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Find the equations to the circles which ...

Find the equations to the circles which touch the y-axis and pass through (-2, 1) and (-4, 3) .

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The correct Answer is:
`x^(2) + y^(2) + 4x - 6y + 9 = 0` and `x^(2) + y^(2) + 20x + 10 y + 25 = 0`
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CHHAYA PUBLICATION-CIRCLE-Exercise 3 (Long Answer Type Questions)
  1. Find the equations to the circles which touch the y-axis and pass thro...

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  2. If the two straight lines 3x - 2y = 8 and 2x - y = 5 lie along two dia...

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  3. A circle touches the lines x = 0 , y = 0 and x + y = 1. If the centre ...

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  4. Find the equations to the circles which touch the axis of y at a dista...

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  5. A circle passes through the point (-2, 1) and touches the straight lin...

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  6. Find the equation of the circle which touches the x-axis at a distance...

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  7. Show that the circles x^(2) + y^(2) - 4x + 6y + 8 = 0 and x^(2) + y^(...

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  8. Prove that the circles x^(2) + y^(2) + 4x - 10y - 20 = 0 and x^(2) + y...

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  9. If the circles x^(2) + y^(2) + 2ax + c^(2) = 0 and x^(2) + y^(2) + 2by...

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  10. Prove that the circles x^(2) + y^(2) - 2x - 4y - 12 = 0 and 3x^(2) + 3...

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  11. Show that the circle x^(2) + y^(2) + 6(x-y) + 9 = 0 touches the coordi...

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  12. A circle through the common points of the circles x^(2) + y^(2) - 2x ...

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  13. The circle x^(2) + y^(2) + 2x - 4y - 11 = 0 and the line x-y+1=0 inter...

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  14. Find the equation to the circle described on the common chord of the c...

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  15. Find the equation to the locus of mid-points of chords drawn through t...

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  16. A circle passes through the origin O and intersects the coordinate axe...

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  17. Find the equation of a circle circumscribing the triangle whose sides ...

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  18. Find the area of the equilateral triangle inscribed in the circle x^(2...

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  19. Find the area of the equilateral triangle inscribed in the circle x^(2...

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  20. Prove analytically that the straight line joining the middle point of ...

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