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Find the slope of tengents drawn of the ...

Find the slope of tengents drawn of the following curves at the given points:
(i) Curve ` y =x^(3)+1` at point (0, 1)
(ii) Curve ` x^(2)-y^(2)` = 20 at point (6, 4)
(iii) Curve ` y^(2)=4x` at point (1, 2)
(iv) Curve` y^(2) = 4" ax at point "(a/m^(2),(2a)/m)`

Text Solution

Verified by Experts

The correct Answer is:
(i)0, (ii)`3/2`, (iii)1, (iv) m
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Knowledge Check

  • Find the slope of tangent of the curve y =4x at the point (-1,4).

    A
    `-6`
    B
    `6`
    C
    `-8`
    D
    `8`
  • NAGEEN PRAKASHAN-APPLICATIONS OF DERIVATIVES-Exercise 6d
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    5. Find the equation of tangent of the curve y^(2) = 4x+5 which is paral...

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    7. Find the co-ordinates of that point on the curve x^(3)+y^(3)= a^(3) a...

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    8. Find the co-ordinates of that point on the curvey^(2)=x^(2)(1-x) at wh...

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    9. Find the co-ordinates of that point on the curve x^(2)/a^(2)+y^(2)/b^(...

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    10. Prove that the equation of tangent of the ellipse x^(2)/a^(2)+y^(2)/b^...

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    11. Find the value of n in N such that the curve (x/a)^n+(y/b)^n=2 touche...

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

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    13. Find the point on the curve y^(2) = x at which the tangent drawn makes...

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    15. The tangent drawn at any point of the curve sqrtx+sqrty = sqrta meets...

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    16. If p and q are the intercept on the axis cut by the tangent of sqrt((x...

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    17. Find the angle of intersection of the curves x y=a^2a n dx^2+y^2=2a^2

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    18. Prove that the curvesx^(2)-y^(2)=16 and xy = 15 intersect each other a...

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