Ellipse Again

Consider an ellipse x2/sec2a + y2/tan2 a = 1 ,0<a<pi/4

with foci S1 & S2 . Let M be a point on the y-axis such that OM = OS1 , where O is origin.

Which of the following r correct?

(A)M lise inside the ellipse

(B) M lies outside the ellipse

(C)foci lies on x = 1,-1

(D)latus rectum lies in the interval (0,1/√2 )

NOT MY DOUBT

4 Answers

1
Ankur Jay ·

Since 0<a<pi/4,

The equation of the largest possible ellipse should be :

x2/2 + y2/1 = 1

Where focii wil be less than (-√2,√2)

In option C, it is given -1,1 so the rest of the real numbers are not included.

Since OM = OS1, it is lesser than length of minor axis. (2 x 1), hence M lies inside ellipse.

If focii are in interval (-√2,√2) then latus rectum interval should also have a negative limit. Since the interval given is (0,1/√2) hence option D is also wrong.

Hence correct answer is A

4
UTTARA ·

Ans given is A C D

1
Ankur Jay ·

Well i had told ya its A nd C..... u made me disprove myself !!!! had to sit fr hours fr this!!! [5]

4
UTTARA ·

No Ankur

D is also right as latus rectum doesn't lie only in (0,1/√2) but lies in (0,1/√2)

(U understood the difference na??)

Your Answer

Close [X]