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Angle between tangents at the ends chord...

Angle between tangents at the ends chords of circle `(x-1)^(2)+(y-2)^(2)=16` is `60^(@)` then locus of midpoints of all such chords is

A

`(x-1)^(2)+(y-2)^(2)=2`

B

`(x-1)^(2)+(y-2)^(2)=4`

C

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

D

`(x-1)^(2)+(y-2)^(2)=16`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-CIRCLES-PRACTICE EXERCISE
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  2. The locus of the midpoints oof chords of the circle x^(2)+y^(2)=4 whic...

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  3. Angle between tangents at the ends chords of circle (x-1)^(2)+(y-2)^(2...

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  4. The circle x^(2)+y^(2)-4x-6y-12=0, x^(2)+y^(2)+6x-8y+21=0 are

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  5. The circle x^(2)+y^(2)2x+4y+4y=0,x^(2)+y^(2)+4x-2y+1=0 are

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  6. The number of common tangents to x^(2)+y^(2)=1, x^(2)+y^(2)-6x-8y+24=0...

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  7. The number of common tangents to x^(2)+y^(2)=4,(x-3)^(2)+(y-4)^(2)=9 i...

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  8. The internal cent re of similitude of two circles (x-2)^(2)+(y-3)^(2)=...

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  9. The external centre of similitude of the two circles x^(2)+y^(2)-2x-6y...

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  10. It is not possible to find the equation of a cicle I: If radius cent...

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  11. Read of the following two statements I: sqrt(3)x-y+4=0 is tangent to...

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  12. The number of parameters of the equation ax^(2)+ay^(2)+2fy+c=0 is

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  13. If the circles x^(2)+y^(2)=a^(2), x^(2)+y^(2)-6x-8y+9=0 touch external...

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  14. The condition that the circles x^(2)+y^(2)+2ax+c=0, x^(2)+y^(2)+2by+c=...

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  15. The equation to the circle whose radius is 3 and which touches interna...

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  16. A circle of radius 2 units rolls inside the ring of the circle x^(2)+y...

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

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  18. The area of the quadrilateral formed by the tangents from the point (4...

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  19. The area (in sq units) of the triangle formed by the tangent, normal a...

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