^(2)/25+y^(2)/9=1 , If 'theta' be eccentric angle of the foot of this normal then theta is equal to

The line x+y=a will be a tangent to the ellipse (x^(2))/(9)+(y^(2))/(16)=1 , if a=

Find the maximum area of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 which touches the line y=3x+2.

If the area of the auxilliary circle of the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) =1 (a gt b) is twice the area of the ellipse, then the eccentricity of the ellipse is

The product of the perpendiculars from the foci on any tangent to the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 is