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Three distinct points `A, B and C` are given in the 2-dimensional coordinate plane such that the ratio of the distance of any one of them from the point `(1, 0)` to the distance from the point `(-1, 0)` is equal to `1:3.` Then the circumcentre of the triangle `ABC` is at the point (1) `(0,0)` (2) `(5/4,0)` (c) `(5/2,0)` (d) `(5/3,0)`

A

`(0,0)`

B

`((5)/(4),0)`

C

`((5)/(2), 0)`

D

`((5)/(3),0)`

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-CIRCLE AND CONICS -EVALUATION TEST
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  8. The equation of the the circle having x - y - 2 = 0 and x - y + 2 = 0 ...

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  9. The sum of the minimum distance and the maximum distnace from the poin...

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  10. Let f(x,y) =0 be the equation of a circle. If f (0, lamda)=0 has equal...

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  11. The distance between the vertex of the parabola y = x^2 - 4x + 3 and...

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  12. Let a circle touches to the directrix of a parabola y ^(2) = 2ax has i...

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  13. Through the vertex 'O' of parabola y^2=4x, chords OP and OQ are drawn...

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  14. For each point (a,y) on an ellipse, the sum of the distances from (x,y...

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  15. The line passing through the extremity A of the major exis and extremi...

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  16. In an ellipse, if the lines joining focus to the extremities of the mi...

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  17. If the area of the auxiliary circle of the ellipse (x ^(2))/(a ^(2)) +...

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  18. If A and B are two fixed points and P is a variable point such that P...

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  19. If A and B are two fixed points and P is a variable point such that P...

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  20. If the line y = 7x - 25 meets the circle x^(2) + y^(2) = 25 in the poi...

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