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A line of fixed length 2 units moves so ...

A line of fixed length 2 units moves so that its ends are on the positive x-axis and that part of the line `x+y=0` which lies in the second quadrant. Then the locus of the midpoint of the line has equation. `x^2+5y^2+4x y-1=0` `x^2+5y^2+4x y+1=0` `x^2+5y^2-4x y-1=0` `4x^2+5y^2+4x y+1=0`

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A line of fixed length 2 units moves so that its ends are on the positive x-axis and that part of the line x+y=0 which lies in the second quadrant. Then the locus of the midpoint of the line has equation. (a) x^2+5y^2+4x y-1=0 (b) x^2+5y^2+4x y+1=0 (c) x^2+5y^2-4x y-1=0 (d) 4x^2+5y^2+4x y+1=0

Find the equation of the radical axis of the following circles. x^2+y^2-2x-4y-1=0 x^2+y^2-4x-6y+5=0

The locus of the centre of the circle cutting the circles x^2+y^2–2x-6y+1=0, x^2 + y^2 - 4x - 10y + 5 = 0 orthogonally is

Find the point of intersection of the lines 2x-3y+8=0 and 4x+5y=6

Find the radical centre of the following circles x^2+y^2-4x-6y+5=0 x^2+y^2-2x-4y-1=0 x^2+y^2-6x-2y=0

Find the equation of the radical axis of the following circles. x^2+y^2+2x+4y+1=0 x^2+y^2+4x+y=0

Find the radical centre of the following circles. x^2 + y^2 + 4x - 7 = 0 , 2x^2 + 2y^2 + 3x + 5y - 9 = 0 , x^2 + y^2 + y = 0 .

From the points (3, 4), chords are drawn to the circle x^2+y^2-4x=0 . The locus of the midpoints of the chords is (a) x^2+y^2-5x-4y+6=0 (b) x^2+y^2+5x-4y+6=0 (c) x^2+y^2-5x+4y+6=0 (d) x^2+y^2-5x-4y-6=0

The number of distinct straight lines through the points of intersection of x^(2) - y^(2) = 1" and " x^(2) + y^(2) - 4x - 5 = 0

The equation of the circle having the intercept on the line y+2x=0 by the circle x^2 + y^2 + 4x + 6y = 0 as a diameter is : (A) 5x^2 + 5y^2 - 8x + 16y =0 (B) 5x^2 + 5y^2 + 8x - 16y =0 (C) 5x^2 + 5y^2 - 8x - 16y =0 (D) 5x^2 + 5y^2 + 8x+- 16y =0

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