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

 The answer is (b) 4.

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

We know that the standard equation of a hyperbola is

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

Since length cannot be negative, so we have

a = 3  and  b = 4.

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

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step-by-step explanation:

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

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