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If a point P moves such that its distanc...

If a point `P` moves such that its distance from the point `A(1,1)` and the line `x+y+2` are equal then the locus is

A

a straight line

B

a pair of lines

C

a parabola

D

an ellipse

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The correct Answer is:
C
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HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. The parabola with the directrix x+2 y-1=0 and focus (1,0) is

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  2. The line among the following, that touches the parabola y^(2)=4 a x is

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  3. If a point P moves such that its distance from the point A(1,1) and th...

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  4. Let O be the origin and A be a point on the curve y^(2)=4 x. Then the ...

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  5. The length of latus rectum of the parabola y^(2)=4 a x whose focal cho...

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  6. The equation of a line drawn through the focus of the parabola y^(2)=-...

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  7. Let the directrix of a parabola y^(2)=2 a x is a tangent to a circle w...

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  8. The equation of the parabola which passes through the intersection of ...

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  9. y^(2)-2 x-2 y+5=0 is

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

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  11. An equation of the tangent to y^(2)=9 x which passes through (4,10) is

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  12. The equation of the parabola with its vertex at the origin, axis on th...

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

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  14. The point of the parabola y^(2)=18 x for which the ordinate is three t...

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  15. The tangents drawn at the extremeties of a focal chord of the parabola...

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  16. For the parabola y^(2)=4x the point P whose focal distance is 17 is

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  17. The angle between the tangents drawn to the parabola y^(2)=12x from th...

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  18. The tangents drawn at the extremeties of a focal chord of the parabola...

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  19. The length of the latus rectum of 3x^(2)-4y+6x-3=0 is

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  20. The sum of the reciprocals of focal distances of a focal chord PQ of y...

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