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Show that the two circles x^(2) + y^(2...

Show that the two circles `x^(2) + y^(2) - 4x + 10y + 20 = 0 ` and ` x^(2) + y^(2) + 8x - 6y - 24 =0 ` touch each other . Also , find co-ordinates of their point of contact .

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The correct Answer is:
` therefore P -= ((1)/(5), - (13)/(5))`
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MARVEL PUBLICATION-CIRCLE AND CONICS -MISCELLANEOUS MCQs
  1. Show that the two circles x^(2) + y^(2) - 4x + 10y + 20 = 0 and ...

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  2. If the equation ax^(2) + by^(2) + (a + b - 4) xy - ax - by - 20 = ...

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  3. Circle x^(2) + y^(2) - 8x + 4y + 4 = 0 touches

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  4. If the circles of same radius a and centres (2,3), (5,6) cut orthogona...

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  5. If the equation a^(2) x^(2) + (a^(2) - 5a + 4) xy + (3a - 2) y^(2...

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  6. The (x-x1)(x-x2)+(y-y1)(y-y2=0 represents a circle whose centre is

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  7. Two circles with centres at C(1) , C(2) and having radii r(1) , r(2...

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  8. If the two circles x^(2) + y^(2) + ax = 0 " and " x^(2) + y^(2) = c^(...

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  9. If the line x + 2by + 7 = 0 is a diameter of the circle x^(2) ...

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  10. If the circle x^(2) + y^(2) - kx - 12y + 4 = 0 touches the X-axis th...

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  11. The equation of the circle which touches both axes and whose centre is...

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  12. A circle touches the y-axis at the point (0, 4) and cuts the x-axis in...

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  13. Centre of the circle (x - x(1)) (x-x(2)) + (y-y(1)) (y- y(2)) = 0 ...

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  14. Delta ABC is right angled at C . If A -= (-3,4) " and " B -= (3,4) t...

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  15. If the equation , px^(2) + (2-q) xy + 3y^(2) - 6qx + 30y +6y = 0 ...

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  16. Circle x ^(2) + y^(2)+6y=0 touches

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  17. Equation of the circle with centre at (1,-2) , and passing through th...

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  18. Equation of the circle concentric with the circle x^(2) + y^(2) + ...

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  19. Equation of the circle passing through the three points (0, 0) , (0...

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  20. A circle is concentric with the circle x^(2) + y^(2) - 6x + 12y + ...

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  21. Equation of the circle with centre on the X-axis , radius 4 , and pass...

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