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ABCD is a square 2a unit. Taking AB and ...

ABCD is a square 2a unit. Taking AB and AD as axes of coordinates, the equation to the circle which touches the sides of the square is

A

`x^(2)+y^(2)+ax+ay+a^(2)=0`

B

`x^(2)+y^(2)+2ax+2ay+a^(2)=0`

C

`x^(2)+y^(2)-ax-ay+a^(2)=0`

D

`x^(2)+y^(2)-2ax-2ay+a^(2)=0`

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1B(Circle-Line)
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  2. The circle passing through (1,-2) and touching the axis of x at (3,0) ...

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  3. ABCD is a square 2a unit. Taking AB and AD as axes of coordinates, the...

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  4. The equation of the circle whose centre lies in the first quadrant and...

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  5. The equation of the circle having centre on the line x+y=1 and touchin...

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  6. The equation to the circles which touch the lines 3x-4y+1=0, 4x+3y-7=0...

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  7. The equation of the circle which has a radius 5 and tangent as the lin...

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  8. The equation of the circle passing through the point (1,-2) and having...

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  9. The equation of the circles which touch the y-axis at a distance 4from...

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  10. Consider a family of circles which are passing through the point (-1,1...

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  11. A variable circle passes through the fixed point (2,0) and touches the...

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  12. If the line x+3y=0 is tangent at (0,0) to the circle of radius 1, then...

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  13. O is the origin and OA, OB are a pair of tangents to the x^(2)+y^(2)+2...

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  14. If O is the origin OP, OQ are the tangent to the circle x^(2)+y^(2)+2g...

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  15. Tangents PA and PB are drawn from P(a,b) to the circle x^(2)+y^(2)=r^(...

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  16. A circle touches x-axis and cuts off a constant length 2l from the y-a...

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  17. A circle passes through P(a,b) and touches the x-axis. The locus of th...

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  18. A rod PQ of length 2a sides with its ends on the axes the locus of the...

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  19. If O=(0,0), A=(1,0) and B=(1//2, sqrt3//2) then the centre of the circ...

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  20. If a chord of the circle x^(2)+y^(2)=8 makes equal intercepts of lengt...

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