English

Choose the correct alternative: Area of the region bounded by the parabola y2 = 25x and the lines x = 5 is ______ - Mathematics and Statistics

Advertisements
Advertisements

Question

Choose the correct alternative:

Area of the region bounded by the parabola y2 = 25x and the lines x = 5 is ______

Options

  • `(75sqrt(5))/2` sq.units

  • `(20sqrt(5))/3` sq.units

  • `(100sqrt(5))/3` sq.units

  • `(75sqrt(5))/3` sq.units

MCQ
Fill in the Blanks
Advertisements

Solution

`(100sqrt(5))/3` sq.units

shaalaa.com
  Is there an error in this question or solution?
Chapter 1.7: Application of Definite Integration - Q.1 (A)

RELATED QUESTIONS

Using integration find the area of the triangle formed by positive x-axis and tangent and normal of the circle

`x^2+y^2=4 at (1, sqrt3)`


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 under the given curve and given line:

y = x4, x = 1, x = 5 and x-axis


Sketch the graph of y = |x + 3| and evaluate `int_(-6)^0 |x + 3|dx`


Find the area of the region enclosed by the parabola x2 = y, the line y = x + 2 and x-axis


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


Find the area of the smaller region bounded by the ellipse \[\frac{x^2}{9} + \frac{y^2}{4} = 1\] and the line \[\frac{x}{3} + \frac{y}{2} = 1 .\]


Find the area of the region. 

{(x,y) : 0 ≤ y ≤ x, 0 ≤ y ≤ x + 2 ,-1 ≤ x ≤ 3} .


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 + x = 8, x = 2, 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


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


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


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 ______


The area of the region bounded by the curve y2 = x and the Y axis in the first quadrant and lines y = 3 and y = 9 is ______


The area of the region x2 = 4y, y = 1 and y = 2 and the Y axis lying in the first quadrant 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 y = (x2 + 2)2, the X-axis and the lines x = 1 and x = 3


Find the area of the circle x2 + y2 = 62 


Find the area of the circle x2 + y2 = 16


`int "e"^x ((sqrt(1 - x^2) * sin^-1 x + 1)/sqrt(1 - x^2))`dx = ________.


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


Find the area between the two curves (parabolas)

y2 = 7x and x2 = 7y.


Area bounded by the curves y = `"e"^(x^2)`, the x-axis and the lines x = 1, x = 2 is given to be α square units. If the area bounded by the curve y = `sqrt(ℓ "n"x)`, the x-axis and the lines x = e and x = e4 is expressed as (pe4 – qe – α), (where p and q are positive integers), then (p + q) is ______.


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 ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×