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If the lines 2x -3y=5 and 3x-4y=7 are tw...

If the lines 2x -3y=5 and 3x-4y=7 are two diameters of a circle of radius 7, then the equation of the circle is

A

`x^(2)+y^(2)+2x-4y-47=0`

B

`x^(2)+y^(2)=49`

C

`x^(2)+y^(2)-2x+2y-47=0`

D

`x^(2)+y^(2)=17`

Text Solution

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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 (-7, 1) and having centre a...

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  2. The diameters of a circle pre along 2x+y-7=0 and x+3y- 11=0. Then, the...

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  3. If the lines 2x -3y=5 and 3x-4y=7 are two diameters of a circle of rad...

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  4. The length of the diameter of the circle which touches the x-axis at t...

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  5. If 2x^(2)+by^(2)+4x-6y-1=0 represents a circle, then b=

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  6. If x^(2)+y^(2)-4x+6y+c=0 represents a circle of radius 5 then c=

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  7. If x^(2)+y^(2)+2gx+2fy+9=0 represents a circle with centre (1,-3) then...

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  8. The point (-1,0) lies on the circle x^2+y^2-4x+ 8y + k=0. The radius o...

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  9. The centroid of an equilateral triangle is (0, 0) and the length of th...

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  10. Origin is the centre of a circle passing through the vertices of an eq...

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  11. The circumcircle of a triangle is given by x^(2)+y^(2)-4x+6y-3=0. The ...

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  12. The centres of the three circles x^(2)+y^(2)-10x+9=0, x^(2)+y^(2)-6x+2...

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  13. For the circle x^(2)+y^(2)-4x-2y-36=0, the point (3, 5)

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  14. For the circle 2x^(2)+2y^(2)-5x-4y-3=0 the point (3, 5)

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  15. The power of the point (1, 2) w.r.t the circle x^2 + y^2-4x-6y - 12 =0...

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  16. The value of a, such that the power of the point (1, 6) with respect t...

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  17. The equation (x^(2)-a^(2))^(2)+(y^(2)-b^(2))^(2)= represent points whi...

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  18. The equation x^(2)+y^(2)+4x+6y+13= 0 represents

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  19. The locus of a point which divides the join of A(-1, 1) and a variable...

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  20. If the two circles x^(2)+y^(2)+2gx+c=0 and x^(2)+y^(2)-2fy-c=0 have eq...

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