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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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SRISIRI PUBLICATION-QUESTION PAPER -SECTION - C
  1. Find the angle between the lines, whose direction cosines are given by...

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  2. If a line makes angles alpha, beta, lambda,delta with the four diagon...

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  3. If y=Tan^""(-1)((sqrt((1+x^(2)))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-...

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  4. Find the derivative of (sinx)^(log x)+x^(sinx).

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  5. Find the derivative of x^(tanx)+(sinx)^(cosx) w.r.to x.

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  6. if siny=xsin(a+y) then show that dy/dx=sin^(2)(a+y)/(sina).

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  7. If x^(y)=y^(x) then show that dy/dx=(y(xlogy-y))/(x(ylogx-x)).

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  8. If x^(y) + y^(x) = a^(b) then prove that (dy)/(dx)=-[(yx^(y-1)+y^(x)L...

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  9. If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y) then prove that dy/dx=(sqrt(1-y^...

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  10. If y=xsqrt(a^(2)+x^(2))+a^(2)log(x+sqrt(a^(2)+x^(2))), then show that ...

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

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  12. Find the angle between the curves xy=2 and x^(2)+4y=0

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  13. The sum of the intercepts on the coordinate axes of any tangent to sqr...

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

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  15. Find the maximum area of the rectangle that can be formed with fixed p...

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  16. From a rectangular sheet of dimensions 30cm times 80cm, four squares o...

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  17. A wire of length l is cut into two parts which are bent respectively i...

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  18. A window is in the shape of a rectangle surmounted by a semi-circle. I...

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  19. Show that when the curved surface of a is right circular cylinder insc...

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  20. Find the positive integers x and y such that x+y=60 " and " xy^(3) is...

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