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The points of contact of the tangents dr...

The points of contact of the tangents drawn from the origin to the curve y=sinx, lie on the curve

A

`x^(2)-y^(2)=xy`

B

`x^(2)+y^(2)=x^(2)y^(2)`

C

`x^(2)-y^(2)=x^(2)y^(2)`

D

none of these

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-TANGENTS AND NORMALS-Exercise
  1. Find the locus of point on the curve y^2=4a(x+asin (x/a)) where tangen...

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  2. At what points on the curve y=x^2-4x+5 is the tangent perpendicu...

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  3. The points of contact of the tangents drawn from the origin to the cur...

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  4. If the area of the triangle included between the axes and any tangent ...

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  5. The tangents to the curve x=a(theta - sin theta), y=a(1+cos theta) at ...

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  6. The slope of the tangent to the curve y=sin^(-1) (sin x) " at " x=(3pi...

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  7. The slope of the tangent to the curve y=cos^(-1)(cos x) " at " x=-(...

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  8. The equation of the tangent to the curve y=e^(-|x|) at the point wher...

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  9. The number of points on the curve y=x^(3)-2x^(2)+x-2 where tangents ar...

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  10. The angle between the tangents to the curve y=x^2-5x+6 at the point (2...

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  11. The slope of the tangent to the curve y =sqrt(9-x^(2)) at the point wh...

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  12. The slope of the tangent to the curve y=x^(2) -x at the point where th...

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  13. The abscissa of the point on the curve ay^2 = x^3, the normal at whic...

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  14. The curve given by x+y=e^(x y) has a tangent parallel to the y-axis at...

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  15. The two tangents to the curve ax^(2)+2h x y+by^(2) = 1, a gt 0 at the ...

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  16. Let P(2, 2) and Q(1//2, -1) be two points on the parabola y^(2)=2x, Th...

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  17. Any tangent to the curve y=2x^(5)+4x^(3)+7x+9

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  18. The normal to the curve 5x^5 – 10x^3 + x - 2y + 6= 0 at P (0, 3) meets...

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  19. The lines parallel to the normal to the curve x y=1 is/are 3x+4y+5=0 ...

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  20. Let P be the point (other than the origin) of intersection of the curv...

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