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If (h,k) is a point on the axis of the parabola `2(x-1)^2 + 2(y-1)^2 = (x+y+2)^2 `from where three distinct normal can be drawn, then the least integral value of h is :

A

`hgt2`

B

`hlt4`

C

`hgt8`

D

`hlt8`

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Verified by Experts

The correct Answer is:
A
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FIITJEE-PARABOLA-ASSIGNMENT PROBLEMS (OBJECTIVE LEVEL - I)
  1. The number of focal chord(s) of length 4/7 in the parabola 7y^(2)=8x i...

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  2. The ends of a line segment are P(1, 3) and Q(1,1), R is a point on th...

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  3. If (h,k) is a point on the axis of the parabola 2(x-1)^2 + 2(y-1)^2 = ...

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  4. If the tangents at two points (1, 2) and (3, 6) as a parabola intersec...

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  5. The tangent and normal at the point P(4,4) to the parabola, y^(2) = 4x...

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  6. The triangle formed by the tangent to the parabola y=x^(2) at the poin...

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  7. A parabola y^(2)=4axandx^(2)=4by intersect at two points. A circle is ...

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  8. Consider a circle with its centre lying on the focus of the parabola, ...

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  9. Show that the locus of a point that divides a chord of slope 2 of the ...

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  10. All chords of the parabola y^(2)=4x which subtend right angle at the o...

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  11. A variable chord PQ of the parabola y=4x^(2) subtends a right angle at...

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  12. P & Q are the points of contact of the tangents drawn from the point T...

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  13. Point on the curve y^(2)=4(x-10) which is nearest to the line x + y = ...

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  14. Find the locus of midpoint of family of chords lamdax+y=5(lamda is par...

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  15. The equation of the common tangent touching the circle (x-3)^(2)+y^(2)...

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  16. The mirror image of the parabola y^2=4x in the tangent to the parab...

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  17. Find the coordinates of a point on the parabola y=x^2+7x+2 which is cl...

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  18. If the parabola y=(a-b)x^2+(b-c)x+(c-a) touches x- axis then the line...

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  19. Find the locus of midpoint of family of chords lamdax+y=5(lamda is par...

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  20. The normals at three points P,Q,R of the parabola y^2=4ax meet in (h,k...

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