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Show that the tangent at P(x(1),y(1)) on...

Show that the tangent at `P(x_(1),y_(1))` on the curve `sqrt(x)+sqrt(y)=sqrt(a) " is " x""x_(1)^((-1)/2)+yy_(1)^((-1)/2)=a^(1/2)`

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AAKASH SERIES-TANGENT AND NORMAL -EXERCISE 7.1 (SHORT ANSWER & LONG ANSWER QUESTIONS)
  1. Find the slopr of the tangent to the curve y=(x-1)/(x-2) at x ne 2 " a...

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  2. Find the slope of the tangent to the curve y = 3x^(4) – 4x at x = 4.

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  3. Find the equation of tangent and normal to the curve y = "2.e" ^((-x)...

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  4. If the slope of the tangent to the curve x^(2)-2xy+4y=0 at the point i...

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  5. Find the equations of tangent and normal to the following curves at th...

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  6. Find the equations of tangent and normal to the following curves at th...

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  7. Find the equations of tangent and normal to the following curves at th...

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  8. Find the equations of tangent and normal to the following curves at th...

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  9. Find the equations of tangent and normal to the following curves at th...

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  10. Find the equations of tangent and normal to the following curves at th...

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  11. If the slope of the tangent to the curve y= x log x at a point on it i...

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  12. Find the equation of tangent and normal to the curve y=x^(3)+4x at (-1...

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  13. Find the equations of tangent and normal to the curve xy = 10 at (2 , ...

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  14. Show that the curves x^(2)+y^(2)=2, 3x^(2)+y^(2)=4x have a common tang...

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  15. IF the tangent at a point on the curve x^(2//3)+y^(2//3)=a^(2//3) inte...

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  16. At what points on the curve x^(2)-y^(2)=2. The slops of tangents are e...

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  17. Show that the tangent at P(x(1),y(1)) on the curve sqrt(x)+sqrt(y)=sqr...

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  18. IF the tangent at any point P on the curve x^my^n=a^(m+n), mn ne 0 mee...

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  19. Show that the tangent at the point P(2,-2) on the curve y(1-x)=x makes...

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  20. At the point (x(1),y(1)) on the curve x^(3)+y^(3)=3axy show that the t...

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