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JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

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Application +4 | -1
The incentre of the triangle formed by the lines xy=0\mathrm{xy}=0 and x3+y4=1\frac{x}{3}+\frac{y}{4}=1 is (h,k)(\mathrm{h}, \mathrm{k}), then
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Correct option: D
(h,k)(\mathrm{h}, \mathrm{k}) lies on the circle (x−4)2+(y−5)2=25(x-4)^2+(y-5)^2=25
The correct answer is D ((x−4)2+(y−5)2=25x-4)^2+(y-5)^2=25) because the incenter (1,1) satisfies this equation.

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