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ABCD is a square in first quadrant whose...

`ABCD` is a square in first quadrant whose side is a, taking `AB and AD` as axes, prove that the equation to the circle circumscribing the square is `x^2+ y^2= a(x + y)`.

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. If the lines a1x+b1y+c1=0 and a2x+b2y+c2=0 cut the coordinae axes at c...

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  2. If a circle passes through the points of intersection of the coordinat...

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  3. ABCD is a square in first quadrant whose side is a, taking AB and AD a...

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  4. If the points (2, 0), (0, 1), (4, 5)and (0, c) are concyclic, then th...

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  5. Find the point of intersection of the following pairs of lines: b x+a ...

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  6. Two perpendicular tangents to the circle x^2 + y^2= a^2 meet at P. The...

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  7. The equation of tangents drawn from the origin to the circlex^2+y^2-2r...

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  8. If from any point P on the circle x^2+y^2+2gx+2fy+c=0, tangents are dr...

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  9. If the equation of a given circle is x^2+y^2=36 , then the length of t...

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  10. Find the angle which the common chord of x^2+y^2-4x=0 and x^2+y^2=16 s...

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  11. Show that the equation of the circle passing through (1, 1) and the ...

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  12. The tangents to x^2+y^2=a^2 having inclinations alpha and beta interse...

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  13. Equation of a circle with centre(4,3) touching the circle x^2+y^2=1

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  14. Find the number of common tangents that can be drawn to the circles...

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  15. If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find ...

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  16. Find the condition if the circle whose equations are x^2+y^2+c^2=2a x ...

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  17. The distance between the chords of contact of tangents to the circle x...

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  18. The condition that the chord xcosalpha+ysinalpha=p=0 of x^2+y^2-a^2=0 ...

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  19. The locus of the centres of the circles which touch x^2+y^2=a^2 and x^...

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  20. Let P be a point on the circle x^2+y^2=9,Q a point on the line 7x+y+3=...

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