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Show that the curves ax^2 + by^2 = 1 and...

Show that the curves `ax^2 + by^2 = 1` and ` a' x^2 + b' y^2 = 1. Intersect at right angles if `1/a - 1/b = 1/a' - 1/b' cdot

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ARIHANT PUBLICATION-APPLICATION OF DERIVATIVES -ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 8 (B))
  1. Find the equations to the tangents and normals to the following curves...

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  2. Find the equations to the tangents and normals to the following curves...

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  3. Find the equations to the tangents and normals to the following curves...

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  4. Find the equations to the tangents and normals to the following curves...

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  5. Find the point on the curve y^2 - x^2 + 2x - 1 =0 where the tangent ...

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  6. Find the point (S) on the curve x=(3at)/(1+t^2), y=(3at^2)/(1+t^2) whe...

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  7. Find the point on the curve x^2 + y^2 - 4xy + 2 = 0 where the normal...

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  8. Show that the line y = mx + c touches the parabola y^(2) = 4ax if c = ...

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  9. Show that the line y = mx + c touches the ellips x^2/a^2 + y^2/b^2 =...

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  10. Show that the sum of the intercepts on the coordinate axes of any tang...

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  11. Show that the curves y = 2^(x) and y = 5^(x) intersect at an angle tan...

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  12. Show that the curves ax^2 + by^2 = 1 and a' x^2 + b' y^2 = 1. Interse...

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  13. Find the equasion of the tangents drawn from the point (1,2) to the cu...

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  14. Show that the equation of the normal to x^(2/3) + y^(2/3) = a^(2/3)is ...

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  15. Show that the length of the portion of the tangent to x^(2/3) + y^(2/3...

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  16. Find the tangent to the curve y = cos (x + y), 0 le x le 2pi which is ...

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  17. If tangents are drawn from the origin to the curve y = sin x, then sho...

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  18. Find the equation of the normal to the curve given by x = 3 cos thet...

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  19. If x cos alpha + y sin alpha = p is a tangent to the curve (x/a)^(n/...

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  20. Show that the tangent to the curve x = a (t - sin t), y = at (1 + cos ...

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