The normal at a variable point \( P \) on the ellipse \( \mathrm{P}...

Channel:
PW Solutions
Subscribers:
458,000
Published on ● Video Link: https://www.youtube.com/watch?v=vruyd3SntY0


Duration: 7:51
0 views
0

The normal at a variable point \( P \) on the ellipse
\( \mathrm{P}^{12 i} \) \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \) of eccentricity \( e \) meets the axes of the

W
ellipse at \( Q \) and \( R \). Then the locus of the midpoint of \( Q R \) is a conic with eccentricity \( e^{\prime} \) such that
(1) \( e^{\prime} \) is independent of \( e \)
(2) \( e^{\prime}=1 \)
(3) \( e^{\prime}=e \)
(4) \( e^{\prime}=1 / e \)
šŸ“²PW App Link - https://bit.ly/YTAI_PWAP
šŸŒPW Website - https://www.pw.live



Other Videos By PW Solutions


2023-04-07If the normal to the ellipse \( \frac{x^{2}}{25}+\frac{y^{2}}{1}=1 ...
2023-04-07The point, which is at the shortest distance from the P line \( x+y...
2023-04-07For what value of \( \lambda \) does the line \( y=x+\lambda \) tou...
2023-04-07If tangents \( P Q \) and \( P R \) are drawn from a point on \( \m...
2023-04-07Two tangents can be drawn from any external point on \( \mathrm{P} ...
2023-04-07If a pair of variable straight lines \( x^{2}+4 y^{2}+a x y=0 \) \(...
2023-04-07At a point \( P \) on the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2...
2023-04-07Paragraph Questions: \( \mathrm{P}^{n} \) An ellipse whose distance...
2023-04-07The length of the common chord of the ellipse \( \mathrm{P}^{142} \...
2023-04-07Let from a point \( P(h, k) \) chord of contacts are \( \mathrm{P}^...
2023-04-07The normal at a variable point \( P \) on the ellipse \( \mathrm{P}...
2023-04-07Tangents are drawn from the point \( (4,2) \) to the \( \mathrm{P}^...
2023-04-07If tangents are drawn to the ellipse \( x^{2}+2 y^{2}=2 \), then \(...
2023-04-07The line \( 2 x+y=3 \) intersects the ellipse \( 4 x^{2}+y^{2}=5 \)...
2023-04-07The number of distinct normal lines that can be \( \mathrm{P}^{13} ...
2023-04-07Let \( P_{i} \) and \( P_{i}^{\prime} \) be the feet of the perpend...
2023-04-07\( P \) and \( Q \) are points on the ellipse \( \frac{x^{2}}{a^{2}...
2023-04-07The number of points on the ellipse \( \frac{x^{2}}{50}+\frac{y^{2}...
2023-04-07The locus of the point of intersection of the tangent \( \mathrm{P}...
2023-04-07If the eccentric angles of two points \( P \) and \( Q \) on the \(...
2023-04-07The ellipse \( \frac{x^{2}}{25}+\frac{y^{2}}{16}=1 \) and the hyper...


Tags:
pw