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Show that in the curve y=a log(x^(2)-a^(...

Show that in the curve `y=a log(x^(2)-a^(2))` the sum the lengths of the tangent and the subtangent at any point varies as the product of the coordinates of the point.

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AAKASH SERIES-TANGENT AND NORMAL -ADVANCED SUBJECTIVE TYPE QUESTIONS
  1. Find the length of the tangent, length of the normal, the subtangent, ...

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

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

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

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

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

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

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

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

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

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  11. The tangent at any point f the curve x=at^3,y=at^4 divides the absciss...

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  12. The normal at a point on the curvey^(2)=4ax is lx+my=1. Show that al^(...

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  13. If the slop of the tangent to the curve e^(y)=1x^(2) at any point is m...

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  14. If the tangent at any point on the curve x^4+y^4=a^4 cuts off intercep...

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  15. If the sum of the squares of the intercepts on the axes cut off by the...

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  16. Find the equation of the normal to the curve y=(1+x)^(y)+sin^(-1)(sin...

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  17. Let P be the point (other than the origin) of intersection of the curv...

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  18. Find the angle of intersection of the curves y=[sinx|+|cosx|] and x^(2...

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  19. If the tangent at (x(0),y(0)) to the curve x^(3)+y^(3)=a^(3) meet the ...

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  20. Find the point on the curve 3x^(2)-4y^(2)=72 which is nearest to the l...

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