The normal at \( P \) to a hyperbola of eccentricity e, intersects its transverse and conjugate ...

Channel:
PW Solutions
Subscribers:
456,000
Published on ● Video Link: https://www.youtube.com/watch?v=3BOwf92OOfA


Duration: 6:37
7 views
0

The normal at \( P \) to a hyperbola of eccentricity e, intersects its transverse and conjugate axes at \( L \) and M respectively. Show that the locus of the middle point of LM is a hyperbola of eccentricity \( \frac{e}{\sqrt{\left(e^{2}-1\right)}} \).
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2022-11-07Find the equation of a circle touching the parabola \( y^{2}=8 x \) at \( (2,4) \) and passes th...
2022-11-07Acetamide is treated separately with the following reagents. Which one of these would give methy...
2022-11-07The compound \( B \) is (A) (B) (C) (D)
2022-11-07Amongst \( \mathrm{TiF}_{6}{ }^{2-} \mathrm{CoF}_{6}{ }^{3-}, \mathrm{Cu}_{2} \mathrm{Cl}_{2} \)...
2022-11-07\( \mathrm{X}-\mathrm{NaBH}_{4} \) \( X \& Y \) respectively are (A) (B) (C) (D) both are
2022-11-07When acetic acid reacts with ketene, product formed (A) ethyl acetate (B) aceto - acetic ester (...
2022-11-07If the line \( \frac{\mathrm{x}-1}{2}=\frac{\mathrm{y}+1}{3}=\frac{\mathrm{z}-1}{4} \) and \( \f...
2022-11-07Which of the following exists in liquid state at room temperature? (A) \( \mathrm{Br} \) (B) \( ...
2022-11-07Identify the statement which is not correct regarding \( \mathrm{CuSO}_{4} \) (A) It reactions w...
2022-11-07Which of the following complexes shows ionization isomerism? (A) \( \left[\mathrm{Cr}\left(\math...
2022-11-07The normal at \( P \) to a hyperbola of eccentricity e, intersects its transverse and conjugate ...
2022-11-07An ellipse and a hyperbola have the same centre origin, the same foci and the minor-axis of the ...
2022-11-07The line \( y=x \) intersects the hyperbola \( \frac{x^{2}}{9}-\frac{y^{2}}{25}=1 \) at the poin...
2022-11-07If the normal at an end of a latus-rectum of an ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2...
2022-11-07If latus rectum of ellipse \( \frac{x^{2}}{25}+\frac{y^{2}}{16}=1 \) is double ordinate of parab...
2022-11-07If a line \( x+y=1 \) cut the parabola \( y^{2}=4 a x \) in points \( A \) and \( B \) and norma...
2022-11-07The tangent \& normal at a point on \( x^{2} / a^{2}-y^{2} / b^{2}=1 \) cut the \( y \) - axis r...
2022-11-07The normal at the point \( \mathrm{P}\left(\mathrm{ap}^{2}, 2 \mathrm{ap}\right) \) meets the pa...
2022-11-07If tangent at \( P \) and \( Q \) to the parabola \( y^{2}=4 a x \) intersect at \( R \) then pr...
2022-11-07If \( a x+b y=1 \) is a normal to the parabola \( y^{2}=4 \mathrm{Px} \), then prove that \( \ma...
2022-11-07Find equation of all possible normals to the parabola \( x^{2}=4 y \) drawn from point \( (1,2) \).


Tags:
pw