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  • If f(x) is a decreasing function then the set of values of ‘k’, for which the major axis of the ellipse<span

If f(x) is a decreasing function then the set of values of ‘k’, for which the major axis of the ellipse\frac{x^2 }{f(k^2 + 2k + 5 )} + \frac{ y^2 }{f(k + 1 1)}  = 1 is the x-axis, is:

Option: 1

k \in (-2 , 3 )


Option: 2

k \in ( -3,2)


Option: 3

k \in ( - \infty , -3 ) \cup ( 2, \infty )


Option: 4

k \in ( - \infty , -2 ) \cup ( 3, \infty )


Answers (1)

best_answer

 

Major axis -

The line segment through the foci of the ellipse.

- wherein

 

 

f(x) is a decreasing function & for major axis to be x-axis

f ( k^2 + 2k + 5 ) > f ( k+ 11) \\\\ k^2 + 2k + 5 < k+11 \\\\ k \in (-3 ,2)

Posted by

Suraj Bhandari

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