The midpoint of -2- 3- and -4- 5- lies on which of the following curves- x-2-y-2-25-x-y-5-xy-15-None of these-

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Point of Intersection

The midpoint ...

Question

The midpoint of (2, 3) and (4, 5) lies on which of the following curves?

x+y=5

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x^2+y^2=25

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xy=15

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None of these

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The locus of a point which divides the join of A(-1, 1) and a variable point P on the circle $x^{2} + y^{2} = 4$ in the ratio 3:2, is

x = \frac{\sqrt{5} - \sqrt{3}}{\sqrt{5} + \sqrt{3}}

y = \frac{\sqrt{5} + \sqrt{3}}{\sqrt{5} - \sqrt{3}}

x^{2} + y^{2} - 5 x y

y^{2} = 8 x

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

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