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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

FIITJEE-CIRCLE-Assignment Problems (Subjective ) Level -I
  1. The abscissae of the two points A and B are the roots of the equation ...

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  2. Two rods of lengths aa n db slide along the x- and y-a xi s , respecti...

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  3. A variable circle passes through the point A(a ,b) and touches the x-a...

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  4. Suppose f(x,y)=0 is the equation of a circle such that f(x,1)=0 has eq...

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  5. if 4alpha^2-5beta^2+6alpha+1=0 , Prove that alphax+betay+1=0 touches ...

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  6. Let A and B be points on the x-axis which are intercepts of circle x...

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

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  8. A circle of constant radius r passes through the origin O and cuts t...

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  9. Find the equation of circle touching the line 2x + 3y + 1=0 at the poi...

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

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  11. If (mi , 1/mi), i= 1, 2, 3, 4 are four distinct points on a circle, sh...

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  12. The centre of a circle (1, 1) and its radius is 5 units. If the centre...

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  13. If the tangents are drawn to the circle x^2+y^2=12 at the point where ...

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  14. The number of integral values of lambda for which x^2+y^2+(1+lambda)x+...

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  15. If two circles x^2+y^2+2gx+2fy=0 and x^2+y^2+2g'x+2f'y=0 touch each o...

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  16. Find the values of alpha for which the point (alpha-1,alpha+1) lies in...

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