English

The area bounded by the curve y2 = x2, and the line x = 8 is ______ - Mathematics and Statistics

Advertisements
Advertisements

Question

The area bounded by the curve y2 = x2, and the line x = 8 is ______

Options

  • 16 sq.units

  • 64 sq.units

  • 32 sq.units

  • 4 sq.units

MCQ
Fill in the Blanks
Advertisements

Solution

64 sq.units 

shaalaa.com
Area Bounded by the Curve, Axis and Line
  Is there an error in this question or solution?
Chapter 2.5: Application of Definite Integration - MCQ

APPEARS IN

RELATED QUESTIONS

Find the area of the region bounded by the following curves, X-axis and the given lines : x = 0, x = 5, y = 0, y = 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: y = x2 and the line y = 4x


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


Find the area of the region included between y = x2 + 3 and the line y = x + 3.


Choose the correct option from the given alternatives :

The area bounded by the regional 1 ≤ x ≤ 5 and 2 ≤ y ≤ 5 is given by ______.


Choose the correct option from the given alternatives :

The area of the region enclosed by the curve y = `(1)/x`, and the lines x = e, x = e2 is given by


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


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 bounded by the parabola y2 = x and the line 2y = x is


Choose the correct option from the given alternatives :

The area bounded by the parabola y = x2 and the line y = x 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 bounded by x2 = 16y, y = 1, y = 4 and x = 0 in the first quadrant, 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 following curve, the X-axis and the given lines : y = sin x, x = 0, x = π


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.


The area of the region bounded by the ellipse x2/64 + y2/100 = 1, is ______ sq.units


The area bounded by the parabola y2 = x along the X-axis and the lines x = 0, x = 2 is ______ sq.units


The area bounded by the parabola y2 = 32x the X-axis and the latus rectum is ______ sq.units


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


The area enclosed by the line 2x + 3y = 6 along X-axis and the lines x = 0, x = 3 is ______ sq.units


Find the area bounded by the curve y2 = 36x, the line x = 2 in first quadrant 


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 curve x2 = 12y, the Y−axis and the given lines y = 2, y = 4, x ≥ 0


Find the area of the region bounded by the curves x2 = 8y, y = 2, y = 4 and the Y-axis, lying 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)


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×