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The centre of the circle passing through...

The centre of the circle passing through the points (a,b),(a,-b),(a+b,a-b) is

A

`((a^(2)-b^(2))/(2b),0)`

B

`(sqrt(a^(2)-b^(2))/(2a),0)`

C

`((a^(2)+b^(2))/(2b),0)`

D

`(sqrt(a^(2)+b^(2))/(2b),0)`

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1A(Circle)
  1. The equation of the circle passing through the points (1, 1),(2,-1),(3...

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  2. The circle passing through the points (1, t), (t, 1) and (t, t) for al...

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  3. The centre of the circle passing through the points (a,b),(a,-b),(a+b,...

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  4. The points (1, 1), (- 6, 0), (-2, 2). (-2,-8) are

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  5. If the points (2, 3), (0, 2), (4, 5) and (0, t) are concyche, then t=

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  6. The points (2k, 3k), (1, 0), (0, 1) and (0, 0) lie on a circle for

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  7. If (m(1),1//m(1)), i=1,2,3,4 are concyclic points, then the value of m...

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  8. The equation of the circle passing through the points (4, 1), (6, 5) a...

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  9. The equation of the circle having centre on the line 3x +4y =5 and pas...

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  10. The equation of the circle passing through (2, 0) and (0, 4) and havin...

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  11. A circle with centre at (2, 4) is such that the line x+y+2 =0 cuts a c...

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  12. The equation of the circle passing through the origin and cuts of inte...

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  13. The equations of the circles which pass through the origin and makes i...

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

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  15. The equation to the cicle of radius 5. which pass through the two poin...

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  16. ABCD is a square with side a. If AB and AD are taken as coordiate axes...

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  17. ABCD is a rectangle wih sides AB=p, BC=q,. If AB and AD are taken nega...

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  18. The equation to the circle circumseribing the triangle forced by the l...

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  19. The equation of the circle circumscribing the triangle formed by x=0, ...

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  20. The circumcentre of the triangle formed by the lines x+y=0, x-y=0 and...

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