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The tangent and normal at the point P(4,...

The tangent and normal at the point `P(4,4)` to the parabola, `y^(2) = 4x` intersect the x-axis at the points Q and R, respectively. Then the circumcentre of the `DeltaPQR` is

A

(2, 0)

B

(2, 1)

C

(1, 0)

D

(1, 2)

Text Solution

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The correct Answer is:
C
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FIITJEE-PARABOLA-ASSIGNMENT PROBLEMS (OBJECTIVE LEVEL - I)
  1. If (h,k) is a point on the axis of the parabola 2(x-1)^2 + 2(y-1)^2 = ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. The parabola y^2 = 4x and the circle (x-6)^2 + y^2 = r^2 will have no...

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  20. The normal at the point P(ap^2, 2ap) meets the parabola y^2= 4ax again...

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