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Show that the circle x^(2)+y^(2)-2ax-2ay...

Show that the circle `x^(2)+y^(2)-2ax-2ay+a^(2)=0` touches both the coordinate axes.

A

x-axis

B

y-axis

C

both axes

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-THE CIRCLE -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. Equation of the circle through origin which cuts intercepts of lengths...

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  2. Circles are drawn through the point (2, 0) to cut intercept of length ...

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  3. Show that the circle x^(2)+y^(2)-2ax-2ay+a^(2)=0 touches both the coor...

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  4. The equation of circle through origin and cutting intercepts of length...

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  5. Equations of circle which touch y-axis at (0, 3) and intercepts a leng...

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  6. Tangent to the parabola y=x^(2)+6 at (1, 7) touches the circle x^(2)+...

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  7. Find the equation of a circle which touches y-a xi s at a distance of ...

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  8. The equation of the circle touching the axis of x at the origin and th...

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  9. Find the equation of the circle which touches both the axes and the ...

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  10. The equation of the circle passing through (2, 1) and touching co-ordi...

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  11. The equation of a circle passing through (3,6) touching both the axes ...

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  12. The equation of common tangent to the circles x^(2)y^(2) +14x-4y +2...

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  13. The equations of the circles which touch both the axes and the line x ...

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  14. A circle of radius 5 units touches both the axes and lies in the first...

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  15. The radius of a circle touching x-axis and having centre (2, 4) is

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  16. If the circle x ^(2) + y^(2) + 2gx + 2fy+ c=0 touches X-axis, then

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  17. The circle x^(2)+y^(2) - 2x+c=0 touches y-axis, then c =

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  18. If the two straight lines 3x - 2y - 8=0 and 2x - y -5=0 lie along two...

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  19. Two circles x^(2)+y^(2)=6 and x^(2)+y^(2)- 6x+8=0 are given. Then the...

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  20. The equation of the circle passing through the intersection of the cir...

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