A coplanar beam of light emerging from a point source have the equation \( \lambda x-y+2(1+\lamb... VIDEO
A coplanar beam of light emerging from a point source have the equation \( \lambda x-y+2(1+\lambda)=0, \forall \lambda \in R \); the rays of the beam strike an elliptical surface and get reflected inside the ellipse. The reflected rays form another convergent beam having the equation \( \mu x-y+2(1-\mu)=0, \forall \mu \in R \). Further it is found that the foot of the perpendicular from the point \( (2,2) \) upon any tangent to the ellipse lies on the circle \( x^{2}+y^{2}-4 y-5=0 \)https://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 2022-10-28 Let \( f(x)=\sin ^{6}\left(\frac{x}{4}\right)+\cos ^{6}\left(\frac{x}{4}\right) \). If \( f^{n}(... 2022-10-28 Let \( f_{n}(x)=(\sin x)^{1 / n}+(\cos x)^{1 / n}, x \in R \), then :
(a) \( f_{2}(x)1 \) for al... 2022-10-28 Let \( f(x)=x^{2}+\lambda x+\mu \cos x, \lambda \) being an integer and \( \mu \) is a real numb... 2022-10-28 Which of the following function is periodic with fundamental period \( \pi \) ?
(a) \( f(x)=\cos... 2022-10-28 Set of values of ' \( a \) ' for which the function \( f: R \rightarrow R \), given by \( f(x)=x... 2022-10-28 A coplanar beam of light emerging from a point source have the equation \( \lambda x-y+2(1+\lamb... 2022-10-28 Range of \( f(x)=\log _{[x]}\left(9-x^{2}\right) \); where [.] denotes G.I.F. is :
(a) \( \{1,2\... 2022-10-28 Let \( f: D \rightarrow R \) be defined as \( : f(x)=\frac{x^{2}+2 x+a}{x^{2}+4 x+3 a} \) where ... 2022-10-28 If \( e^{x}+e^{f(x)}=e \), then for \( f(x) \) :
(a) Domain is \( (-\infty, 1) \) (b) Range is \... 2022-10-28 Which of the following is the graph of the curve \( \sqrt{|y|}=x \) is ? 2022-10-28 A coplanar beam of light emerging from a point source have the equation \( \lambda x-y+2(1+\lamb... 2022-10-28 The maximum integral value of \( x \) in the domain of \( f(x)=\log _{10}\left(\log _{1 / 3}\lef... 2022-10-28 If \( f: R \rightarrow R, f(x)=\frac{x^{2}+a x+1}{x^{2}+x+1} \), then the complete set of values... 2022-10-28 If \( f:(-\infty, 2] \longrightarrow(-\infty, 4] \), where \( f(x)=x(4-x) \), then \( f^{-1}(x) ... 2022-10-28 Range of the function \( f(x)=\log _{2}\left(2-\log _{\sqrt{2}}\left(16 \sin ^{2} x+1\right)\rig... 2022-10-28 \( \lim _{n \rightarrow \infty} \frac{1}{n^{3}}\left(\sqrt{n^{2}+1}+2 \sqrt{n^{2}+2^{2}}+\ldots ... 2022-10-28 Questions Asked in Previous 10 Years' Exams
Let \( y^{\prime}(x)+y(x) g^{\prime}(x)=g(x) g^{\pri... 2022-10-28 The expression \( (\sec A \sec B+\tan A \tan B)^{2}-(\sec A \tan B+\tan A \sec B)^{2} \) is simp... 2022-10-28 For each positive integer \( n \), define a function \( f_{n} \) on \( [0,1] \) as follows :
\[
... 2022-10-28 Let \( g(x)=x^{C} e^{C x} \) and \( f(x)=\int_{0}^{x} t e^{2 t}\left(1+3 t^{2}\right)^{1 / 2} d ... 2022-10-28 Let \( I_{n}=\int_{1}^{e^{2}}(\ln x)^{n} d\left(x^{2}\right) \), then the value of \( 2 I_{n}+n ...
0