हिंदी

Find the Area of the Region Bounded by Y2 = 9x, X = 2, X = 4 and the X-axis in the First Quadrant.

Advertisements
Advertisements

प्रश्न

Find the area of the region bounded by y2 = 9x, x = 2, x = 4 and the x-axis in the first quadrant.

Advertisements

उत्तर

The area of the region bounded by the curve, y2 = 9xx = 2, and x = 4, and the x-axis is the area ABCD

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Application of Integrals - Exercise 8.1 [पृष्ठ ३६५]

APPEARS IN

एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 8 Application of Integrals
Exercise 8.1 | Q 2 | पृष्ठ ३६५

वीडियो ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्न

Find the area of the region bounded by the ellipse `x^2/4 + y^2/9 = 1.`


Find the area of the region in the first quadrant enclosed by x-axis, line x = `sqrt3` y and the circle x2 + y2 = 4.


Area of the region bounded by the curve y2 = 4x, y-axis and the line y = 3 is ______.


Find the area between the curves y = x and y = x2


Find the area of the region lying in the first quadrant and bounded by y = 4x2x = 0, y = 1 and = 4


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/a^2 + y^2/b^2 = 1` and the line `x/a + y/b =   1`


Find the area of the region {(x, y) : y2 ≤ 4x, 4x2 + 4y2 ≤ 9}


Find the area bounded by the circle x2 + y2 = 16 and the line `sqrt3 y = x` in the first quadrant, using integration.


Using integration, find the area of the region {(x, y) : x2 + y2 ≤ 1 ≤ x + y}.


Find the area of the region bounded by the following curves, the X-axis and the given lines:  y = x4, x = 1, x = 5


Find the area of the region bounded by the following curves, the X-axis, and the given lines:

y = `sqrt(6x + 4), x = 0, x = 2`


Find the area of the region bounded by the following curves, the X-axis and the given lines: y = `sqrt(16 - x^2)`, x = 0, x = 4


Find the area of the region bounded by the following curves, the X-axis and the given lines:  2y = 5x + 7, x = 2, x = 8


Find the area of the region bounded by the following curves, the X-axis and the given lines: 2y + x = 8, x = 2, x = 4


Find the area of the region bounded by the following curves, the X-axis and the given lines:

y = x2 + 1, x = 0, x = 3


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


Choose the correct alternative :

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


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


Using definite integration, area of the circle x2 + y2 = 49 is _______.


State whether the following is True or False :

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


If the curve, under consideration, is below the X-axis, then the area bounded by curve, X-axis and lines x = a, x = b is positive.


State whether the following statement is True or False:

The equation of the area of the circle is `x^2/"a"^2 + y^2/"b"^2` = 1


The area of the circle x2 + y2 = 16 is ______


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


Find the area of the region bounded by the parabola y2 = 25x and the line x = 5


The area bounded by y = `27/x^3`, X-axis and the ordinates x = 1, x = 3 is ______


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 enclosed by the parabolas x = y2 - 1 and x = 1 - y2 is ______.


The area included between the parabolas y2 = 4a(x +a) and y2 = 4b(x – a), b > a > 0, is


The area of the region bounded by the curve y = x2, x = 0, x = 3, and the X-axis is ______.


The area (in sq.units) of the part of the circle x2 + y2 = 36, which is outside the parabola y2 = 9x, is ______.


Area in first quadrant bounded by y = 4x2, x = 0, y = 1 and y = 4 is ______.


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


The area bounded by the curve, y = –x, X-axis, x = 1 and x = 4 is ______.


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


The area bounded by the curve `y = 3/2sqrtx`, the line x = 1 and x-axis is ______ sq. units.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×