The normal at a point \( P \) on the ellipse \( x^{2}+4 y^{2}=16 \) meets the \( x \)-axis at \(...

Channel:
Subscribers:
443,000
Published on ● Video Link: https://www.youtube.com/watch?v=vqD0hr1c5FI



Duration: 9:25
2 views
1


The normal at a point \( P \) on the ellipse \( x^{2}+4 y^{2}=16 \) meets the \( x \)-axis at \( Q \). If \( M \) is the midpoint of the line segment \( P Q \), then the locus of \( M \) intersects the latus rectums of the given ellipse at points
(1) \( (\pm(3 \sqrt{5}) / 2, \pm 2 / 7) \)
(2) \( (\pm(3 \sqrt{5}) / 2, \pm \sqrt{19} / 7) \)
(3) \( (\pm 2 \sqrt{3}, \pm 1 / 7) \)
(4) \( (\pm 2 \sqrt{3}, \pm 4 \sqrt{3} / 7) \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2022-10-28\( \frac{2 x-1}{2 x^{3}+3 x^{2}+x}0 \)
2022-10-28\( \frac{(x-1)(x+1)(x+4)(x+6)}{7 x^{2}+8 x+4}0 \)
2022-10-28\( \frac{x-2}{x+2}\frac{2 x-3}{4 x-1} \)
2022-10-28\( \frac{4 x}{x^{2}+3} \geq 1 \)
2022-10-28The tangent at any point \( P \) of the circle \( x^{2}+y^{2}=16 \) meets the tangent at a fixed...
2022-10-28Solve the following inequalities for real values of \( x \). \[ 0|x-1|3 \]
2022-10-28The tangent at any point \( P \) of the circle \( x^{2}+y^{2}=16 \) meets the tangent at a fixed...
2022-10-28Solve the following inequalities for real values of \( x \). \[ |x-3|5 \]
2022-10-28Solve the following inequalities for real values of \( x \). \[ |x-1|+|2 x-3|=|3 x-4| \]
2022-10-28The locus of the orthocenter of the triangle formed by the lines \( (1+p) x-p y+p(1+p)=0,(1+q) x...
2022-10-28The normal at a point \( P \) on the ellipse \( x^{2}+4 y^{2}=16 \) meets the \( x \)-axis at \(...
2022-10-28For \( abc0 \), the distance between \( (1,1) \) and the point of intersection of the lines \( a...
2022-10-28If \( f \) is continuous function and \[ F(x)=\int_{0}^{x}\left((2 t+3) \cdot \int_{t}^{2} f(u) ...
2022-10-28Match the following lists: Codes \( \begin{array}{lllll} & \mathrm{a} & \mathrm{b} & \mathrm{c} ...
2022-10-28If \( \left|\begin{array}{lll}(\beta+\gamma-\alpha-\delta)^{4} & (\beta+\gamma-\alpha-\delta)^{2...
2022-10-28For \( 0\phi\pi / 2 \), if \( x=\sum_{n=0}^{\infty} \cos ^{2 n} \phi, y=\sum_{n=0}^{\infty} \sin...
2022-10-28In a G.P., the sum of the first and last terms is 66 , the product of the second and the last bu...
2022-10-28Afunction is defined as \( f:\left\{a_{1}, a_{2}, a_{3}, a_{4}, a_{5}, a_{6}\right\} \rightarrow...
2022-10-28\begin{tabular}{|l|c|} \hline \multicolumn{1}{|c|}{ List I } & List II \\ \hline a. In \( \trian...
2022-10-28The most stable ion is : (a) \( \left[\mathrm{Fe}\left(\mathrm{C}_{2} \mathrm{O}_{4}\right)_{3}\...
2022-10-28If \( 2^{2 \pi / \sin ^{-1} x}-2(a+2) 2^{\pi / \sin ^{-1} x}+8 a0 \) for at least one real \( x ...



Tags:
pw