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If the line 3 x-2 y+6=0 meets x -axis an...

If the line `3 x-2 y+6=0` meets `x` -axis and `y` -axis respectively at `A` and `B`, then the equation of the circle with radius `A B` and centre at `A` is

A

`x^(2)+y^(2)+4 x+9=0`

B

`x^(2)+y^(2)+4 x-9=0`

C

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

D

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

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
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  3. If the line 3 x-2 y+6=0 meets x -axis and y -axis respectively at A an...

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  4. If P(1), P(2) and P(3) are the perimeters of the three circleS and ...

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  5. The number of circleS that touch all the three lines x+y-1=0, x-y-1=0...

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  6. Which of the following equations gives a circle

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  9. If x-y+1=0 meets the circle. x^(2)+y^(2)+y-1=0 at A and B, then t...

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  10. The ltngth of the tangtnt drawn to the circle x^(2)+y^(2)-2 x+4 y-11=...

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  13. The equation of the circle having its centre on the line x +2y - 3 = 0...

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  14. The circleS x^(2)+y^(2)+2 a x+c^2=0 and x^(2)+y^(2)+2 b y+c^2=0 touch...

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  15. To which of the following circleS, the line y-x+3=0 is a normal at (3...

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  16. The equation of the circle which touches both the axes and the line 4...

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  17. circle is drawn through the point (2,0) to cut intercept of length 5 u...

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