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Let px+qy + r=0 where p, q, r are in A....

Let `px+qy + r=0` where p, q, r are in A.P. be normal to the family of circles. The equation of the circle of the family which intersects the circle `x^(2)+y^(2)-4x-4y-1=0` orthogonally is :

A

`x^(2)+y^(2)-2x+4y-3=0`

B

`x^(2)+y^(2)+2x-4y-3=0`

C

`x^(2)+y^(2)-2x+4y-5=0`

D

`x^(2)+y^(2)-2x-4y+3=0`

Text Solution

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The correct Answer is:
A
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ML KHANNA-THE CIRCLE -Problem Set (7) (MULTIPLE CHOICE QUESTIONS)
  1. Equation of the circle cutting orthogonally the three circles x^(2)+y^...

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  2. A circle passes through the origin and has its centre on y=x. If i...

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  3. Let px+qy + r=0 where p, q, r are in A.P. be normal to the family of...

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  4. The two circles x^(2)+y^(2)-25=0, and x^(2)+y^(2)-26y+25=0 are such ...

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  5. If the circles x^(2)+y^(2)+2x+2ky+6=0 and x^(2)+y^(2)+2ky+k=0 interse...

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  6. The circle x^(2)+y^(2) + 4x+6y - 8 = 0 and x^(2)+y^(2) +6x-8y +c=0 cu...

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  7. If the circles of same radius a and centers at (2, 3) and 5, 6) cut or...

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  8. (iii)If two circles cut a third circle orthogonally; then the radical ...

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  9. The centre of the circle S=0 lies on the line 2x-2y+9=0 and it cuts th...

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  10. Equation of the circle which passes through origin and whose centre li...

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  11. The circles x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect at an angle of

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  12. The locus of the centre of the circle which cuts the circles x^(2)+y^...

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  13. The locus of the centre of a circle which touches the line x-2=0 and c...

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  14. If a circle passes through the point (1, 2) and cuts the circle x^(2)+...

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  15. If a circle passes through the point (a,b) and cuts the circle x^(2)+...

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  16. If a circle passes through the point (a,b) and cuts the circles x^(2)+...

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  17. x=1 is the radical axis of two of the circles which intersect orthogon...

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  18. The centre of the circle which intersects the three circles, x^(2)+y^(...

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  19. If the chord of contact of tangents from a point P to a given circle p...

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  20. The circles having radii r1a n dr2 intersect orthogonally. The length ...

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