Home
Class 11
MATHS
The line lx + my = n is a normal to the ...

The line `lx + my = n` is a normal to the ellipse `x^2/a^2+y^2/b^2=1` , if

A

`a^(2) l^(2) +b^(2) m^(2)= n^(2)`

B

`al^(2) + bm^(2) = n^(2)`

C

`a^(2) l + b^(2)m =n`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the condition that the line lx + my = n may be a normal to the ellipse x^(2)/(a^(2)) + y^(2)/b^(2) =1

The line lx+my+n=0 is a normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1. then prove that (a^(2))/(l^(2))+(b^(2))/(m^(2))=((a^(2)-b^(2))^(2))/(n^(2))

If the line lx+my=1 is a normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 then (a^(2))/(l^(2))+(b^(2))/(m^(2))=

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

If the straight line 4ax+3by=24 is a normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 (agtb) , then find the the coordinates of focii and the ellipse

The line lx + my + n = 0 is a normal to (x^(2))/(a^(2)) + (y^(2))/(b^(2)) =1 , provided

The locus of the poles of normal chords of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , is