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 \( x \in[0, \pi] \). 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 2024-01-22 If \( A \) is the area bounded by the curves \( y=\sqrt{1-x^{2}} \)
and \( y=x^{3}-x \), then th.... 2024-01-22 The general solution of the differential equation
\( \frac{d y}{d x}+\sin \left(\frac{x+y}{2}\ri.... 2024-01-22 Match the following lists.
\begin{tabular}{|l|l|l|l|}
\hline & List -I & & List -II \\
\hline (A.... 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 A function \( y=f(x) \) has a second order derivatives
\( f^{\prime \prime}(x)=6(x-1) \). If its.... 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 \( \frac{d y}{d x}+2 y \tan x=\sin x \), is.... 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 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 the differential equation,
\( y d x+\left(x+x^{2} y\right) d y=0 \) is.... 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 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 of bounded by the curve \( x^{2}=4 y \) and the
straight line \( x=4 y-2 \), is.... 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 bounded by the parabolas
\( x=-2 y^{2}, x=1-3 y^{2} \) is.... 2024-01-22 If \( \int \frac{\cot ^{3} x \cos x}{\left(\sin ^{5} x+\cos ^{5} x\right)^{3 / 5}} d x=\frac{-1}.... 2024-01-22 The area bounded by the curve \( x y^{2}=4(2-x) \) and
\( y \)-axis, is.... 2024-01-22 The area bounded by the curves \( y=\sin x \) and \( y= \)
\( \cos x \) between two consecutive .... 2024-01-22 The area bounded by the parabola \( y=x^{2}+1 \) and
the straight line \( x+y=3 \), is.... 2024-01-22 The area bounded by the curve \( y=(x-1)(x-2) \)
\( (x-3) \) lying between the ordinates \( x=1 ....