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The normal to a curve at P(x, y) meet...

The normal to a curve at P(x, y) meets the x-axis at G. If the distance of G from the origin is twice the abscissa of P, then the curve is a (1) ellipse (2) parabola (3) circle (4) hyperbola

A

ellipse

B

parabola

C

circle

D

hyperbola

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The correct Answer is:
A, D
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ML KHANNA-TANGENTS AND NORMALS-SELF ASSESSMENT TEST (MULTIPLE CHOICE QUESTIONS)
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  2. For the curve x = t^2 - 1, y = t^2 - t, the tangent line is perpendicu...

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  3. The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2) -2t -5 at...

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  4. The tangent of the curve y = 2x^2 - x + 1 is parallel to the line y = ...

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  5. The tangentto the curve x^2 + y^2 - 2x- 3 = 0 is parallel to x-axis at...

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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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