हिंदी

Find the Area Bounded by the Curve X2 = 4y and the Line X = 4y – 2 - Mathematics

Advertisements
Advertisements

प्रश्न

Find the area bounded by the curve x2 = 4y and the line x = 4– 2

Advertisements

उत्तर

The area bounded by the curve, x2 = 4y, and line, x = 4– 2, is represented by the shaded area OBAO.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Application of Integrals - Exercise 8.1 [पृष्ठ ३६६]

APPEARS IN

एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 8 Application of Integrals
Exercise 8.1 | Q 10 | पृष्ठ ३६६

वीडियो ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्न

Find the area of the region bounded by the curve y2 = x and the lines x = 1, x = 4 and the x-axis.


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


Find the area of the region bounded by the ellipse  `x^2/16 + 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.


The area between x = y2 and x = 4 is divided into two equal parts by the line x = a, find the value of a.


Find the area of the region bounded by the parabola y = x2 and y = |x| .


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


Find the area under the given curve and given line:

y = x2, x = 1, x = 2 and x-axis


Find the area under the given curve and given line:

y = x4, x = 1, x = 5 and x-axis


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 equation of an ellipse whose latus rectum is 8 and eccentricity is `1/3`


Using integration find the area of the triangle formed by negative x-axis and tangent and normal to the circle `"x"^2 + "y"^2 = 9  "at" (-1,2sqrt2)`.


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 curve, the X-axis and the given line:

y = 2 – x2, x = –1, x = 1


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 _______.


The area of the region bounded by y2 = 4x, the X-axis and the lines x = 1 and x = 4 is _______.


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.


Find the area of the region bounded by y = x2, the X-axis and x = 1, x = 4.


Choose the correct alternative:

Area of the region bounded by the curve x2 = 8y, the positive Y-axis lying in the first quadrant and the lines y = 4 and y = 9 is ______


Choose the correct alternative:

Area of the region bounded by y2 = 16x, x = 1 and x = 4 and the X axis, lying in the first quadrant is ______


State whether the following statement is True or False:

The area of portion lying below the X axis is negative


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


Find area of the region bounded by the curve y = – 4x, the X-axis and the lines x = – 1 and x = 2


Find area of the region bounded by the parabola x2 = 4y, the Y-axis lying in the first quadrant and the lines y = 3


Find the area of the region bounded by the curve y = `sqrt(36 - x^2)`, the X-axis lying in the first quadrant and the lines x = 0 and x = 6


The area enclosed between the curve y = loge(x + e) and the coordinate axes is ______.


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


Area enclosed between the curve y2(4 - x) = x3 and line x = 4 above X-axis is ______.


Area under the curve `y=sqrt(4x+1)` between x = 0 and x = 2 is ______.


The area bounded by the X-axis, the curve y = f(x) and the lines x = 1, x = b is equal to `sqrt("b"^2 + 1) - sqrt(2)` for all b > 1, then f(x) is ______.


Find the area between the two curves (parabolas)

y2 = 7x and x2 = 7y.


The figure shows as triangle AOB and the parabola y = x2. The ratio of the area of the triangle AOB to the area of the region AOB of the parabola y = x2 is equal to ______.


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


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×