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Find the equation of tangents of the fol...

Find the equation of tangents of the following curves at the given points:
(i) Curve`x^(2) = 25` at point (3, 4)
(ii) Curve `y = 2x^(3) + 2x^(2) - 8x+7` at point (1, 3)
(iii) Curve `y = x + 2/x` at point (2, 3)
(iv) Curve` y^(2)(x-1) = 4x^(2)` at point (5, 5)

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The correct Answer is:
(i) 3x+4y=25, (ii)2x-y+1=0, (iii) x-2y +4 =0, (iv) 3x-8y+25=0
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NAGEEN PRAKASHAN-APPLICATIONS OF DERIVATIVES-Exercise 6d
  1. Find the slope of tengents drawn of the following curves at the given ...

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  2. Find the inclination from X-axis of the tangent drawn of the following...

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  3. Find the equation of tangents of the following curves at the given poi...

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  4. Find the equation of tangent of the curve x^(2)+y^(2)=5 at point (1, ...

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  5. Find the equation of tangent of the curve y^(2) = 4x+5 which is paral...

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  6. Find the equation of tangent of the curve 9x^(2)+16y^(2) = 144 at thos...

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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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  14. Find the coordinates of the points on the curve y=x^2+3x+4, the tangen...

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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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  19. If two curves ax^2 +by^2=1 and a'x^2+b'y^2=1 intersect orthogonally,th...

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  20. Prove that the curves "x"="y"^2 and "x y"="k" intersect at right an...

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