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The value of k so that x^(2)+y^(2)+kx+4y...

The value of k so that `x^(2)+y^(2)+kx+4y+2=0` and `2(x^(2)+y^(2))-4x-3y+k=0` cut orthogonally, is

A

`(10)/(3)`

B

`(-8)/(3)`

C

`(-10)/(3)`

D

1

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Verified by Experts

The correct Answer is:
C
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ML KHANNA-THE CIRCLE -Problem Set (7) (MULTIPLE CHOICE QUESTIONS)
  1. A circle passes through the origin and has its centre on y=x. If i...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. The value of k so that x^(2)+y^(2)+kx+4y+2=0 and 2(x^(2)+y^(2))-4x-3y+...

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