Consider the two curves \( c_{1}: y=1+\cos x \) and
\( c_{2}: y=1+\cos (x-\alpha) \) for \( \alp.... VIDEO
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
W
\( x \in[0, \pi] \). 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 \( x=\pi \).
The value of \( \alpha \) is
(1) \( \frac{\pi}{4} \)
(2) \( \frac{\pi}{3} \)
(3) \( \frac{\pi}{6} \)
(4) \( \frac{\pi}{8} \)
.
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2024-01-22 The solution of the differential equation \( x d y-y d x=\left(\sqrt{x^{2}+y^{2}}\right) d x \) .... 2024-01-22 Solution of the equation
\( \cos x \cos y \frac{d y}{d x}=-\sin x \sin y \) is.... 2024-01-22 Area of the region bounded by the curve \( y=e^{x^{2}} \)
and the line \( y=e \) is.... 2024-01-22 The solution of the differential equation
\( P \)
\( \frac{d y}{d x}+\frac{1+\cos 2 y}{1-\cos 2 .... 2024-01-22 The area bounded by the curves \( y=x(x-3)^{2} \) and
\( y=x \) is (in sq. units).... 2024-01-22 The general solution of the differential equation
\( \frac{d y}{d x}+\sin \left(\frac{x+y}{2}\ri.... 2024-01-22 If \( S \) is the sum of possible values of ' \( C \) ' for which
the area of the figure bounded.... 2024-01-22 Consider the two curves \( c_{1}: y=1+\cos x \) and
\( c_{2}: y=1+\cos (x-\alpha) \) for \( \alp.... 2024-01-22 If \( A \) is the area bounded by the curves \( y=\sqrt{1-x^{2}} \)
and \( y=x^{3}-x \), then th.... 2024-01-22 Let \( A(k) \) be the area bounded by the curves
\( y=x^{2}+2 x-3 \) and \( y=k x+1 \). Then.... 2024-01-22 Consider the two curves \( c_{1}: y=1+\cos x \) and
\( c_{2}: y=1+\cos (x-\alpha) \) for \( \alp.... 2024-01-22 The integrating factor of the differential equation
\( \frac{d y}{d x}=y \tan x-y^{2} \sec x \),.... 2024-01-22 The solution of \( \frac{d y}{d x}+2 y \tan x=\sin x \), is.... 2024-01-22 The area of the region bounded by the curve
\( y=\sqrt{5-x^{2}} \) and \( y=|x-1| \), is.... 2024-01-22 The solution of the differential equation,
\( y d x+\left(x+x^{2} y\right) d y=0 \) is.... 2024-01-22 If the curve \( y=a x^{\frac{1}{2}}+b x \) passes through the point
\( (1,2) \) and lies above t.... 2024-01-22 The area bounded by \( y=x^{2} \) and \( y=x^{\frac{1}{3}} \) for
\( x \in[-1,1] \) is
W..... 2024-01-22 The area of bounded by the curve \( y=x^{2} \) and
\( y=\frac{2}{1+x^{2}} \), is.... 2024-01-22 The area of bounded by the curve \( x^{2}=4 y \) and the
straight line \( x=4 y-2 \), is.... 2024-01-22 Match the entries of Column-I with those of Column-II.
\begin{tabular}{|l|l|l|l|}
\hline \multic.... 2024-01-22 The area bounded by the parabolas
\( x=-2 y^{2}, x=1-3 y^{2} \) is....