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MODERN PUBLICATION-APPLICATION OF DERIVATIVES -Multiple Choice Questions LEVEL-II
- The curves y=x^(2) and 6y=7-x^(3) intersect at the point (1, 1) at an ...
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- The curve ((x)/(a))^(n)+((y)/(b))^(n)=2 touches the straight line (x)/...
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- Let f(x) and g(x) be differentiable for 0 le x le 1 such that f(0)=0,...
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- A cannon ball is fired at an angle theta, 0 lt theta lt pi//2, with th...
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- The area of the triangle formed by the co-ordinate axes and a tangent ...
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- If a+b+c=0, then the equation 3ax^(2)+2bx+c=0 has :
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- Let f(x) be twice differentiable on [1, 3], and let f(1)=f(3). Further...
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- Let f be a real valued function defined on (0, 1) cup (2, 4), such tha...
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- If x in (0, pi//2), then :
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- 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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