A window is in the form of a rectangle...

A window is in the form of a rectangle surmounted by a semi-circle. If the total perimeter of the window is `30"m",` find the dimensions of the window so that maximum light is admitted.

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A window is in the form of a rectangle surmounted by a semicircular opening. The total perimeter of the window is 10 m. Find the dimensions of the window to admit maximum light through the whole opening.

A window is in the form of a rectangle surmounted by a semi-circular opening. The total perimeter of the window is 10 meters. Find the dimensions of the rectangle so as to admit maximum light through the whole opening.

A window is in the shape of a rectangle surmounted by a semi circle. If the perimeter of the window is of fixed length k then the maximum area of the window is

A window has the shape of a rectangle surmounted by an equilateral triangle. If the perimeter of the window is 12 m, find the dimensions of the rectangle that will produce the largest area of the window.

A large window has the shape of a rectangle surmounted by an equilateral triangle. If the perimeter of the window is 12 metres find the dimensions of the rectangle that will produce the largest area of the window.

A window is in the form of a rectangle, together with a semi-circle on its top side as diameter. If the perimeter of the window is 80 inches, determine the dimensions of the rectangle, so that a maximum amount of light may be admitted.

The perimeter of a rectangle is 40 cm. Find the dimensions of the rectangle if its area is maximum.

A rectangle is inscribed in a semi-circle of radius r with one of its sides on diameter of semi-circle. Find the dimensions of the rectangle so that its area is maximum. Find also the area.

A plot is in the form of a rectangle A B C D having semi-circle on B C as shown in Figure. If A B=60 m\ a n d\ B C=28 c m , find the area of the plot.

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions

Solve the following differential equation: ("y"^2- "x"^2)"dy"=3"x y ...
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Verify that "y"="Acos x"-"Bsinx" is solution of the differential eq...
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A window is in the form of a rectangle surmounted by a semi-circle. ...
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An open box, with a square base, is to be made out of a given quanti...
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Find the intervals in which the function "f"("x")="x"^"3"- "12"x^2+ ...
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Evaluate: int sqrt(tan theta) d theta
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Using matrices, solve the following system of equations: 3"x"-"y"+"...
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Differentiate sqrt ("tan x")" w.r.t x from first principle.
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Evaluate: \lim{x\rightarrow \infty }sqrt(x^2+x+1)-x
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Prove that int"o"^"a""f"("x")"dx"=""int"o"^"a""f "("a"-"x")"dx"dot
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Evaluate : int("x"^2+1)/(("x"+1)^2)"dx"
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Evaluate: int1/(1+x+x^2+x^3)\ dx
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Find the coordinates of the point where the line ("x"+1"")/2=("y"+2...
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Using properties of determinants, prove the following: \begin{vmatri...
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Solve the following differential equation: "sinx"("dy")/("dx")+y"co...
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Express the matrix [(7,1,5),(-4,0,3),(-2,6,1)]as the sum of a symmetri...
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Two cards are drawn successively with replacement from a well shuff...
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Find the image of the point (1,2, 3) in the plane "x"+2"y"+4"z"=38
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A and B toss coin alternately till one of them gets a head and wins...
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If y=tan^(-1)((sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))) fin...
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