हिंदी

Area of the region bounded by the curve x = y2, the positive Y axis and the lines y = 1 and y = 3 is ______

Advertisements
Advertisements

प्रश्न

Area of the region bounded by the curve x = y2, the positive Y axis and the lines y = 1 and y = 3 is ______

विकल्प

  • 26 sq.units

  • 3 sq.units

  • `3/26` sq.units

  • `26/3` sq.units

MCQ
रिक्त स्थान भरें
Advertisements

उत्तर

Area of the region bounded by the curve x = y2, the positive Y axis and the lines y = 1 and y = 3 is `bb underline(26/3  "sq.units")`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1.7: Application of Definite Integration - Q.1 (A)

संबंधित प्रश्न

Using integration find the area of the region {(x, y) : x2+y2⩽ 2ax, y2⩾ ax, x, y ⩾ 0}.


Find the area of the smaller part of the circle x2 + y2 = a2 cut off by the line  `x = a/sqrt2`


Find the area under the given curve and given line:

y = x2, x = 1, x = 2 and x-axis


Find the area enclosed by the parabola 4y = 3x2 and the line 2y = 3x + 12


Find the area of the smaller region bounded by the ellipse `x^2/9 + y^2/4` and the line `x/3 + y/2 = 1`


Using the method of integration find the area of the triangle ABC, coordinates of whose vertices are A(2, 0), B (4, 5) and C (6, 3).


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 following curve, the X-axis and the given line:

y = 2 – x2, x = –1, x = 1


Find the area of the region bounded by the parabola y2 = 4x and the line x = 3.


Area of the region bounded by x2 = 16y, y = 1 and y = 4 and the Y-axis, lying in the first quadrant is _______.


Choose the correct alternative :

Area of the region bounded by y = x4, x = 1, x = 5 and the X-axis is _____.


Fill in the blank :

Area of the region bounded by x2 = 16y, y = 1, y = 4 and the Y-axis, lying in the first quadrant is _______.


Fill in the blank :

The area of the region bounded by the curve x2 = y, the X-axis and the lines x = 3 and x = 9 is _______.


State whether the following is True or False :

The area bounded by the curve y = f(x), X-axis and lines x = a and x = b is `|int_"a"^"b" f(x)*dx|`.


State whether the following is True or False :

The area of the portion lying above the X-axis is positive.


Solve the following:

Find the area of the region bounded by the curve x2 = 25y, y = 1, y = 4 and the Y-axis.


Choose the correct alternative:

Using the definite integration area of the circle x2 + y2 = 16 is ______


Choose the correct alternative:

Area of the region bounded by x = y4, y = 1 and y = 5 and the Y-axis lying in the first quadrant is ______


The area of the region bounded by the curve y2 = 4x, the X axis and the lines x = 1 and x = 4 is ______


The area of the region bounded by y2 = 25x, x = 1 and x = 2 the X axis is ______


Find the area of the region bounded by the curve 4y = 7x + 9, the X-axis and the lines x = 2 and x = 8


Find the area of the region bounded by the curve y = (x2 + 2)2, the X-axis and the lines x = 1 and x = 3


The ratio in which the area bounded by the curves y2 = 8x and x2 = 8y is divided by the line x = 2 is ______ 


The area of the region bounded by the curve y = x IxI, X-axis and the ordinates x = 2, x = –2 is ______.


The area bounded by the curve | x | + y = 1 and X-axis is ______.


The area enclosed by the parabola x2 = 4y and its latus rectum is `8/(6m)` sq units. Then the value of m is ______.


Find the area of the region lying in the first quadrant and bounded by y = 4x2, x = 0,y = 2 and y = 4.


What is the area of an arbitrary elementary vertical strip of height \[y\] and width \[dx\]?


What is the total area bounded by \[y=f(x)\], the \[x\]-axis, and the ordinates \[x=a\] and \[x=b\], when the region is above the \[x\]-axis?


Why cannot a curve crossing the \[x\]-axis within \[a,b\] be integrated directly from \[a\] to \[b\] to obtain total area?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×