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The equation of the circle which touches...

The equation of the circle which touches the circle `x^2+y^2-6x+6y+17 = 0` externally and to which the lines `x^2-3 xy-3x + 9y = 0` are normals, is

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The equation of the circle which touches the circle x^(2)+y^(2)-6x+6y+17=0 externally and to which the lines x^(2)-3xy-3x+9y=0 are normals,is

STATEMENT-1 : Equation of circle which touches the circle x^(2) + y^(2) - 6x +6y + 17 = 0 externally and to which the lines x^(2) - 3xy - 3x + 9y = 0 are normal is x^(2) + y^(2) - 6x - 2y +1 = 0 . STATEMENT-2 : Equation of circle which touches the circle x^(2) + y^(2) -6x + 6y + 17 = 0 internally and to which the line x^(2) - 3xy - 3x + 9y = 0 are normal is x^(2) + y^(2) -6x - 2y -15 = 0 . STATMENT-3 : Equation of circle which is orthogonal to circle x^(2) + y^(2) -6x + 6y + 17 = 0 and have normals along x^(2) -3xy -3x + 9y =0 is x^(2) + y^(2) - 6x -2 y-5 = 0 .

The equation of the circle concentric with the circle x^(2) + y^(2) - 6x - 4y - 12 =0 and touching y axis

The equation of the normal at (1,2) to the circle x^(2)-y^(2)-4x-6y-12=0 is

Locus of centre of a circle which touches x^2+y^2-6x-6y+14=0 externally and also touches y-axis

Find the equation of the circle , centred at (-1,4) , which touches the circle x^(2) + y^(2) - 6x - 2y + 1 = 0 externally

Find the equation of the circle concentric with the circle x^(2)+y^(2)-4x-6y-3=0 and which touches the y axis

Equation of the circle concentric with the circle x^(2) + y^(2) - 4x - 6y - 3 = 0 , and touching Y-axis , is

Find the equations of the two circles which intersect the circles x^2+y^2-6y+1=0 and x^2+y^2-4y+1=0 orthogonally and touch the line 3x+4y+5=0

ARIHANT MATHS-CIRCLE -Exercise (Subjective Type Questions)
  1. Find the equation of the circle passing through (1,0)a n d(0,1) and ha...

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  2. The equation of the circle which touches the circle x^2+y^2-6x+6y+17 =...

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  3. A line meets the coordinate axes at A and B. A circle is circumscribed...

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  4. Equation of a circle which passes through the point (2, 0) and whose c...

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  5. Tangents are drawn from external poinl P(6,8) to the circle x^2+y^2 =...

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  6. 2x-y+4=0 is a diameter of a circle which circumscribes a rectangle ABC...

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  7. Find the radius of the smalles circle which touches the straight line ...

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  8. If the circle C1: x^2 + y^2 = 16 intersects another circle C2 of radiu...

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  9. Let 2x^2 +y^2-3xy = 0 be the equation of a pair of tangents drawn from...

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  10. The circle x^2+y^2=1 cuts the x-axis at Pa n dQdot Another circle with...

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  11. If the lines a1x+b1y+c1=0 and a2x+b2y+c2=0 cut the coordinae axes at c...

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  12. The centre of the circle S=0 lie on the line 2x – 2y +9=0 & S=0 cuts o...

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  13. Find the condition on a, b, c such that two chords of the circle x^2 +...

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  14. Two straight lines rotate about two fixed points (-a, 0) and (a, 0) in...

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  15. The base AB of a triangle is fixed and its vertex C moves such that si...

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  16. Consider a curve ax^2 + 2hxy + by^2-1=0 and a point P not on the curve...

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  17. Tangents drawn from the point P(1,8) to the circle x^2 +y^2 -6x -4y-11...

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  18. The centres of two circles C(1) and C(2) each of unit radius are at a...

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  19. If P and Q are the points of intersection of the circles x^2+""y^2+...

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  20. If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two dis...

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