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Statement 1 : If a circle S=0 intersects...

Statement 1 : If a circle `S=0` intersects a hyperbola `x y=4` at four points, three of them being (2, 2), (4, 1) and `(6,2/3),` then the coordinates of the fourth point are `(1/4,16)` .
Statement 2 : If a circle `S=0` intersects a hyperbola `x y=c^2` at `t_1,t_2,t_3,` and `t_4` then `t_1t_2t_3t_4=1`

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ARIHANT MATHS-CIRCLE -Exercise (Subjective Type Questions)
  1. The centres of two circles C(1) and C(2) each of unit radius are at a...

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  2. If P and Q are the points of intersection of the circles x^(2)+y^(2)+3...

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  3. If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two dis...

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  4. The circle passing through the point ( -1,0) and touching the y-axis ...

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  5. Statement 1 : If a circle S=0 intersects a hyperbola x y=4 at four poi...

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  6. The two circles x^2+""y^2=""a x and x^2+""y^2=""c^2(c"">""0) touch eac...

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  7. The locus of the mid-point of the chord of contact of tangents drawn f...

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  8. A tangent PT is drawn to the circle x^(2)+y^(2)=4 at the point P(sqrt3...

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  9. A tangent PT is drawn to the circle x^2 + y^2= 4 at the point P(sqrt3,...

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  10. The length of the diameter of the circle which touches the x-axis at ...

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  11. The circle passing through (1, -2) and touching the axis of x at (3,...

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  12. Circle(s) touching x-axis at a distance 3 from the origin and having a...

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  13. Let C be the circle with centre at (1, 1) and radius = 1. If T is th...

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  14. A circle S passes through the point (0, 1) and is orthogonal to the ci...

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  15. Locus of the image of the point (2, 3) in the line (2x-3y""+""4)""+"...

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  16. The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 a...

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  17. The centres of those circles which touch the circle, x^2+y^2-8x-8y-4=0...

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  18. If one of the diameters of the circle, given by the equation, x^2+y^2-...

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  19. Let RS be the diameter of the circle x^2+y^2=1, where S is the point (...

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  20. For how many values of p, the circle x^(2)+y^(2)+2x+4y-p=0 and the coo...

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