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The curve describe parametrically by x ...

The curve describe parametrically by `x =t^(2) +t+1,y=t^(2) -t+1` represents

A

hyperbola

B

eliipse

C

parabola

D

rectangular hyperbola

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Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-REVISION EXERCISE -PARABOLA
  1. The curve describe parametrically by x =t^(2) +t+1,y=t^(2) -t+1 repre...

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  2. A telegraphic wire suspended between two poles of height 15 mts is in ...

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  3. Angle subtended by double ordinate of length 32 sqrt ( 3) of the par...

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  4. In the parabola y^(2) -2y +8x -23 =0 the length of double ordinate a...

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  5. The length of the chord of the parabola x^(2) =4ay passing through th...

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  6. Length of chord of parabola y^(2) =4ax whose equation is y-sqrt2 x + ...

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  7. The tangent to y^(2)=ax makes an angle 45^(@) with x-axis . Then its ...

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  8. Point of contact of the line kx + y-4 =0, w.r.t. the parabola y=x -x^...

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  9. P and Q are two points on the parabola ( y-2) ^(2) =(4-3) . The normal...

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  10. Two straight lines are perpendicular to each other. One of them touche...

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  11. If two tangents drawn from a point P to the parabola y^(2)=4x are at r...

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  12. Assertion (A) : The least length of the focal chord of y^(2) =4ax is...

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  13. Assertion (A) : Orthocentre of the triangle formed by any three tangen...

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  14. Show that length of perpendecular from focus 'S' of the parabola y^(2)...

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  15. If A,B,C are 3 points on a parabola , Delta 1 , Delta2 are the areas...

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  16. Prove that the orthocentre of the triangle formed by any three tangent...

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  17. The tangent at 't' on the parabola y^(2) =4ax is parallel to a normal ...

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  18. The no. of normals drawn to (y-1) ^(2) =8 ( x+3) through (4,1 )

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  19. The normal at 'P' cuts the axis of the parabola y^(2) =4ax in G and S...

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  20. If two of the three feet of normals drawn from a point to the parabola...

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