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Consider the ellipse (x^2)/(f(k^2+2k+5))...

Consider the ellipse `(x^2)/(f(k^2+2k+5))+(y^2)/(f(k+11))=1.` If `f(x)` is a positive decr4easing function, then the set of values of `k` for which the major axis is the x-axis is `(-3,2)dot` the set of values of `k` for which the major axis is the y-axis is `(-oo,2)dot` the set of values of `k` for which the major axis is the y-axis is `(-oo,-3)uu(2,oo)` the set of values of `k` for which the major axis is the y-axis is `(-3,-oo,)`

A

`k in(-2,3)`

B

`k in(-3,2)`

C

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

D

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

Text Solution

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The correct Answer is:
B, C
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ARIHANT MATHS ENGLISH-ELLIPSE-Exercise (Questions Asked In Previous 13 Years Exam)
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  14. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

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