For each of the following Write the equation in the correct

For each of the following. Write the equation in the correct form. Determine the values for a b and c. Neatly sketch the hyperbola. X^2 - 4 y^2 = 16 4x^2 - 25 y^2 = 100 4x^2 - y^2 = 1 x^2 - 9 y^2 = 1 4x^2 - y^2 = 16 3x^2 - 2y^2 = 6

Solution

1. x^2 -4y^2 =16

x^2/16 -y^2/4=1

a=4 , b=2

c=sqrt(16+4)=2sqrt5

2. 4x^2 -25y^2 =100

x^2 /25 -y^2/4=1

a=5 , b=2

c=sqrt(25+4) = sqrt29

 For each of the following. Write the equation in the correct form. Determine the values for a b and c. Neatly sketch the hyperbola. X^2 - 4 y^2 = 16 4x^2 - 25

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