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The equation of the hyperbola shown below can be written as (x - h)^2/a^2 - (y - k)^2/b^2 = 1.

Find h + k + a + b.

 

 Apr 23, 2021
 #1
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Equation of hyperbola is 

     \({(x-h)^2 \over a^2}-{(y-k)^2 \over b^2} = 1\)

∴ Center of hyperbola is (h,k)

 

Now, from figure 

(h,k) = (5,4) 

⇒ h = 5

⇒ k = 4

a = 3 

b = 2 

 

∴ \(h+k+a+b=5+4+3+2\)

                             \(=14\)

 

~ Hope this helps :) 

 Apr 24, 2021

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