English

The Area of the Circle X2 + Y2 = 16 Exterior to the Parabola Y2 = 6x Is - Mathematics

Advertisements
Advertisements

Question

Choose the correct answer The area of the circle x2 + y2 = 16 exterior to the parabola y2 = 6x is

A. `4/3 (4pi - sqrt3)`

B. `4/3 (4pi + sqrt3)`

C. `4/3 (8pi - sqrt3)`

D.`4/3 (4pi + sqrt3)`

Solution

shaalaa.com
  Is there an error in this question or solution?
Chapter 8: Application of Integrals - Exercise 8.3 [Page 376]

APPEARS IN

NCERT Mathematics [English] Class 12
Chapter 8 Application of Integrals
Exercise 8.3 | Q 18 | Page 376

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Find the area of the region lying between the parabolas y2 = 4ax and x2 = 4ay.


Find the area of the circle 4x2 + 4y2 = 9 which is interior to the parabola x2 = 4y


Find the area bounded by curves (x – 1)2 + y2 = 1 and x2 + y 2 = 1


Using integration finds the area of the region bounded by the triangle whose vertices are (–1, 0), (1, 3) and (3, 2).


Using integration find the area of the triangular region whose sides have the equations y = 2x +1, y = 3x + 1 and = 4.


Smaller area enclosed by the circle x2 + y2 = 4 and the line x + y = 2 is

A. 2 (π – 2)

B. π – 2

C. 2π – 1

D. 2 (π + 2)


Area lying between the curve y2 = 4x and y = 2x is

A. 2/3

B. 1/3

C. 1/4

D. 3/4


The area bounded by the y-axis, y = cos x and y = sin x when  0 <= x <= `pi/2`

(A) 2 ( 2 −1)

(B) `sqrt2 -1`

(C) `sqrt2 + 1`

D. `sqrt2`


Show that the rectangle of the maximum perimeter which can be inscribed in the circle of radius 10 cm is a square of side `10sqrt2` cm.


Find the area included between the parabolas y2 = 4ax and x2 = 4by.


The area enclosed between the curves y = loge (x + e), x = log\[\left( \frac{1}{y} \right)\] and the x-axis is _______ .


The area between x-axis and curve y = cos x when 0 ≤ x ≤ 2 π is ___________ .


Area enclosed between the curve y2 (2a − x) = x3 and the line x = 2a above x-axis is ___________ .


Area lying between the curves y2 = 4x and y = 2x is


Solve the following :

Find the area of the region lying between the parabolas :

y2 = 4x and x2 = 4y


The area enclosed between the two parabolas y2 = 20x and y = 2x is ______ sq.units


The area of triangle ΔABC whose vertices are A(1, 1), B(2, 1) and C(3, 3) is ______ sq.units


Find the area of the ellipse `x^2/1 + y^2/4` = 1, in first quadrant


Find the area of sector bounded by the circle x2 + y2 = 25, in the first quadrant−


Find the area enclosed between the X-axis and the curve y = sin x for values of x between 0 to 2π


Find the area of the ellipse `x^2/36 + y^2/64` = 1, using integration


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


Find the area enclosed by the curve x = 3 cost, y = 2 sint.


Find the area of the region bounded by the curves x = at2 and y = 2at between the ordinate corresponding to t = 1 and t = 2.


Draw a rough sketch of the curve y = `sqrt(x - 1)` in the interval [1, 5]. Find the area under the curve and between the lines x = 1 and x = 5.


The value of a for which the area between the curves y2 = 4ax and x2 = 4ay is 1 sq.unit, is ______.


Let the area enclosed by the x-axis, and the tangent and normal drawn to the curve 4x3 – 3xy2 + 6x2 – 5xy – 8y2 + 9x + 14 = 0 at the point (–2, 3) be A. Then 8A is equal to ______.


Find the area cut off from the parabola 4y = 3x2 by the line 2y = 3x + 12.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×