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The coordinates of the middle point of the chord cut-off by `2x-5y+18=0` by the circle `x^2+y^2-6x+2y-54=0` are `(1,4)` (b) `(2,4)` (c) `(4,1)` (d) `(1,1)`

A

(1,4)

B

(-4,2)

C

(4,1)

D

(6,6)

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FIITJEE-CIRCLE-Assignment Problems (Objective) Level -I
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  2. For a , b in R the maximum [(a-1)(b-1)+(1-sqrt(1-a^2))(1-sqrt(1-b^2))]

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  3. The coordinates of the middle point of the chord cut-off by 2x-5y+18=0...

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  4. The locus of a point such that the tangents drawn from it to the circl...

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  5. The equation of circle touching the line 2x+3y+1=0 at the point (1,-1)...

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  6. The value of k for which two tangents can be drawn from (k,k) to the c...

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  7. If C(1): x^(2)+y^(2) =(3+2sqrt(2))^(2) be a circle. PA and PB are pair...

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  8. Equation of a circle with centre(4,3) touching the circle x^2+y^2=1

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  9. Find the co-ordinate of the point on the circle x^2+y^2-12x-4y +30=0, ...

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  10. The centre of circle inscribed in a square formed by lines x^2-8x+1...

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  11. From any point on the circle x^(2)+y^(2)=a^(2) tangents are drawn to t...

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  12. The equation of the circumcircle of an equilateral triangle is x^2+y^2...

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  13. Four distinct points (2K,3K),(1,0),(0,1) and (0,0) lie on circle when

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  14. A line is drawn through a fixed point P(alpha, B) to cut the circle x...

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  15. The line 4x+3y-4=0 divides the circumference of the circle centred at ...

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  16. The maximum distance of the point (4,4) from the circle x^2+y2-2x-15=0...

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  17. If the circle x^2+y^2+4x+22y+l=0 bisects the circumference of the circ...

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  18. A, B C and D are the points of intersection with the coordinate axes o...

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  19. If the length of the tangents from any point on the circle 15x^(2)+15y...

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  20. ) Six points(x,yi),i=1,2, ,.., 6 are taken on the circle x4 such that ...

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