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[45.ax-by=a^(2)+b^(2)],[x+y=2a]...

[45.ax-by=a^(2)+b^(2)],[x+y=2a]

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If 2a=b, the pair of equations ax+by=2a^(2)-3b^(2),x+2y=2a-6b possess

x+y=a+b,ax-by=a^(2)-b^(2)

Solve the following simultaneous linear equations in two variables by the method of elimination ax+by=c a^(2)x+b^(2)y=c^(2)

{:(x + y = a + b),(ax - by = a^(2) - b^(2)):}

The locus of the midpoints of the chords of the circle x^(2)+y^(2)-ax-by=0 which subtend a right angle at ((a)/(2),(b)/(2)) is ax+by=0ax+by=a^(2)=b^(2)x^(2)+y^(2)-ax-by+(a^(2)+b^(2))/(8)=0x^(2)+y^(2)-ax-by-(a^(2)+b^(2))/(8)=0

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