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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 `p+q`

A

5

B

13

C

25

D

41

Text Solution

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The correct Answer is:
A
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ARIHANT MATHS-CIRCLE -Exercise For Session 1
  1. If x^2+y^2-2x+2a y+a+3=0 represents the real circle with nonzero radiu...

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  2. 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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  3. Find the equation of the circle with centre (2,2) and passing through ...

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  4. One of the diameters of the circle x^2+y^2-12x+4y+6=0 is given by

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  5. If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle, then fi...

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  6. Area of the circle in which a chord of lengthsqrt2 makes an angle pi/2...

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  7. The lines 2x-3y-5=0 and 3x-4y=7 are diameters of a circle of area 154(...

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  8. If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameters of a circle ...

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  9. An acute triangle PQR is inscribed in the circle x^2+y^2= 25. If Q and...

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  10. If a circle is concentric with the circle x^(2)+y^(2)-4x-6y+9=0 and pa...

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  11. Let AB be a chord of the circle x^2+y^2=r^2 subtending a right angle a...

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  12. Let PQ and RS be tangents at the extremities of the diameter PR of a c...

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  13. Find the centre and radius of circle 5x^(2)+5y^(2)+4x-8y=16.

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  14. Prove that the centres of the circles x^2+y^2=1, x^2+y^2+6x-2y-1=0 and...

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  15. Find the equation of the circle having (1,-2) as its centre and passin...

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  16. Equation of circle passing through the centre of the circle x^2+y^2-4x...

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  17. Prove that the locus of the centre of the circle (1)/(2)(x^(2)+y^(2))+...

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  18. Find the equation of the following curves in cartesian form. If the cu...

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