# Find the standard form for the equation of the hyperbola with foci (0,0) and (8,0) if the conjugate axis is 6 units long.

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Find the standard form for the equation of the hyperbola with foci (0,0) and (8,0) if the conjugate axis is 6 units long.

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Step 1

Standard form of equation of hyperbola. help_outlineImage TranscriptioncloseGiven: Foci: (0,0)and (8,0). Conjugate axis: 6 units long. The standard form of equation of hyperbola: (x-h)² (y-k) 1 62 Center:(h,k) a2 Foci:(tc,0) conjugate axis:=2b. The distance between two fociis:2c. fullscreen
Step 2

Find center:

Take midpoin... help_outlineImage Transcriptionclose8+0 0+0 Centre : 2 (h,k)=(4,0) The distance between two foci is, 2c =8-0 2c =8 c= 4 The conjugate axis of hyperbola is, 2b =6 b=3 fullscreen

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### Geometry 