What is the length of the conjugate axis?

(x-1)^2/25-(y+3)^2/9=1

Length of the conjugate axis is 6 units.

Step-by-step explanation:

Given Equation is ,

To find: Length of the conjugate axis.

We know that given equation is Equation of Hyperbola.

First Transverse Axis: Axis passing through the vertices is called the transverse axis. Length of the transverse axis is 2a.

Now, Conjugate Axis: Axis which is perpendicular to the transverse axis through the center is called the conjugate axis. Length of the Conjugate axis  is 2b.

Equation in standard form is written as ,

So, Comparing with Standard equation,

we get, a² = 25 ⇒ a = 5   and     b² = 9 ⇒ b = 3

Thus, Length of the conjugate axis = 2 × 3 = 6 unit

Therefore, Length of the conjugate axis is 6 units.

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step-by-step explanation:

1+2+3+4+5+6+7+8+9+10 = 55

2*10 = 20

55-20 = 35

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