Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
The locus of the extremities of the latus rectum of the family of ellipses b2x2+y2=a2b2 having a given major axes is :
Hello student,The given ellipse is b2x2 + y2 = a2b2i.e. x2/a2 + y2/b2 = 1.(ab)2 = a2(1 – e2) or b2 = 1 - e2.Let an extremity of latus rectum be L(x, y).Then, x = ae gives x2 = a2e2 = a2(1 – b2) .... (a)and y = (ab)2/a = ab2 .... (b)From (a) and (b) we have x2 = a2 – a(ab2)Hence, locus of L or L’ = x2 =a2 ± ay.
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -