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Prove that the tangents to the curve y=x...

Prove that the tangents to the curve `y=x^2 - 5x + 6` at the points (2,0) and (3,0) are at right-angles.

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Find the equations of the tangent and the normal to the curve y = x^2 ...

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  2. Show that the tangents to the curve y = 2x^3 - 3 at the points where ...

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

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

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  5. Find the points on the curve 4 y = x^3 where the slope of the tangent ...

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  6. Find the point(s) on the curve: y = 3x^2 - 12 x + 6 at which the tange...

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  7. Find the equation of the tangent to the curve x^2 + 3y = 3, which is p...

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  8. Find the point on the curve y=2x^(3)-15x^(2)+36x-21 at which the tange...

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  9. Find points on the curve x^2/4 + y^2/25 = 1at which the tangents are ...

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  10. Find points on the curve x^2/4 + y^2/25 = 1 at which the tangents are ...

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  11. Find the equations of the tangents to the curve: y = x^3 + 2 x -4. Whi...

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  12. Find the equations of the tangents to the curve: y = x^3 + 2 x -4. Whi...

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  13. Find a point on the curve y = (x-3)^2 where the tangent is parallel to...

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  14. At what point of the curve y = x^2 does the tangent make an angle of 4...

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  15. Find the equations of the tangents to the curve 3x^2 - y^2 = 2 which a...

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  16. Show that the curve xy=a^(2)andx^(2)+y^(2)=2a^(2) touch each other.

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  17. Prove that the curves xy = 4 and x^2+y^2 =8 touch each other.

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  18. Prove that the curves y^2 = 4x and x^2 + y^2 - 6x + 1 = 0 touch each o...

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  19. Find the equations of normal(s) to the curve x^2 + 2y^2 - 4x - 6y + 8 ...

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  20. Find the coordinates of the point on the curve sqrtx + sqrty = 4 at wh...

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