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Find the equation of the circle passing through `(1,0)a n d(0,1)` and having the smallest possible radius.

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ARIHANT MATHS-CIRCLE -Exercise (Subjective Type Questions)
  1. Find the equation of the circle passing through (1,0)a n d(0,1) and ha...

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  2. The equation of the circle which touches the circle x^2+y^2-6x+6y+17 =...

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  3. A line meets the coordinate axes at A and B. A circle is circumscribed...

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  4. Equation of a circle which passes through the point (2, 0) and whose c...

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  5. Tangents are drawn from external poinl P(6,8) to the circle x^2+y^2 =...

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  6. 2x-y+4=0 is a diameter of a circle which circumscribes a rectangle ABC...

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  7. Find the radius of the smalles circle which touches the straight line ...

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  8. If the circle C1: x^2 + y^2 = 16 intersects another circle C2 of radiu...

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  9. Let 2x^2 +y^2-3xy = 0 be the equation of a pair of tangents drawn from...

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  10. The circle x^2+y^2=1 cuts the x-axis at Pa n dQdot Another circle with...

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  11. If the lines a1x+b1y+c1=0 and a2x+b2y+c2=0 cut the coordinae axes at c...

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  12. The centre of the circle S=0 lie on the line 2x – 2y +9=0 & S=0 cuts o...

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  13. Find the condition on a, b, c such that two chords of the circle x^2 +...

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  14. Two straight lines rotate about two fixed points (-a, 0) and (a, 0) in...

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  15. The base AB of a triangle is fixed and its vertex C moves such that si...

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  16. Consider a curve ax^2 + 2hxy + by^2-1=0 and a point P not on the curve...

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  17. Tangents drawn from the point P(1,8) to the circle x^2 +y^2 -6x -4y-11...

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  18. The centres of two circles C(1) and C(2) each of unit radius are at a...

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  19. If P and Q are the points of intersection of the circles x^2+""y^2+...

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

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