Solveeit Logo
Login

Question

Question: If the ellipse \(\frac{x^{2}}{4}\)+\(\frac{y^{2}}{1}\)= 1 meet the ellipse \(\frac{x^{2}}{1}\)+\(\fr...

If the ellipse x24\frac{x^{2}}{4}+y21\frac{y^{2}}{1}= 1 meet the ellipse x21\frac{x^{2}}{1}+y2a2\frac{y^{2}}{a^{2}}= 1 in four distinct points and a = b2 – 10b + 25 then which of the following is true :

A

4 < b < 6

B

b < 4

C

b > 6

D

Both B and C

Answer

b > 6

Explanation

Solution

a > 1

Ž b2 – 10b + 25 > 1

Ž b2 – 10b + 24 > 0

Ž (b – 6) (b – 4) > 0