Find The Set Of Values Of 'K' For Which X^2/ (9-K) +Y^2/ (K-4) =1 Defines An Ellipse?
Please help help help
Home › Mathematics › Find The Set Of Values Of 'K' For Which X^2/ (9-K) +Y^2/ (K-4) =1 Defines An Ellipse?
Please help help help
-Anonymous
The standard form of the equation of an ellipse is
(x^2 / a^2) + (y^2 / b^2) = 1, where a and b are real numbers so that
a^2 > 0
and
b^2 > 0
We require a^2 and b^2 to be only greater than 0 and not equal to 0 because we can't devide by 0.
So, in order for the given equation to represent an ellipse, we must have
9 - k > 0 and k - 4 > 0
so 9 - k + k > 0 + k and k - 4 + 4 > 0 + 4
or 9 > k and k > 4
That is, 4 < k < 9. So k should be between 4 and 9 both values not inclusive.
-Anonymous
(x^2 / a^2) + (y^2 / b^2) = 1, where a and b are real numbers so that
a^2 > 0
and
b^2 > 0
We require a^2 and b^2 to be only greater than 0 and not equal to 0 because we can't devide by 0.
So, in order for the given equation to represent an ellipse, we must have
9 - k > 0 and k - 4 > 0
so 9 - k + k > 0 + k and k - 4 + 4 > 0 + 4
or 9 > k and k > 4
That is, 4 < k < 9. So k should be between 4 and 9 both values not inclusive.
- worth 10 points and 5 stars!?" People I bought a router and got the cable that was put on the pc and the router the net works normal now I want reeconectar shape of the cab..."
- Have you stayed overnight in the Castle Keep and if so what was it like?"Were you scaredbrWas it fun or anything else Id like to find out what its like before I gobrAlso are there any restrictionbrI know you can..."
- I start my accounting internship Monday with AT&T, what should I brush up on?"a href httpanswersyahoocomquestionindexqidAAJCihttpanswersyahoocomquestionindexqidAAJCia..."
(1 votes, average: 4.00 out of 5, rated)
Loading ...