The line x-y-5 intersects the ellipse x216-x29-1 in points-

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The line $x - y = 5$ intersects the ellipse $\frac{x^{2}}{16} + \frac{x^{2}}{9} = 1$ in _____ points.

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y = 2 t^{2}

\frac{x^{2}}{9} + \frac{y^{2}}{4} = 1

x^{2} + y^{2} = 16

x - axis

x^{2} + y^{2} = 16

y - axis

x + y = 1

3 y = x + 3

x^{2} + 9 y^{2} = 9

x + y = 1

3 y = x + 3

x^{2} + 9 y^{2} = 9

P, Q

R

△ P Q R

y = x

\frac{x^{2}}{9} - \frac{y^{2}}{25} = 1

\frac{5}{\sqrt{2}}

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