If the circle x² + y² + 2gx + 2fy + c = O bisects the circumference of the circle x² + y² + 2g'x+2f'y + c' = 0 then prove that 2g′(g − g′) + 2ƒ′(ƒ − ƒ') = c − c'

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A: Given problem is : Find the equation of the circle Busan bent X=y^2-y at point (0,1) .

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Q: 13) Find the points of intersecti on of the parabola and the line. y=2x^2-3x-1 and y=x+5

A: Equate the equations with each other and solve for x to find the point of intersection .

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A: Find the equations of the tangents to the circle x^2 + y^2 + 4x - 10y + 21 = 0 thatThey are parallel…

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Q: 4. Determine the slope of the common tangent to the parabolas y=x² +1 and y=-x² - 1. y=x*2+1 (a, b)…

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A: Note:- The standard form of equation of tangent line at point c, d is y-d = m x-c Here, m is the…

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Q: Find the center of the circle tangent to x^2 + y^2 + 2x - 6y + 5 = 0 at (1,2) passing through the…

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Q: So the maximum is (-0.5, -16e^(-1))? And the minimum is (0.5, 16e^(-1))? I need the answer in…

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Q: Find the angle at which the circles x² + y² + x + y = 0 and x² + y² + x − y = 0 ir If the circles x²…

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A: The equation of tangent to x2+y2=5 at (1,-2) is x-2y-5=0.putting x=2y+5 in the equation of circle,we…