Prove that the curves y^2 = 4x, x^2 = 4y...

Prove that the curves `y^2 = 4x, x^2 = 4y`, divide the area of the square bounded by `x = 0, x= 4, y = 4, y = 0` into three equal parts.

Topper's Solved these Questions

APPLICATIONS OF INTEGRALS
PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos
APPLICATIONS OF DERIVATIVES
PRADEEP PUBLICATION|Exercise EXERCISE|502 Videos
CONTINUITY AND DIFFERENTIABILITY
PRADEEP PUBLICATION|Exercise EXERCISE|788 Videos

Similar Questions

Explore conceptually related problems

find the area of the region bounded by 'y^2=4x' and x=2

Find the area of the region bounded by y=4x^2 ,x=0,y=1,y=4 in the first quadrant.

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

Find the area of region bounded by curve x^2=y and y=4 .

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

Find the area of the region bounded by the curves y = x^2, y = x, x = 0 and x = 3 .

PRADEEP PUBLICATION-APPLICATIONS OF INTEGRALS-EXERCISE

Prove that the curves y^2 = 4x, x^2 = 4y, divide the area of the squar...
Text Solution
|
Using integration, find the region bounded by the line 2y=-x+8, x-axis...
Text Solution
|
Using integration, find the area of the region bounded by the line y -...
Text Solution
|
Make a rough sketch of the graph of the function f(x)= 9-x^2, 0lexle3 ...
Text Solution
|
Sketch the rough graph of y = 4sqrt(x-1), 1 le x le3 and complete the ...
Text Solution
|
Draw rough sketch of the function y = 2sqrt(1-x^2), x in [0,1] and eva...
Text Solution
|
Find the area enclosed between the curve y ^2= 8x and the line x= 2.
Text Solution
|
Find the area of the regionn bounded by the curve y^2=x, the x-axis an...
Text Solution
|
Make a rough sketch of the functionn y= x^2, 0 lex le 3 and determine ...
Text Solution
|
Find the area of the regionn bounded by the curve x^2= 4y, the y-axis ...
Text Solution
|
Make a rough sketch of the graph of the function y = 4-x^2, 0 le xle 2...
Text Solution
|
Sketch the graph of the curve y= sqrtx+ 1 in the interval [0,4] and de...
Text Solution
|
Make a rough sketch of the curve y = 2 sin x, 0 le x le pi, and deter...
Text Solution
|
(ii) Draw the graph of y=cos 3x, 0lexlepi/6 and find the area between ...
Text Solution
|
(i) Make a rough sketch of the graph of the function y=sin x,0lexlepi/...
Text Solution
|
Make a rough sketch of the graph of the function y = cos^2x, 0le xle p...
Text Solution
|
Using integration find the area of the region bounded by the triangle ...
Text Solution
|
Using integration find the area of region bounded by the triangle wher...
Text Solution
|
Using integration find the area of region bounded by the triangle whos...
Text Solution
|
Using integration find the area of region bounded by the triangle wher...
Text Solution
|
Using integration find the area of the circle x^2+y^2= r^2.
Text Solution
|