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The normal at the point (3, 4) on a circ...

The normal at the point (3, 4) on a circle cuts the circle at the point (-1,-2). Then the equation of the circle is

A

`x^(2)+y^(2)+2x-2y-13=0`

B

`x^(2)+y^(2)-2x-2y-11=0`

C

`x^(2)+y^(2)-2x+2y+12=0`

D

`x^(2)+y^(2)-2x-2y+14=0`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-CIRCLES-Chapter Test
  1. The equation of the circle which has a tangent 2x-y-1=0 at (3, 5) on i...

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  2. The angle of intersection of the circles x^(2)+y^(2)=4 and x^(2)+y^(2...

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  3. The normal at the point (3, 4) on a circle cuts the circle at the poin...

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  4. The inverse point of (1, -1) with respect to x^(2)+y^(2)=4, is

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  5. A variable circle passes through the fixed point (2, 0) and touches y-...

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  6. The radius of the circle r^(2)-2sqrt(2r) (cos theta + sin theta)-5=0, ...

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  7. A straight line of length 9 units slides with ends A, B always on x an...

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  8. The radius of the larger circle lying in the first quadrant and touchi...

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  9. A line is at a distance 'c' from origin and meets axes in A and B. The...

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  10. The number of circles that touch all the straight lines x+y-4=0, x-y+2...

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  11. Find the number of integral values of lambda for which x^2+y^2+lambdax...

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  12. Show that the four points of intersection of the lines : (2x-y + 1) (x...

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  13. If 2x+3y-6=0 and 9x+6y-18=0 cuts the axes in concyclic points, then th...

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  14. The line lx+my+n=0 intersects the curve ax^2 + 2hxy + by^2 = 1 at the ...

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  15. Two circles, each of radius 5, have a common tangent at (1, 1) whose e...

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  16. PQ is a chord of the circle x^(2)+y^(2)-2x-8=0 whose mid-point is (2, ...

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  17. The number of circles belonging to the system of circles 2(x^(2)+y^(2)...

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  18. The equation of the circle passing through (0, 0) and belonging to the...

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  19. If (-1/3,-1) is a centre of similitude for the circles x^2+y^2=1 and x...

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  20. If P(1, 1//2) is a centre of similitude for the circles x^(2)+y^(2)+4...

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