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Find a point on the curve y = (x – 2)^(2...

Find a point on the curve y =` (x – 2)^(2)` at which the tangent is parallel to the chord joining the points (2, 0) and (4, 4).

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The correct Answer is:
(3,1)
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NCERT TAMIL-APPLICATION OF DERIVATIVES-EXERCISE 6.3
  1. Find the slope of the normal to the curve x=1 -a sin theta , y = b cos...

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  2. Find points at which the tangent to the curve y = x^(3) – 3x^(2) – 9x ...

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  3. Find a point on the curve y = (x – 2)^(2) at which the tangent is para...

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  4. Find the point on the curve y = x^(3) – 11x + 5 at which the tangent i...

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  5. Find the equation of all lines having slope – 1 that are tangents to t...

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  6. Find the equation of all lines having slope 2 which are tangents to th...

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  7. Find the equations of all lines having slope 0 which are tangent to th...

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  8. Find points on the curve (x^(2))/(9) +(y^(2))/(16) =1 at which the tan...

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  9. Find the equations of the tangent to the given curves at the indicated...

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  10. Find the equations of the tangent to the given curves at the indicated...

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  11. Find the equations of the tangent to the given curves at the indicated...

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  12. Find the equations of the tangent to the given curves at the indicated...

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  13. Find the equations of the tangent to the given curves at the indicated...

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  14. Find the equation of the tangent line to the curve y = x^(2) – 2x +7 w...

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  15. Show that the tangents to the curve y = 7x^(3) + 11 at the points wher...

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  16. Find the points on the curve y = x 3 at which the slope of the tangent...

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  17. For the curve y = 4x^(3) – 2x^(5) , find all the points at which the t...

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  18. Find the points on the curve x^(2) + y^(2) – 2x – 3 = 0 at which the t...

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  19. Find the equation of the normal at the point (am^(2) ,am^(3) ) for the...

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  20. Find the equation of the normals to the curve y = x^(3) + 2x + 6 which...

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