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If the line x+y=1 touches the parabola y...

If the line `x+y=1` touches the parabola `y^2 - y+x=0`, then the co-ordinates of the point of contactare

A

`(1, 1)`

B

`(1/2,1/2)`

C

`(0,1)`

D

`(1,0)`

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-THE PARABOLA -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. If y+3= m1 (x+2) and y+3= m2 (x+2) are two tangents to the parabola y...

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  2. The equations of common tangent to the parabola y^2 = 4ax and x^2 = 4b...

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  3. If the line x+y=1 touches the parabola y^2 - y+x=0, then the co-ordina...

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  4. The point of intersection of the tangents at the ends of the latus re...

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  5. The equation of tangents to the parabola y^2 = 4ax at the ends of latu...

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  6. Two tangents of the parabola y^2 = 8x, meet the tangent at its vertex ...

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  7. If the tangent at the point P (2,4) to the parabola y^2 = 8x meets the...

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  8. The locus of the point of intersection of tangents to the parabola y^2...

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  9. If y(1),y(2) are the ordinates of two points P and Q on the parabola ...

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  10. Ordinates of three points A,B,C on the parabola y^2 = 4ax are in G.P. ...

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  11. If the tangents at P and Q on a parabola meet in T, then SP, ST and SQ...

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  12. The tangent at P to a parabola meets the tangents at the vertex A in Q...

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  13. If b and c are the lengths of the segments of any focal chord of a par...

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  14. If b,c are the segments of a focal chord of the parabola y^2 = 4ax, t...

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  15. The latus rectum of a parabola whose focal chord PSQ is such that SP =...

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  16. If PSQ is focal chord of the parabola y^2 = 8x such that SP=6, then th...

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  17. If A1 B2 and A2 B2 are two focal chords of the parabola y^2 = 4ax the...

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  18. If a focal chord of the parabola be at a distanced from the vertex, th...

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  19. Tangents at the extremities of a focal chord of a parabola intersect o...

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  20. A circle drawn on any focal AB of the parabola y^(2)=4ax as diameter c...

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