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Equation x^(2)+2ax-b^(2)=0 has real root...

Equation `x^(2)+2ax-b^(2)=0` has real roots `alpha,beta and` equation `x^(2)+2px-q^(2)=0` has real roots `gamma, delta`. If circle C is drawn with the points `(alpha, gamma), (beta, delta)` as extremities of a diameter, then the equation of is

A

`x^(2)+y^(2)+2ax+2py-b^(2)-q^(2)=0`

B

`x^(2)+y^(2)+2ax+2py+b^(2)+q^2=0`

C

`x^(2)+y^(2)-2ax-2py+b^(2)+q^(2)=0`

D

`x^(2)+y^(2)+2ax-2py+b^(2)-q^(2)=0`

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A
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1A(Circle)
  1. If A=(1, 2), B=(4, 5) then the equation of the circle having overset(-...

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  2. The equation of the circle through (1, 0) and (0, 1) and having talles...

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  3. Equation x^(2)+2ax-b^(2)=0 has real roots alpha,beta and equation x^(2...

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  4. If alpha, beta the roots of x^(2)+ax+b=0 and gamma,delta the roots of ...

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  5. The circle described on the line joining the points (0,1), (a,b) as di...

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  6. If the circles described on the line joining the points (0,1) and (alp...

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  7. If one end of the diameter of the circle x^(2)+y^(2)-6x+4y-12=0" is "(...

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  8. The point diametrically oppiosite to the point P (1,0) on the circle x...

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  9. The normal to the circle given by x^(2) + y^(2) - 6x + 8y - 144 = 0 at...

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  10. The centre and radius of the eircle with the segment of the line x+y=1...

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  11. If (x, 3) and (3, 5) are the ends of the diameter of a circle with cen...

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  12. The lines 2x-3y=5 and 3x-4y=7 are two diameters of a circle of area 15...

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  13. If the lines 3x-4y-7=0 and 2x-3y-5=0 are two diameters of a circle of ...

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  14. A variable circle passes through the fixed point A(p, q) and touches a...

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

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  16. The area of the circle (x+1)(x+2)+(y-1)(y+3)=0 is

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  17. The centre of the circle (x-2)(x-4)+(y-1)(y+3)=0 is

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  18. The centre of the circle circumscribing the triangle formed by the lin...

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  19. The centre of the incircle of the triangle formed by the line 3x+4y=24...

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  20. Equation of the circle passing through A(1,2), B(5, 2) so that the ang...

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