Question

1.Give the required elements of the hyperbola.

x^2/9 -y^2/16 = 1


The value of b is:


a.3

b.4

c.9

d.16


2.Give the required elements of the hyperbola.


4x^2 - y^2 = 16


The value of b is:


a.1

b.2

c.4

d.16

Answer 1

Typically the terms h, k, and r are used for equations for a circle.

Assuming they are using b for the k term (since it comes second) the answers would be D and A.

Answer 2

Answer: The answer is (b) 4.

Step-by-step explanation: The given equation of the hyperbola is

`(x^2)/(9)-(y^2)/(16)=1.`

We know that the standard equation of a hyperbola is

`(x^2)/(a^2)-(y^2)/(b^2)=1.`

Comparing the standard equation of the hyperbola with the given equation, we have

`a^2=9~~~\textup{and}~~~b^2=16\\\\\Rightarrow a=\pm3~~~\textup{and}~~~b=\pm 4`

Since length cannot be negative, so we have

a = 3 and b = 4.

Thus, the correct option is (b) b = 4.