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- A bell tent consists of a conical portion above a cylindrical portion ...
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- A rectangle is inscribed in an equilateral triangle of side length 2a ...
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- The fuel charges for running a train are proportional to the square of...
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- A cylindrical gas container is closed at the top and open at the botto...
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- In a triangleA B C ,/B=90^0 and b+a=4. The area of the triangle is ma...
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- The three sides of a trapezium are equal, each being 8cm. The area of ...
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- A rectangle with one side lying along the x-axis is to be inscribed in...
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- A right triangle is drawn in a semicircle of radius 1/2 with one of ...
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- The least area of a circle circumscribing any right triangle of area 9...
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- The least integral value of x where f(x)=(log)(1/2)(x^2-2x-3) is monot...
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- L e tf(x)={x+2 , x <-1 ; x^2 , -1 lt= x < 1 and (x-2)^2 , ...
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- Number of integral values of b for which the equation (x^3)/3-x=b has ...
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- Let f(x)={x^(3/5),ifxlt=1and (x-2)^3,ifx >1 Then the number of c...
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- The number of nonzero integral values of a for which the function f(x)...
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- Prove that the minimum value of ((a+x)(b+x))/((c+x))a ,b > c ,x > -c ...
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- Let f(x)={|x^2-3x|+a ,0lt=x<3/2 -2x+3,xgeq3/2 If f(x) has a local ma...
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- The largest term in the sequence an=(n^2)/(n^3+200) is given by (a)(...
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- The least value of a for which the equation 4/(sinx)+1/(1-sinx)=a ha...
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- Let f be a continuous, differentiable, and bijective function. If the ...
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- Let f(x)=xsqrt(4a x-x^2),(a >0)dot Then f(x) is (a). increasing in (0,...
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