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Tangent at any point of the curve `((x)/(a))^(2//3)+((y)/(b))^(2//3)=1` makes intercepts `x_(1) and y_(1)` on the axes show that `(x_(1)^(2))/(a^(2))+(y_(1)^(2))/(b^(2))=1`

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AAKASH SERIES-TANGENT AND NORMAL -ADVANCED SUBJECTIVE TYPE QUESTIONS
  1. The points of contact of the tangents drawn from origin to the curve 3...

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  2. Find the point of contact of the tangents drawn from origin to the cur...

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  3. Tangent at any point of the curve ((x)/(a))^(2//3)+((y)/(b))^(2//3)=1 ...

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  4. Show that the part of the tangent to the curve xy=a^(2) included betwe...

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  5. The area of the triangle formed by the tangent and the normal at the p...

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  6. Show that the following curves cut orthogonally x^(2)+y^(2)=25,2x^(2...

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  7. Show that the following curves cut orthogonally 4y^(2)-x^(2)=8, 2x^(...

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  8. Find the angle between the curves y=2x,x^(3)+y^(3)=6xy

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  9. Find the angle between the curves x^(2)+y^(2)=4,x^(2)=3y

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  10. Find the angle between the curves y^(2)=8x,x^(2)=4y-12

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  11. Find the length of the tangent, length of the normal, the subtangent, ...

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  12. Find the length of the tangent, length of the normal, the subtangent, ...

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  13. Show that in the curve y=a log(x^(2)-a^(2)) the sum the lengths of th...

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  14. The curve y^2=(x+a)^3, the square of the subtangent is ..... Subnormal

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  15. The length of the tangent to the curve x=a(cost+logtant/2),y=asint at ...

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  16. The subtangent at any point of the curve x^my^n=a^(m+n) varies as its

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  17. If the normal to the curve y=f(x) at (1, 2) make an angle (3pi)/(4) wi...

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  18. If the line x + y = k is a normal to the curve y2 = 12x, find the valu...

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  19. If the line ax + by + c = 0 is a normal to the curve xy = K^(2) then s...

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  20. Show that the points of contact of the tangents drawn from the origin ...

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