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Centre of the circle circumscribed in a ...

Centre of the circle circumscribed in a rectangle formed by the lines `x^(2)-8x+12=0` and `y^(2)-14y+40=0` is

A

(4,7)

B

(7,4)

C

(9,4)

D

(4,9)

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-CIRCLES-EXERCISE II
  1. ABCD is a square with side a. If AB and AD are taken as positive coord...

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  2. Centre of circle passing through A(0,1), B(2,3), C(-2,5) is

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  3. Centre of the circle circumscribed in a rectangle formed by the lines ...

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  4. If the lines 2x+3y+1=0, 6x+4y+1=0 intersect the co-ordinate axes in 4 ...

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  5. Two rods of legths a and b slide along coordinate axes. Such that thei...

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  6. If a line through P(-2,3) meets the circle x^(2)+y^(2)-4x+2y+k=0 at A ...

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  7. The locus of centre of a circle which passes through the origin and cu...

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  8. Equation of circle with centre (3,-1) and which cuts off a chord of le...

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  9. If the line 3x-4y=lamda cuts the circle x^(2)+y^(2)-4x-8y-5=0 in two p...

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  10. If a chord of the circle x^(2)+y^(2)=8 makes equal intercepts of lengt...

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  11. If the chord y=mx+1 of the circle x^(2)+y^(2)=1 subtends an angle of m...

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  12. The triangle PQR is incribed in the circle x^(2)+y^(2)=25.If Q=(3,4) a...

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  13. The radius of circle having centre at (2,1) and whose on of the chord ...

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  14. The locus of th point (l,m). If the line lx+my=1 touches the circle x^...

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  15. Equation of the tangent to the circle x^(2)+y^(2)-2x+4y-4=0 which is p...

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  16. Locus of point of intersection of tangents to the circle x^(2)+y^(2)=a...

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  17. The slope m of a tangent through the point (7,1) to the circle x^(2)+y...

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  18. The tangents at (5,12) and (12,-5) to the circle x^(2)+y^(2)=169 are

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  19. Tangents AB and AC are drawn to the circlex^(2)+y^(2)-2x+4y+1=0 from A...

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  20. The angle between the tangents to the circle with centre (4,5) drawn f...

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