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in Mathematics by (53.1k points)

One diagonal of a square is the portion of the line 7x + 5y = 35 intercepted between the axes. Determine the extremities of the other diagonal.

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See Fig. A(5, 0) and B(0, 7) are the extremities of the given diagonal. Therefore, the slope of the diagonal AB is −7/5. Hence, the slope of the other diagonal, say, CD is 5/7. Therefore

tan θ = 5/7

so that cos θ = 7/√74 and sinθ = 5/√74

The equation of the diagonal CD is

Since, γ = 7/√74  the other vertices of the diagonal are

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