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The equation of the tangent to the parab...

The equation of the tangent to the parabola `y=x^(2)-x` at the point `x=1,` is

A

`y=x+4`

B

`y=2-x`

C

`x+y+3=0`

D

`y=x-1`

Text Solution

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The correct Answer is:
D
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HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. The distance of the P on the parabola y^(2)=4 x from the focus is 26. ...

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  2. Vertex of the parabola y^(2)+2 y+x=0 lies in the quadrant,

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  3. The equation of the tangent to the parabola y=x^(2)-x at the point x=1...

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  4. The vertex of a parabola is at the origin and the directrix is x+5=0 ....

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  5. The point of intersection of the latus rectum and the axis of the para...

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  6. The equation of the parabola whose vertex is (2,-1), axis is vertical ...

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  7. The length of the latus rectum of the parabola is 3 y^(2)+6 y+8 x-5=0 ...

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  8. The length of the latus rectum of the parabola whose directrix is 2 x-...

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  9. The focal distance of the point (other than the origin) on the parabol...

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  10. If the line y=m x+c is a tangent to the parabola y^(2)=4 a(x+a), then ...

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  11. The line x+y=1 is a tangent to the parabola y^(2)-y+x=0, at

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  12. The point on the parabola y^(2)=8 x where the normal is inclined at 30...

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  13. t(1) and t(2) are the parameters of the end-points f a focal chord of ...

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  14. The latus rectum of the parabola y^(2)=5x+4y+1 is

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  15. The point on the parabola y^(2)=16 x where the tangent makes an angle ...

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  16. The point of intersection of the tangents at the ends of the latus rec...

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  17. The equation of the common tangents to the circle x^(2)+y^(2)=2 a^(2) ...

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  18. The equation of common tangents to the parabola y^(2)=8 x and hyperbol...

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  19. The common tangent to the parabolas y^(2)=8 x and x^(2)=8 y is

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  20. The equation of the common tangent to the curves y^2=8x and xy =-1 is ...

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