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Statement 1 : Let S1: x^2+y^2-10 x-12 y-...

Statement 1 : Let `S_1: x^2+y^2-10 x-12 y-39=0,` `S_2 x^2+y^2-2x-4y+1=0` and `S_3:2x^2+2y^2-20 x-24 y-78=0.` The radical center of these circles taken pairwise is `(-2,-3)dot` Statement 2 : The point of intersection of three radical axes of three circles taken in pairs is known as the radical center.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Two circle are externally tangent. Lines PAB and P A 'B ' are common t...

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  2. Prove that quadrilateral A B C D , where A B=x+y-10 ,B C=x-7y+50=0,C D...

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  3. Statement 1 : Let S1: x^2+y^2-10 x-12 y-39=0, S2 x^2+y^2-2x-4y+1=0 an...

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  4. Find the locus of the midpoint of the chords of the circle x^2+y^2-ax-...

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  5. Let the lines (y-2)=m1(x-5) and (y+4)=m2(x-3) intersect at right angle...

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  6. A variable circle passes through the point A(a, b) and touches the x-a...

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  7. Find the equation of the circle if the chord of the circle joining (1,...

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  8. Find the equation of the circle which passes through (1, 0) and (0, 1)...

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  9. Tangents are drawn from the origin to the circle x^2+y^2-2h x-2h y+h^2...

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  10. Let A (-2,2)and B (2,-2) be two points AB subtends an angle of 45^@ at...

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  11. Consider the family of circles x^2+y^2-2x-2lambday-8=0 passing throug...

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  12. If a circle passes through the point (0,0),(a ,0)a n d(0, b) , then fi...

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  13. The line 3x+6y=k intersects the curve 2x^2+3y^2=1 at points A and B . ...

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  14. Find the equation of the circle which passes through the points (1,-2)...

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  15. If x , y in R satisfies (x+5)^2+(y-12)^2=(14)^2, then the minimum val...

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  16. Show that a cyclic quadrilateral is formed by the lines 5x+3y=9,x=3y ,...

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  17. A circle x^2+y^2+4x-2sqrt(2)y+c=0 is the director circle of the circle...

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  18. A point P moves in such a way that the ratio of its distance from two ...

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  19. The sum of the slopes of the lines tangent to both the circles x^2+y^2...

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  20. Prove that the maximum number of points with rational coordinates on a...

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