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Show that the sum of the intercepts of t...

Show that the sum of the intercepts of the tangent to the curve `sqrtx+sqrty=sqrta` on the coordinate axes is constant.

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PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
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  2. The tangent and normal to the curve y=2sinx+sin2x are drown at P(x=pi/...

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  3. Show that the sum of the intercepts of the tangent to the curve sqrtx+...

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  4. Find the point on the curve y-e^(xy)+x=0. At which we have vertical ta...

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  5. Find the lengths of tangent, subtangent, normal and subnormal to y^2=4...

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  6. If the length of subnormal is equal to length of subtangent at a point...

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  7. Find the angle of intersection between the following curves, y^2=4x an...

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  8. Show that x=y^2 and xy = k cut orthogonally if 8k^2=1

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  9. Show that curves ax^2+by^2=1 and cx^2+dy^2=1 intersect orthogonally if...

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  10. Prove that the curve (x/a)^n+(y/b)^n=2 touches the straught line x/a+y...

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  11. Prove that all points of the curve y^2=4a[x+asinx/a] at which the lang...

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  12. Verify Rolle's theorem for f(x)=x^3(x-1)^2 in the interval 0lexle1

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  13. If 2a+3b+6c=0 then the equation ax^2+bx+c=0 has in the interval (0,1)

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  14. The value of 'c' of Rolls's throrem is applicable to the function f(x)...

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  15. Find 'c' of the Lagrange's mean value theorem for the function f(x)=3x...

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  16. If A(x1,y1) an B(x2,y2) be two points on the curve y=ax^2+bx+c then La...

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  17. 0 < a < b < ( pi/2​) and f(a,b)= (tanb−tana)/b-a

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  18. Let f,[2,7]rarr[0,oo) be a continuous and differentiable function, The...

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  19. If y=1/(1+x^(n-m)+x^(p-m))+1/(1+x^(m-n)+x^(p-n))+1/(1+x^(m-p)+x^(n-p))...

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  20. If y=|cosx|+|sinx|,then(dy/dx)"at"x=(2pi)/3 is

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