Vertex at (6,5), conjugate axis along the x - axis asymptotes 5x - 6y - 30 and 5x + 6y - 30 = 0

My answer: (y-5)^2 / 25 - (x-6)^2 / 36

The book's answer: (y^2) / 25 - (x-6)^2 / 36

who is correct?

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- February 21st 2007, 02:39 PM^_^Engineer_Adam^_^Hyperbola Short Question
Vertex at (6,5), conjugate axis along the x - axis asymptotes 5x - 6y - 30 and 5x + 6y - 30 = 0

My answer: (y-5)^2 / 25 - (x-6)^2 / 36

The book's answer: (y^2) / 25 - (x-6)^2 / 36

who is correct? - February 21st 2007, 06:05 PMSoroban
Hello, ^_^Engineer_Adam^_^!

Sorry, the book is correct . . .

Quote:

Vertex at (6,5), conjugate axis along the x - axis

asymptotes: 5x - 6y - 30 and 5x + 6y - 30 = 0

My answer: .(y - 5)²/25 - (x - 6)²/36 .= .1

The book's answer: .(y²)/25 - (x - 6)²/36 .= .1

Who is correct?

You used (6,5) as the center . . . and it's a*vertex.*

The two asymptotes intersect at the center.

. . 5x - 6y - 30 .= .0

. . 5x + 6y - 30 .= .0

Solve the system: the center is at (6,0).