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- Two towns Aa n dB are 60 km apart. A school is to be built to serve 1...
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- Let f(x) be differentiable function and g(x) be twice differentiable f...
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- Find the range of f(x)(x^2-x+1)/(x^2+x+1)
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- Show that between any two roots of e^(-x)-cosx=0, there exists at leas...
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- Discuss the maxima and minima points of f(x)=2x^3-3x^2-12 x+15
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- If 2a+3b+6c=0 then the equation ax^2+bx+c=0 has in the interval (0,1)
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- A figure is bounded by the curves y=x^2+1, y=0,x=0,a n dx=1. At what p...
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- If the equation a x^2+b x+c=0 has two positive and real roots, then pr...
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- Find the minimum length of radius vector of the curve (a^2)/(x^2)+(b^...
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- Let P(x) be a polynomial with real coefficients such that P(sin^2x)=P(...
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- Show that the cone of the greatest volume which can be inscribed in a ...
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- If the curve y=a x^2-6x+b pass through (0,2) and has its tangent paral...
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- Find the point at which the slope of the tangent of the function f(x)=...
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- Find the equation of the tangent to the curve (1+x^2)y=2-x , where it ...
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- An electric light is placed directly over the centre of a circular plo...
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- A curve is given by the equation x=sec^(2)theta,y=cottheta. If the tan...
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- Find the equations of the tangents drawn to the curve y^2-2x^3-4y+8...
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- A square is inscribed in circle of radius R, a circle is inscribed in ...
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- At the point P(a,a^n) on the graph of y=x^n(ninN) in the first quadran...
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- Find the equation of the normal to the curve x^3+y^3=8x y at the point...
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