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The number of such points (a+1,sqrt3a),...

The number of such points `(a+1,sqrt3a)`, where a is any integer, lying inside the region bounded by the circles `x^2 +y^2-2x-3=0` and `x^2+y^2-2x-15=0`, is

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Any circle through the point of intersection of the lines x+sqrt(3)y=1...

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  2. A straight line moves so that the product of the length of the perp...

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  3. The number of such points (a+1,sqrt3a), where a is any integer, lying...

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  4. A tangent is drawn to each of the circles x^2+y^2=a^2 and x^2+y^2=b^2d...

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  5. Perpendiculars are drawn, respectively, from the points Pa n dQ to the...

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  6. Find the locus of the midpoint of the chord of the circle x^2+y^2-2x-2...

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  7. Find the center of the smallest circle which cuts circles x^2+y^2=1 an...

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  8. A point moves so that the sum of the squares of the perpendiculars let...

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  9. From a point P on the normal y=x+c of the circle x^2+y^2-2x-4y+5-lambd...

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  10. The circle x^2+y^2-4x-4y+4=0 is inscribed in a variable triangle O A B...

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  11. Consider three circles C1, C2 and C3 such that C2 is the director circ...

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  12. The line 9x+y-18=0 is the chord of contact of the point P(h , k) wit...

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  13. A circle x^2 +y^2 + 4x-2sqrt2 y + c = 0 is the director circle of circ...

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  14. Tangents are drawn to the circle x^2+y^2=9 at the points where it is ...

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  15. Find the length of the chord of contact with respect to the point on ...

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  16. The distance between the chords of contact of tangents to the circle x...

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  17. If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find ...

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  18. Find the number of common tangent to the circles x^2+y^2+2x+8y-23=0 an...

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  19. Two variable chords A Ba n dB C of a circle x^2+y^2=r^2 are such that ...

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  20. Find the equation of the chord of the circle x^2+y^2=9 whose middle po...

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