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In triangle A B C , the equation of side...

In triangle `A B C` , the equation of side `B C` is `x-y=0.` The circumcenter and orthocentre of triangle are (2, 3) and (5, 8), respectively. The equation of the circumcirle of the triangle is a) `x^2+y^2-4x+6y-27=0` b) `x^2+y^2-4x-6y-27=0` c) `x^2+y^2+4x-6y-27=0` d) `x^2+y^2+4x+6y-27=0`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  2. A variable chord of the circle x^2+y^2=4 is drawn from the point P(3,5...

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  3. In triangle A B C , the equation of side B C is x-y=0. The circumcente...

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  4. Let a and b represent the lengths of a right triangles legs. If d is t...

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  5. If the chord y=m x+1 of the circles x^2+y^2=1 subtends an angle of 45^...

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  6. (6,0),(0,6),a n d(7,7) are the vertices of a A B C . The incircle of ...

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  7. If O is the origin and O Pa n dO Q are the tangents from the origin to...

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  8. The range of values of r for which the point (-5+r/sqrt(2),-3+r/sqrt...

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  9. A square is inscribed in the circle x^2+y^2-2x+4y-93=0 with its sides ...

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  10. Statement 1 : The least and greatest distances of the point P(10 ,7...

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  11. Statement 1 : The number of circles passing through (1, 2), (4, 8) ...

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  12. The locus of the midpoint of a line segment that is drawn from a given...

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  13. The difference between the radii of the largest and smallest circles w...

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  14. The centre of a circle passing through (0,0), (1,0) and touching the C...

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  15. Each question has four choices a, b, c and d, out of which only one is...

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  16. Statement 1 : If the chords of contact of tangents from three points...

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  17. Statement 1 : Circles x^2+y^2=144 and x^2+y^2-6x-8y=0 do not have any ...

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  18. The locus of the point from which the lengths of the tangents to the ...

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  19. The locus of the center of the circle touching the line 2x-y=1 at (1,...

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  20. The distance from the center of the circle x^2+y^2=2x to the common ch...

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