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Find the equations of all lines having s...

Find the equations of all lines having slope 0 which are tangent to the curve `y = 1/(x2-2x+3)`

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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Find points on the curve x^2/4 + y^2/25 = 1 at which the tangents are ...

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  2. Show that the tangents to the curve y= 7x^3 + 11 at the points x = 2 a...

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

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

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  5. Find the equation of all lines having slope 2 which are tangent to the...

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  6. Find the point of intersection of the tangetn lines to the curve y = 2...

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  7. Prove that the tangents to the curve y=x^2 - 5x + 6 at the points (2,0...

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  8. Find the angle of intersection of the curves: y^2=4x and x^2=4y

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  9. Find the angle of intersection of the curves: x^2+y^2-4x-1=0 and x^2+y...

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  10. Show that the following curves cut each other orthogonally: y = x^3 an...

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  11. Show that the following curves cut each other orthogonally: x^2 + 4y^2...

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  12. If the curves: alphax^2 + betay^2 =1 and alpha'x^2 + beta'y^2=1 inters...

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  13. Prove that the curves 4x = y^2 and 4xy = k cut at right angles if k^2...

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  14. Show that the curves 2x = y^2 and 2xy = k cut at right angles if k^2 =...

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  15. Prove that the curves y^(2)=4axandxy=c^(2) cut at right angles if c^(4...

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  16. Show that the normal at any point theta to the curve x = a cos theta +...

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  17. Find the equations of the tangent and normal to the curve 16x^2 + 9y^2...

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  18. Find a point on the curve y=x^(3), where the tangent to the curve is p...

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  19. Find a point on the parabola y =(x-3)^2, where the tangent is parallel...

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  20. Show that the area of the triangle formed by the tangent and the norma...

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