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Find the lengths of tangent, subtangent,...

Find the lengths of tangent, subtangent, normal and subnormal to `y^2=4ax` at `(at^2,2at)`

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PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
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  2. Find the point on the curve y-e^(xy)+x=0. At which we have vertical ta...

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

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

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

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

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

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

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

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

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

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

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

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

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  19. The differential coefficient of f(logex) with respect to x, where f(x)...

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  20. If f(x) = cosx. cos2x. Cos4x. Cos8x.cos16x, then f '(pi/4) is :

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