Mathematics Logic & Set Applications, Mathematics

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Prove that x2 + y2 - 8x - 10y +39 = 0, If the points (5, 4) and (x, y) are ...

If the points (5, 4) and (x, y) are equidistant from the point (4, 5), prove that x 2 + y 2 - 8x - 10y +39 = 0. Ans :   AP = PB AP 2 = PB 2 (5 - 4) 2 + (4 - 5) 2 = (x

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a triangle with side lengths in the ratio 3:4:5 is inscribed in a circle of radius 3.what is the area of the triangle.

Sketch the graph, Sketch the graph of                          y = ( x -...

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SYSTEMS OF ODE, Problem 1 Let ~x0 = A~x and y 0 = B~y be two 2  2 linear s...

Problem 1 Let ~x0 = A~x and y 0 = B~y be two 2  2 linear systems of ODE. (1) Suppose that A and B have the same purely imaginary eigenvalues. Prove that these systems are topologi

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