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The focus of the parabola y = 2x^2 + x i...

The focus of the parabola `y = 2x^2 + x` is

A

(0, 0)

B

`(1/2,1/4)`

C

`(-1/4,0)`

D

`(-1/4,8)` .

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MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. The equation x^2/(2-lambda)+y^2/(lambda-5)+1=0 represents an ellipse i...

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  2. The length of the latus-rectum of the parabola x^2- 4x-8y +12= 0 is:

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  3. The focus of the parabola y = 2x^2 + x is

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  4. The axis of the parabola 9y^2-16x-12y-57=0 is :

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  5. The equation x^(2)+3y^(2)-9x+2y+1=0 represents

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  6. A bridge is in the shape of a semi-ellipse. It is 400 metres One and h...

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  7. The eccentricity of the ellipse4x^2 + 9y^2 = 36 is :

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  8. The foci of the ellipse 9x^2 +4y^2 =36 are

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  9. The foci of the ellipse 25(x+1)^2 + 9(y+2)^2 = 225, are at :

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  10. The lines a(1)x+b(1)y+c(1)=0 and a(2)x+b(2)y+c(2)=0 are perpendicular ...

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  11. The equation of straight line passing through the point (2, 3) and per...

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  12. The equations y=x sqrt3, y =1 are the sides of :

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  13. If a,b,c are in AP then ax + by + c = 0 represents

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  14. The coordinates of the foot of the perpendicular from (2,3) to the lin...

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  15. Find the orthocentre of the triangle formed by the lines xy = 0 and x+...

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  16. If the sum of the distances of a variable point from two perpendicular...

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  17. Point Q is symmetric to P (4, -1) with respect to the bisector of the ...

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  18. The radius of the circle, which is touched by the line y= x and has it...

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  19. Tangents drawn from the point (4, 3) to the circle x^2+y^2-2x-4y=0 are...

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  20. If l denotes the semi-latus rectum of the parabola y^2= 4ax and SP and...

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