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Find the shortest distance between the c...

Find the shortest distance between the curve `x^2+y^2=4` and the point (6,8)

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PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. The maximum value of f(x)=(x-2)(x-3)^2 is

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  2. The points for which the function f(x)=underset1overset"x"int{2(t-1)(t...

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  3. Find the shortest distance between the curve x^2+y^2=4 and the point (...

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  4. The minimum value of the function f(x)=2|x-2|+5|x-3| for all "x"inR is

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  5. The total number of local maxima and local minima for the function ...

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  6. Let f(x)={(absx, "for",0ltabsxlt=2),(1, "for",x=0):} Then ,at x = 0...

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  7. Let f(x) be a function defined as f(x)= {(sin(x^2-3x),xle0),(6x+5x^2,x...

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  8. If line ax+by+c=0 is normal to the curve xy+5=0 then a and b are of :

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  9. If the tangent at (x0,y0) to the curve x^3+y^3=a^3 meets the curve aga...

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  10. If x/a+y/b=2 touches the curve x^n/a^n+y^n/b^n=2 at the point (alpha,b...

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  11. The ength of substangent to the curve y=e^(x//a) is :

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  12. The length of normal to the curve x=a(theta+sintheta),y=a(1-costheta) ...

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  13. Between any two real roots of the equation e^xsinx-1=0, the equation e...

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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. If 27a+9b+3c+d=0, then the equation 4ax^3+3bx^2+2cx+d=0 has at least o...

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  16. If a function is everywhere continuous and differentiable such that f'...

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  17. The value of c in Lagrange's theorem for the function f(x)=|x| in the ...

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  18. In a /\ ABC the sides b and c are given. If there is an error dA in me...

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  19. If a particle moving along a line follows the law s=sqrt(1+t). then th...

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  20. A variable triangle is incribed in a circle of radius R, If the rate o...

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