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Area included between the curves x^2+2y^2=4 and 2x^2+y^2=4 is 8√2sin^(-1)(1/√3)

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#mathatoz #area_enclosed_by_curve #area_bounded_by_two_ellise
Rajkishor Patra (M.Sc, Jadavpur University)
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Area included between the curves x^2+2y^2=4 and 2x^2+y^2=4 is 8√2sin^(-1)(1/√3)
Find the area in the first quadrant included between the parabola y^2=bx and the circle x^2+y^2=2bx.👇
Area of circle x^2+y^2=a^2 is πa^2.👇
Area of hypocycloid (x/a)^2/3+(y/b)^2/3=1 is3πab/8.👇
Area of ellipse x^2/a^2+y^2/b^2=1 is πab.👇
Area of asteroid x^3/2+y^3/2=a^3/2 is 3/8πa^2.👇
Whole area of the curve (1)a^2y^2=x^3(2a-x), (2)a^2y^2=a^2x^2-x^4, (3)(y-x)^2=a^2-x^2.👇
Show that the area bounded by hyperbola x^2-y^2=c^2, x-axis and a line drawn from the origin to any point (x,y) of the curve👇
Find the area in the first quadrant bounded x=0,x=0 and √x+√y=√a.👇
Find by integration the area of a trapezoid bounded by y=3x -1 Y=0 X=2 and x=4 check the result by using the definition of area of a trapezoid as half the sum of two parallel side multiplied by the distance between them.👇
The slope of a curve at (x,y) is 2x-3. The curve passes through (3,2). Find the area bounded by the curve , the x-axis and x=2 and x=4.👇
Area bounded by a Cardioid r=a(1+cos@).👇
Area of one arch of Cycloid. Area=3× Area of generating Circle.👇
Find the area of the loop of the curve xy^2+(x+a)^2(x+2a)=0, a greater than 0'👇
Area included between the curve x^2y^2=a^2(y^2-x^2) and it's asymptotes'.👇
Rajkishor Patra (M.Sc, Jadavpur University)
Please subscribe me👆
You can also follow me only for jee mathematics
@JeeMathsatoz-RPSir
Area included between the curves x^2+2y^2=4 and 2x^2+y^2=4 is 8√2sin^(-1)(1/√3)
Find the area in the first quadrant included between the parabola y^2=bx and the circle x^2+y^2=2bx.👇
Area of circle x^2+y^2=a^2 is πa^2.👇
Area of hypocycloid (x/a)^2/3+(y/b)^2/3=1 is3πab/8.👇
Area of ellipse x^2/a^2+y^2/b^2=1 is πab.👇
Area of asteroid x^3/2+y^3/2=a^3/2 is 3/8πa^2.👇
Whole area of the curve (1)a^2y^2=x^3(2a-x), (2)a^2y^2=a^2x^2-x^4, (3)(y-x)^2=a^2-x^2.👇
Show that the area bounded by hyperbola x^2-y^2=c^2, x-axis and a line drawn from the origin to any point (x,y) of the curve👇
Find the area in the first quadrant bounded x=0,x=0 and √x+√y=√a.👇
Find by integration the area of a trapezoid bounded by y=3x -1 Y=0 X=2 and x=4 check the result by using the definition of area of a trapezoid as half the sum of two parallel side multiplied by the distance between them.👇
The slope of a curve at (x,y) is 2x-3. The curve passes through (3,2). Find the area bounded by the curve , the x-axis and x=2 and x=4.👇
Area bounded by a Cardioid r=a(1+cos@).👇
Area of one arch of Cycloid. Area=3× Area of generating Circle.👇
Find the area of the loop of the curve xy^2+(x+a)^2(x+2a)=0, a greater than 0'👇
Area included between the curve x^2y^2=a^2(y^2-x^2) and it's asymptotes'.👇