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The equation ax^2+4xy+y^2+ax+3y+2=0 repr...

The equation `ax^2+4xy+y^2+ax+3y+2=0` represents a parabola. Find the value of `a`.

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ARIHANT MATHS-PARABOLA-Exercise For Session 1
  1. The vertex of the parabola y^2+6x-2y+13=0 is

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  2. If the parabola y^2=4a x\ passes through the point (3,2) then find th...

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  3. Find the value of P such that the vertex of y=x^2+2p x+13 is 4 units a...

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  4. The length of the latusrectum of the parbola whose focus is (3, 3) and...

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  5. If the vertex and focus of a parabola are (3,3) and (-3,3) respectivel...

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  6. If the vertex of the parabola y=x^(2) -8x+c lies on x-axis, then the v...

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  7. The parabola having its focus at (3,2) and directrix along the Y-axis ...

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  8. Let the set of integer be the universal set and let A = set of whole n...

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  9. The equation of the latus retum of the parabola x^(2)+4x+2y=0 is

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  10. The focus of the parabola x^2-8x+2y+7=0 is

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  11. The equation of the parabola with the focus (3,0) and directrix x+3=0 ...

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  12. Equation of the parabola whose axis is parallel to Y- axis and which p...

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  13. Find the equation of the parabola whose focus is (5,3) and directrix i...

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  14. In a group of 60 people, 27 like cold drinks and 42 like hot drinks an...

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  15. Find the vertex , focus, axis , directrix and latusrectum of the parab...

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  16. Find the name of the conic represented by sqrt((x/a))+sqrt((y/b))=1.

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  17. The curve described parametrically by x=t^2+t+1 , and y=t^2-t+1 repres...

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  18. Prove that the equation of the parabola whose vertex and focus are on ...

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  19. Find the equatin to the parabola whose axis is parallel to the y-xis a...

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  20. The equation ax^2+4xy+y^2+ax+3y+2=0 represents a parabola. Find the va...

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