Home
Class 12
MATHS
If the ellipse (x^2)/4+y^2=1 meets the e...

If the ellipse `(x^2)/4+y^2=1` meets the ellipse `x^2+(y^2)/(a^2)=1` at four distinct points and `a=b^2-5b+7,` then `b` does not lie in `[4,5]` (b) `(-oo,2)uu(3,oo)` `(-oo,0)` (d) `[2,3]`

A

`[2,3]`

B

`[4,5]`

C

`(-oo, 0)`

D

`(0,oo)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THE ELLIPSE

    ML KHANNA|Exercise PROBLEM SET (1) (True and False)|1 Videos

  • THE ELLIPSE

    ML KHANNA|Exercise PROBLEM SET (1) (Fill in the blanks)|4 Videos

  • THE CIRCLE

    ML KHANNA|Exercise Self Assessment Test (Fill in the blanks) |7 Videos

  • THE HYPERBOLA

    ML KHANNA|Exercise SELF ASSESSMENT TEST |4 Videos

Similar Questions

Explore conceptually related problems

If the ellipse (x^(2))/(9)+y^(2)=1 meets the ellipse x^(2)+(y^(2))/(a^(2))=1 in four distinct points and a=r^(2)-11r+29 then r does not lie in (A) (-oo,-4)uu(7,oo)(B)[10,13](C)(-oo,0)(D)[4,7]

The line x=at^(2) meets the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 in the real points if

If the ellipse (x^(2))/(4)+(y^(2))/(1)=1 meets the ellipse (x^(2))/(1)+(y^(2))/(a^(2))=1 in four distinct points and a=b^(2)-10b+25, then the number of integral values of b is 32.43.64.15. infinite

Suppose the ellipse x^2/2+y^2=1 and the ellipse x^2/5+y^2/a^2=1 where a^2=b^2-8b+13 intersect in four distinct points, then number of integral values of b is

The line x+2y=1 cuts the ellipse x^(2)+4y^(2)=1 1 at two distinct points A and B. Point C is on the ellipse such that area of triangle ABC is maximum, then find point C.