12.2E: Hyperbola (Mazoezi)
- Page ID
- 178807
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Kwa mazoezi yafuatayo, andika equation ya hyperbola kwa fomu ya kawaida. Kisha kutoa kituo, vertices, na foci.
12. \(\frac{x^{2}}{81}-\frac{y^{2}}{9}=1\)
13. \(\frac{(y+1)^{2}}{16}-\frac{(x-4)^{2}}{36}=1\)
14. \(9 y^{2}-4 x^{2}+54 y-16 x+29=0\)
15. \(3 x^{2}-y^{2}-12 x-6 y-9=0\)
Kwa mazoezi yafuatayo, graph hyperbola, alama za kuandika na foci.
16. \(\frac{x^{2}}{9}-\frac{y^{2}}{16}=1\)
17. \(\frac{(y-1)^{2}}{49}-\frac{(x+1)^{2}}{4}=1\)
18. \(x^{2}-4 y^{2}+6 x+32 y-91=0\)
19. \(2 y^{2}-x^{2}-12 y-6=0\)
Kwa mazoezi yafuatayo, pata equation ya hyperbola.
20. Kituo cha saa (0,0), kipeo katika (0,4), kuzingatia (0, -6)
21. Foci katika (3,7) na (7,7), vertex katika (6,7)