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The equation of the tangent to the curve...

The equation of the tangent to the curve `y =x^(4)` from the point (2,0) , are given by

A

`y=(4098)/(81)`

B

`y-1=5(x-1)`

C

`y=(4096)/(81) = (2048)/(27)(x-(8)/(3))`

D

`y-(32)/(243) = (80)/(81)(x-(2)/(3))`

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-TANGENTS AND NORMALS-Exercise
  1. The equation of the normal to the curve y^(4)=ax^(3) at (a, a) is

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  2. The angle between the curves y^2 =4x+4 and y^2 =36(9−x) is?

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  3. The equation of the tangent to the curve y =x^(4) from the point (2,0...

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  4. The point on the curve sqrt(x) + sqrt(y) = sqrt(a), the normal at whic...

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  5. The length of the Sub tangent at (2,2) to the curve x^5 = 2y^4 is

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  6. The angle between the curves y=sin x and y = cos x, 0 lt x lt (pi)/(2)...

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  7. The line, which is parallel to X-axis and crosses the curve y = sqrtx ...

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  8. A normal is drawn to parabola y^2=4ax at any point other than the vert...

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  9. If the line a x+b y+c=0 is a normal to the curve x y=1, then a >0,b >...

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  10. Show that the line d/a+y/b=1 touches the curve y=b e^(-x/a) at the poi...

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  11. Find the euation of normal to the curve x=a( cos theta + theta sin th...

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  12. The point P of the curve y^(2)=2x^(3) such that the tangent at P is p...

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  13. Find the equation of tangents to the curve y=cos(x+y),-2pilt=xlt=2pi t...

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  14. The equation of the tangents at the origin to the curve y^2=x^2(1+x) a...

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  15. The coordinates of the points on the curve x=a(theta + sintheta), y=a(...

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  16. The chord joining the points where x= p and x= q on the curve y= ax^2 ...

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  17. Find the locus of point on the curve y^2=4a(x+asin (x/a)) where tangen...

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

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

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

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