The point -4-3- lies inside the ellipse nbsp-5x2-7y2-140-FalseTrue

The point (4,...

Question

The point (4,-3) lies inside the ellipse $5 x^{2} + 7 y^{2} = 140$ .

False

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True

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Solution

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Similar questions

5 x^{2} + 7 y^{2} = 140

(1, - 3)

5 x^{2} + 7 y^{2} = 140

S = 5 x^{2} + 7 y^{2} - 140

(1, - 3)

S_{1} > 0

(4, - 3)

5 x^{2} + 7 y^{2} = 140

S_{1} = 5 x^{2} + 7 y^{2} - 140

(4, - 3)

S_{1} > 0

5 x^{2} + 7 y^{2} = 140

(4, - 3)

(4, - 3)

5 x^{2} + 7 y^{2} = 11^{2}