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Medium Determining areas of the regions bounded by simple curves in standard forms MCQs for JEE

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Q1MathsUnit 8: Integral Calculus
Three solid cubes of sides 1cm,6cm1 \mathrm{cm}, 6 \mathrm{cm} and 8cm8 \mathrm{cm} respectively are melted to form a new cube. Find the surface area of the cube so formed.
Q2MathsUnit 8: Integral Calculus
Draw the graph of straight line y=y= 2x+3.-2 x+3 . Use your graph to find the area between the line and co-ordinate axes.
Q3MathsUnit 8: Integral Calculus
It cost Rs 4020 to paint the inner curved surface area of hemisphere of radius 8 mm. If it is painted at rate of Rs. 10 per m2m^{2}. Find inner curved surface.
Q4MathsUnit 8: Integral Calculus
Determine the area of the shaded segment
Q5MathsUnit 8: Integral Calculus
The area of the region bounded by the curve y=x2+1\boldsymbol{y}=\boldsymbol{x}^{2}+\mathbf{1} and y=2x2\boldsymbol{y}=\mathbf{2} \boldsymbol{x}-\mathbf{2} between x=1x=-1 and x=2x=2 is:
Q6MathsUnit 8: Integral Calculus
The volume of the global hemisphere is 19404in3.19404 i n^{3} . Find its diameter.
Q7MathsUnit 8: Integral Calculus
The area bounded by the xx- axis, the curve y=f(x)y=f(x) and the lines x=1x=1 and x=bx=b is equal to (b2+12)(\sqrt{b^{2}+1}-\sqrt{2}) for all b>1,\boldsymbol{b}>1, then f(x)\boldsymbol{f}(\boldsymbol{x}) is
Q8MathsUnit 8: Integral Calculus
A sphere of radius 3cm3 \mathrm{cm} is dropped into a cylindrical vessel of radius 4cm4 \mathrm{cm}. If the sphere is submerged completely, then the height (in cm) to which the water rises, is

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