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

$\dfrac{x^2}{9}-\dfrac{y^2}{16}=1.$

We know that the standard equation of a hyperbola is

$\dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=1.$

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.