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Find the centre of the conic 14x^(2) - 4...

Find the centre of the conic `14x^(2) - 4xy + 11y^(2) - 44x - 58y +71=0`

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The correct Answer is:
`= ( 2,3)`
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AAKASH SERIES-PARABOLA-SOLVED EXAMPLES
  1. If the equation of conic 2x^(2) + xy+3y^(2) - 3x+ 5y + lambda =0 repre...

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  2. For what value of lambda the equation of conic 2xy+4x-6y+ lambda=0 rep...

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  3. Find the centre of the conic 14x^(2) - 4xy + 11y^(2) - 44x - 58y +71=0

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  4. Find the coordinates of the vertex and focus and the equations of the ...

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  5. Find the coordinates of the vertex and focus and the equations of the ...

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  6. Find the coordinates of the vertex and focus and the equations of the ...

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  7. Find the vertex, focus, equation of directrix and axis, of parabolas ...

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  8. Find the equation of the parabola whose focus is S (1,-7) and vertex i...

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  9. Find the equation of parabola whose focus is (-2,3) and the directrix ...

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  10. Find the coordinates of the points on the parabola y^(2)=2x whose foca...

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  11. If Q is the foot of the perpendicular from a point p on the parabola y...

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  12. Find the equation of the parabola whose focus is S (3,5) and vertex is...

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  13. If L and L' are the ends of the latus rectum of the parabola x^(2)=6y ...

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  14. Find the equation of the parabola whose axis is parallel to Y-axis and...

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  15. The points (-3,2) and (-3,1) are the end points of latusrectum of a pa...

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  16. If (a^(2) , a-2) be a point interior to the region of the parabola y^(...

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  17. Find the real values of a for which the point (-2a, a+ 1) lies in the ...

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  18. Two parabolas y^(2) = 4a(x- lambda(1) ) and x^(2) = 4a(y- lambda2) alw...

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  19. The cable of a unformely loaded suspension bridge hangs in the form of...

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  20. The line 2x-y +2 =0 touches the parabola y^(2) = 4px. Find P and also ...

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