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The equation of the circle passing throu...

The equation of the circle passing through the points (4, 1), (6, 5) and having the centre on the line 4x+y- 16 =0 is

A

`x^(2)+y^(2)-6x-8y+15=0`

B

`15(x^(2)+y^(2))-94x+18y+55=0`

C

`x^(2)+y^(2)-4x-3y=0`

D

`x^(2)+y^(2)+6x-4y=0`

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1A(Circle)
  1. The points (2k, 3k), (1, 0), (0, 1) and (0, 0) lie on a circle for

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. A rectangle ABCD is inscribed in a circle with a diameter lying along ...

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  17. If 4y=x +7 is a diameter of the circumscribing circle of the rectangle...

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  18. A circle is inscribed ina n equilateral triangle and a square is inscr...

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  19. A and B are fixed points and P moves such that PA=nPB and n ne 1. The ...

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  20. The locus of a point, which moves in such a way that the sum of the sq...

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