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If the equation p x^2+(2-q)x y+3y^2-6q x...

If the equation `p x^2+(2-q)x y+3y^2-6q x+30 y+6q=0` represents a circle, then find the values of `pa n dqdot`

A

2,2

B

3,1

C

3,2

D

3,4

Text Solution

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The correct Answer is:
C
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MAHAVEER PUBLICATION-CO-ORDINATE GEOMETRY OF TWO DIMENSIONS (CONIC SECTION)-QUESTION BANK
  1. The co-ordinates of any point on the circle x^2+y^2=4 are

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  2. The parametric coordinates of a point on the circle x^2 + y^2-2x + 2y-...

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  3. If the equation p x^2+(2-q)x y+3y^2-6q x+30 y+6q=0 represents a circle...

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  4. The circle represented by the equation x ^(2) + y^(2) + 2gx + 2fy + c=...

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  5. The point where the line x=0 touches the circle x^2+y^2-2x-6y+9=0 is

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  6. Position of the point ( 1 , 1 ) with respect to the circle x^2 + y^2-x...

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  7. The equation to a circle with centre(2,1) and touching x axis is

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  8. The circle x^2+y^2-4x-4y+4=0 is

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  9. The equation of tangents drawn from the point (0,1) to the circle x^2+...

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  10. If y=c is a tangent to the circle x^(2)+y^(2)–2x+2y–2 =0 at (1, 1), th...

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  11. The equation of the normal to the circle x^2+y^2=9 at the point (1/sqr...

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  12. The equation of the normal at the point (4,-1) of the circle x^2+y^2-...

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  13. Find the equation of the circle with centre(1,2) and radius 2

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  14. Find the equation of the circle with centre(-2,1) and radius 3

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  15. Find the equation of the circle with center (1/2,1/3) and radius 1/6.

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  16. Find the equation of the circle with centre(-1,-3) and radius sqrt3

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  17. Find the equation of the circle with centre(h,k) and radius sqrt(h^2+k...

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  18. Find the centre and the radius of the given circles. (x+1)^2+(y-2)^2=9

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  19. Find the centre and radius of the circle (x+2)^(2)+(y+3)^(2)=5

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  20. Find the centre and the radius of the circle x^2+y^2+8x+10 y-8=0.

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