Question

Show that the line y = x + √7 touches the hyperbola 9x² – 16y² = 144

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Answer 1

Answer:

$\mathcal {ANSWER}$

➡The line may touch the hyperbola.

➡$y = mx + \sqrt{ {a}^{2} {m}^{2} - {b}^{2} } \: \: \: be \: the \: equation.$

➡$and \: condition \: is \: c = + \sqrt{ {a}^{2} {m}^{2} - {b}^{2} }$

➡$\sqrt{7} = + \sqrt{16 \times {1}^{2} \: - 9 }$

➡$\sqrt{7} = + \sqrt{16 - 19}$

➡$\sqrt{7} = + \sqrt{7} \\ hence \: proved.$

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Answer 2

This is your answer.

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