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A curve C has the property that if th...

A curve `C` has the property that if the tangent drawn at any point `P` on `C` meets the co-ordinate axis at `A` and `B` , then `P` is the mid-point of `A Bdot` The curve passes through the point (1,1). Determine the equation of the curve.

A

xy=1

B

`y^2=2x-1`

C

`x^2=2y-1`

D

none

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The correct Answer is:
A
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ML KHANNA-TANGENTS AND NORMALS-SELF ASSESSMENT TEST (MULTIPLE CHOICE QUESTIONS)
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  6. Let C be the curve y^(3) - 3xy + 2 =0. If H is the set of points on th...

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  7. The curve x^3 -3xy^2 +2=0 and 3x^2y-y^3-2=0 cut at an angle of

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  8. The angle of intersection of the curve y = x^2 and 6y=7-x^2 at (1,1) i...

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  9. The equation of the tangent at the point P(t) ,wheret is any parameter...

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  10. The normal drawn at a point (at1^2,2at1)1 ) on the parabola y^2=4ax me...

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  11. The tangent to a given curve is perpendicular to x-axis if

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  12. The normal to a given curve is parallel to x-axis if

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  13. The point on the curve y^2 = x, the tangent at which makes an angle of...

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  14. The tangent to the curve y = e^(2x) at the point (0, 1) meets the x a...

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  15. The length of the subnormal to the parabola y^(2)=4ax at any point is ...

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  16. The normal at the.point (1, 1) on the curve 2y = 3 - x^2 is

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  17. The normal to the curve x=a(cos theta + theta sin theta), y=a(sin thet...

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  18. If the parametric equation of a curve is given by x=e^tcost,y=e^tsint,...

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  19. The angle of intersection of the curves y=x^(2), 6y=7-x^(3) at (1, 1),...

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  20. The equation of the tangent to the curve y=x+4/(x^2), that is parallel...

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