If the tangent at point \( P(h, k) \) on the hyperbola P \( \frac{x...

Channel:
Subscribers:
453,000
Published on ● Video Link: https://www.youtube.com/watch?v=cO_uWPQQuqs



Duration: 9:27
2 views
0


If the tangent at point \( P(h, k) \) on the hyperbola
P \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \) cuts the circle \( x^{2}+y^{2}=a^{2} \) at points \( Q\left(x_{1}, y_{1}\right) \)

W and \( R\left(x_{2}, y_{2}\right) \), then the value of \( \frac{1}{y_{1}}+\frac{1}{y_{2}} \) is
(1) \( \frac{1}{k} \)
(2) \( \frac{2}{k} \)
(3) \( \frac{a b}{k} \)
(4) \( \frac{a+b}{k} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-03-21From any point on the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}...
2023-03-21The equation of a rectangular hyperbola whose asymptotes are \( x=3...
2023-03-21The combined equation of the asymptotes of the hyperbola \( 2 x^{2}...
2023-03-21A hyperbola passes through \( (2,3) \) and has asymptotes \( 3 x- \...
2023-03-21If two distinct tangents can be drawn from the point \( (\alpha, 2)...
2023-03-21If \( S=0 \) is the equation of the hyperbola \( x^{2}+4 x y+3 y^{2...
2023-03-21If the angle between the asymptotes of hyperbola \( \frac{x^{2}}{a^...
2023-03-21For a hyperbola whose center is at \( (1,2) \) and the asymptotes a...
2023-03-21Let any double ordinate \( P N P^{\prime} \) of the hyperbola \( \f...
2023-03-21The asymptotes of the hyperbola \( \frac{x^{2}}{a_{1}^{2}}-\frac{y^...
2023-03-21If the tangent at point \( P(h, k) \) on the hyperbola P \( \frac{x...
2023-03-21The portion of the asymptote of hyperbola \( \frac{x^{2}}{a^{2}}-\f...
2023-03-21Let \( P(a \sec \theta, b \tan \theta) \) and \( Q(a \sec \phi, b \...
2023-03-21If \( x=9 \) is the chord of contact of the hyperbola \( x^{2}-y^{2...
2023-03-21The ellipse \( 4 x^{2}+9 y^{2}=36 \) and the hyperbola \( a^{2} x^{...
2023-03-21The chords of contact of a point \( P \) w.r.t. a hyperbola and its...
2023-03-21The locus of the point which is such that the chord of contact of t...
2023-03-21The locus of a point, from where the tangents to the rectangular hy...
2023-03-21If a ray of light incident along the line \( 3 x+(5-4 \sqrt{2}) y \...
2023-03-21The number of points on the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{...
2023-03-21If tangents \( P Q \) and \( P R \) are drawn from a variable point...



Tags:
pw