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Find the equation of a circle of radius `5` which lies within the circle `x^2+y^2+14 x+10 y-26=0` and which touches the given circle at the point `(-1,3)dot`

A

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

B

`x ^(2) + y^(2) + 10x + 2y + 1=0`

C

`x ^(2) + y^(2) + 8x + 4y -4=0`

D

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

Text Solution

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The correct Answer is:
A
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(i) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 6x + 12y + 15 = 0 and of double its radius. (ii) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 2x - 4y + 1 = 0 and whose radius is 5. (iii) Find the equation of the cricle concentric with x^(2) + y^(2) - 4x - 6y - 3 = 0 and which touches the y-axis. (iv) find the equation of a circle passing through the centre of the circle x^(2) + y^(2) + 8x + 10y - 7 = 0 and concentric with the circle 2x^(2) + 2y^(2) - 8x - 12y - 9 = 0 . (v) Find the equation of the circle concentric with the circle x^(2) + y^(2) + 4x - 8y - 6 = 0 and having radius double of its radius.

Find the equation of the circle which passes through the point (1, 1) & which touches the circle x^(2) + y^(2) + 4x – 6y – 3 = 0 at the point (2, 3) on it.

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TARGET PUBLICATION-CIRCLE AND CONICS -COMPETITIVE THINKING
  1. If one of the diameters of the curve ""^(2) + y ^(2) - 4x - 6y +9=0 is...

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  2. If one of the diameters of the circle, given by the equation x ^(2) + ...

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  3. Find the equation of a circle of radius 5 which lies within the circle...

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  4. The equation of the circle which passes through the points of intersec...

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  5. The intercept on the line y=x by the circel x ^(2) + y^(2) -2x =0 is ...

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  6. Let the line segment joining the centres of the circles x^(2)-2x+y^(2)...

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  7. If the lengths of the tangents drawn from P to the circles x ^(2) + y ...

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  8. IF the tangent at (1,7) to the curve x ^(2) = y-6 touches the circle ...

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  9. Find the centre of the circle that passes through the point (1,0) and ...

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  10. The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 a...

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  11. The equation of the parabola with the focus (3,0) and directrix x+3=0 ...

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  12. The equation of the parabola with focus (1,-1) and directrix x + y + ...

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  13. A point on the parabola whose focus is S (1,-1) ans whose vertex is A(...

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  14. The focus of the parabola x ^(2) =-16 y is

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  15. Focus and directrix of the parabola x ^(2) =-8ay are

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  16. The focus of the parabola y^(2)-4y -x + 3 =0 is

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  17. The focus of the parabola (y+ 1)^(2) =-8 (x+2) is

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  18. Consider the equation of a parabola y ^(2) + 4ax =0, where a gt 0. Whi...

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  19. The focal chord of the parabola perpendicular to its axis is called as

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  20. If (2,-8) is at an end of a focal chord of the parabola y^2=32 x , the...

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