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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Choose the correct option from the given alternatives : The area under the curve y = 2x, enclosed between the lines x = 0 and x = 1 is - Mathematics and Statistics

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प्रश्न

Choose the correct option from the given alternatives :

The area under the curve y = `2sqrt(x)`, enclosed between the lines x = 0 and x = 1 is

पर्याय

  • 4 sq units

  • `(3)/(4) "sq unit"`

  • `(2)/(3) "sq unit"`

  • `(4)/(3) "sq units"`

MCQ
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उत्तर

`(4)/(3) "sq units"`.

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Area Bounded by the Curve, Axis and Line
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Application of Definite Integration - Miscellaneous Exercise 5 [पृष्ठ १८९]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 5 Application of Definite Integration
Miscellaneous Exercise 5 | Q 1.08 | पृष्ठ १८९

संबंधित प्रश्‍न

Find the area of the region bounded by the following curves, X-axis and the given lines : y = sin x, x = 0, x = `pi/(2)`


Find the area of the region bounded by the following curves, X-axis and the given lines: y2 = 16x, x = 0, x = 4


Find the area of the region bounded by the parabola y2 = 16x and its latus rectum.


Find the area of the region bounded by the parabola: y = 4 – x2 and the X-axis.


Find the area of the region included between y2 = 2x and y = 2x.


Find the area of the region included between: y2 = 4x, and y = x


Choose the correct option from the given alternatives :

The area bounded by the curve y = x3, the X-axis and the lines x = – 2 and x = 1 is


The area enclosed between the parabola y2 = 4x and line y = 2x is ______.


Choose the correct option from the given alternatives :

The area of the region bounded between the line x = 4 and the parabola y2 = 16x is ______.


The area of the region bounded by y = cos x, Y-axis and the lines x = 0, x = 2π is ______.


Choose the correct option from the given alternatives :

The area bounded by the parabola y2 = 8x, the X-axis and the latus rectum is


Choose the correct option from the given alternatives :

The area of the circle x2 + y2 = 25 in first quadrant is 


Choose the correct option from the given alternatives :

The area enclosed between the two parabolas y2 = 4x and y = x is


The area bounded by the curve y = tan x, X-axis and the line x = `pi/(4)` is ______.


Choose the correct option from the given alternatives :

The area of the region included between the parabolas y2 = 4ax and x2 = 4ay, (a > 0) is given by


Choose the correct option from the given alternatives :

The area of the region included between the line x + y = 1 and the circle x2 + y2 = 1 is


Solve the following :

Find the area of the region in first quadrant bounded by the circle x2 + y2 = 4 and the X-axis and the line x = `ysqrt(3)`.


Solve the following :

Find the area of the region bounded by the parabola y2 = x and the line y = x in the first quadrant.


Solve the following :

Find the area of the region bounded by the following curve, the X-axis and the given lines : y = sin x, x = 0, x = `pi/(3)`


Solve the following:

Find the area of the region lying between the parabolas: 4y2 = 9x and 3x2 = 16y


Solve the following :

Find the area of the region lying between the parabolas : y2 = x and x2 = y.


Solve the following :

Find the area of the region bounded by the curve (y – 1)2 = 4(x + 1) and the line y = (x – 1).


Solve the following :

Find the area of the region bounded by the straight line 2y = 5x + 7, X-axis and x = 2, x = 5.


Solve the following:

Find the area of the region bounded by the curve y = 4x2, Y-axis and the lines y = 1, y = 4.


The area bounded by the ellipse `x^2/4 + y^2/25` = 1 and the line `x/2 + y/5` = 1 is ______ sq.units


Find the area bounded by the curve y = sin x, the lines x = 0 and x = `pi/2`


Find the area of the region bounded by the parabola y2 = 32x and its Latus rectum in first quadrant


Find the area of the region bounded by the curve y = x2, the X−axis and the given lines x = 0, x = 3


Find the area of the region bounded by the curve x2 = 12y, the Y−axis and the given lines y = 2, y = 4, x ≥ 0


Using integration, find the area of the region bounded by the line 2y + x = 8 , X−axis and the lines x = 2 and x = 4


Find the area of the region bounded by the parabola y2 = 16x and the line x = 4


Find the area of the region bounded by the curves y2 = 4ax and x2 = 4ay


Find the area of the sector bounded by the circle x2+ y2 = 16, and the line y = x in the first quadrant


Find the area of the region bounded by the curve (y − 1)2 = 4(x + 1) and the line y = (x − 1)


Find the area of the region bounded by the curve y2 = 4x, the X-axis and the lines x = 1, x = 4 for y ≥ 0.


Find the area of the region bounded by the curve y = x2 and the line y = 4.


Find the area common to the parabola y2 = x – 3 and the line x = 5.


Find the area of the region bounded by the curve y = x2, and the lines x = 1, x = 2, and y = 0.


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