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MODERN PUBLICATION-APPLICATION OF DERIVATIVES -Multiple Choice Questions LEVEL-II
- The curve y=ax^(3)+bx^(2)+cx is inclined at 45^(@) to X-axis at (0, 0)...
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- If log(0.3) (x-1) lt log(0.09) (x-1), then x lies in the interval :
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- The angle of intersection of the two curves xy=a^(2) and x^(2)-y^(2)=2...
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- The length of subtangent to the curve x^(2)+xy+y^(2)=7 at (1, -3) is ...
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- The equation 3x^(2)+4ax+b=0 has atleast one root in (0, 1) if :
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- The curve y-e^(xy)+x=0 has a vertical tangent at the point :
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- If the normal to the curve y = f(x) at the point (3, 4) makes an angle...
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- If x+y=k is normal to y^(2)=12x, then k is :
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- The two curves x^(3)-3xy^(2)+2=0 and 3x^(2)y-y^(3)-2=0:
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- The greatest distance of the point P(10, 7) form the circle x^(2)+y^(...
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- The greatest value of f(x)=(x+1)^(1//3)-(x-1)^(1//3) on [0, 1] is :
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- The point(s) on the curve y^(3)+3x^(2)=12y, where the tangent is verti...
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- If the function f(x)=2x^(3)-9ax^(2)+12a^(2)x+1, where a gt0 attains it...
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- If minimum value of f(x)=x^(2)+2bx+2c^(2) is greater than maximum valu...
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- The line 2x+sqrt(6)y=2 is a tangent to the curve x^(2)-2y^(2)=4. The p...
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- A spherical iron ball 10 cm in radius is coated with a layer of ice of...
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- Suppose the cubic x^(3)-px+q has three distinct real roots, where p gt...
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- The total number of local maxima and local minima of the function : ...
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- Let the function g:(-oo, oo) to (-(pi)/(2), (pi)/(2)) be given by g(u)...
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- Given P(x)=x^(4)+ax^(3)+ + bx^(2)+cx+d such that x =0 is the only real...
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