Consider the two curves \( c_{1}: y=1+\cos x \) and \( c_{2}: y=1+\cos (x-\alpha) \) for \( \alp....

Channel:
PW Solutions
Subscribers:
443,000
Published on ● Video Link: https://www.youtube.com/watch?v=d2oA_BNES9U


Category:
Let's Play
Duration: 5:27
0 views
0

Consider the two curves \( c_{1}: y=1+\cos x \) and
\( \mathrm{P} \)
\( c_{2}: y=1+\cos (x-\alpha) \) for \( \alpha \in\left(0, \frac{\pi}{2}\right) \), where \( x \in[0, \pi] \). Also the area of the figure bounded by the curve \( c_{1}, c_{2} \) and \( x=0 \) is same as that of the figure bounded by \( c_{2}, y=1 \) and \( x=\pi \).

For the values of \( \alpha \), the area bounded by \( c_{1}, c_{2}, x= \) 0 and \( x=\pi \) is
(1) 1 sq. unit
(2) 2 sq. units
(3) \( 2+\sqrt{3} \) sq. units
(4). None of these
.
(4)(D)(819)


📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2024-01-22The solution of the differential equation \( \frac{d y}{d x}=\frac{x-y+3}{2(x-y)+5} \) is W.....
2024-01-22Match the following lists. \begin{tabular}{|l|l|l|l|} \hline & List -I & & List -II \\ \hline (A....
2024-01-22A function \( y=f(x) \) has a second order derivatives \( f^{\prime \prime}(x)=6(x-1) \). If its....
2024-01-22The solution of the differential equation \( x d y-y d x=\left(\sqrt{x^{2}+y^{2}}\right) d x \) ....
2024-01-22Solution of the equation \( \cos x \cos y \frac{d y}{d x}=-\sin x \sin y \) is....
2024-01-22Area of the region bounded by the curve \( y=e^{x^{2}} \) and the line \( y=e \) is....
2024-01-22The solution of the differential equation \( P \) \( \frac{d y}{d x}+\frac{1+\cos 2 y}{1-\cos 2 ....
2024-01-22The area bounded by the curves \( y=x(x-3)^{2} \) and \( y=x \) is (in sq. units)....
2024-01-22The general solution of the differential equation \( \frac{d y}{d x}+\sin \left(\frac{x+y}{2}\ri....
2024-01-22If \( S \) is the sum of possible values of ' \( C \) ' for which the area of the figure bounded....
2024-01-22Consider the two curves \( c_{1}: y=1+\cos x \) and \( c_{2}: y=1+\cos (x-\alpha) \) for \( \alp....
2024-01-22If \( A \) is the area bounded by the curves \( y=\sqrt{1-x^{2}} \) and \( y=x^{3}-x \), then th....
2024-01-22Let \( A(k) \) be the area bounded by the curves \( y=x^{2}+2 x-3 \) and \( y=k x+1 \). Then....
2024-01-22Consider the two curves \( c_{1}: y=1+\cos x \) and \( c_{2}: y=1+\cos (x-\alpha) \) for \( \alp....
2024-01-22The integrating factor of the differential equation \( \frac{d y}{d x}=y \tan x-y^{2} \sec x \),....
2024-01-22The solution of \( \frac{d y}{d x}+2 y \tan x=\sin x \), is....
2024-01-22The area of the region bounded by the curve \( y=\sqrt{5-x^{2}} \) and \( y=|x-1| \), is....
2024-01-22The solution of the differential equation, \( y d x+\left(x+x^{2} y\right) d y=0 \) is....
2024-01-22If the curve \( y=a x^{\frac{1}{2}}+b x \) passes through the point \( (1,2) \) and lies above t....
2024-01-22The area bounded by \( y=x^{2} \) and \( y=x^{\frac{1}{3}} \) for \( x \in[-1,1] \) is W.....
2024-01-22The area of bounded by the curve \( y=x^{2} \) and \( y=\frac{2}{1+x^{2}} \), is....