The asympote of the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \) from with any tang...

Channel:
PW Solutions
Subscribers:
449,000
Published on ● Video Link: https://www.youtube.com/watch?v=yuG_1ogh8s8


Duration: 3:29
4 views
0

The asympote of the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \) from with any tangent to the hyperbola a triangle whose area is \( a^{2} \tan \lambda \) in magnitude then its eccentricity is:
(a) \( \sec \lambda \)
(b) \( \operatorname{cosec} \lambda \)
(c) \( \sec ^{2} \lambda \)
(d) \( \operatorname{cosec}^{2} \lambda \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2023-07-03The equation of the chord joining two points \( \left(x_{1}, y_{1}\right) \) and \( \left(x_{2}\...
2023-07-03If the normal to the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \) at any point \( P...
2023-07-03A normal to the hyperbola \( \frac{x^{2}}{4}-\frac{y^{2}}{1}=1 \) has equal intercepts on the po...
2023-07-03The number of points on the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=3 \) from which...
2023-07-03The equation of a common tangent with positive slope to the circle \( x^{2}+y^{2}-8 x=0 \) as we...
2023-07-03The locus of a point whose chord of contact with respect to the circle \( x^{2}+y^{2}=4 \) is a ...
2023-07-03If a variable line has its intercepts on the coordinate axis \( e \) and \( e^{\prime} \) where ...
2023-07-03Let \( L L^{\prime} \) be the latus rectum through the focus of the hyperbola \( \frac{x^{2}}{a^...
2023-07-03If the values of \( m \) for which the line \( y=m x+2 \sqrt{5} \) touches the hyperbola \( 16 x...
2023-07-03The equations of the transverse and conjugate axis of a hyperbola are, respectively, \( x+2 y-3=...
2023-07-03The asympote of the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \) from with any tang...
2023-07-03The equation of the transverse axis of the hyperbola \( (x-3)^{2}+(y+1)^{2}=(4 x+3 y)^{2} \) is:...
2023-07-03The locus of the middle points of chords of hyperbola \( 3 x^{2} \) \( -2 y^{2}+4 x-6 y=0 \) par...
2023-07-03A hyperbola passes through \( (2,3) \) and has asymptotes \( 3 x- \) \( 4 y+5=0 \) and \( 12 x+5...
2023-07-03If the conics \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1(ab) \) and \( x^{2}-y^{2}=c^{2} \) cu...
2023-07-03Asymptotes of the hyperbola \( x y=4 x+3 y \) are (a) \( x=3, y=4 \) (b) \( x=4, y=3 \) (c) \( x...
2023-07-03Equation of a rectangular hyperbola whose asymptotes are \( x=3 \) and \( y=5 \) and passing thr...
2023-07-03Which of the following equations in parametric form can not represent a hyperbola, where \( t \...
2023-07-03The equation of the chord of contact of tangents from \( (2,3) \) to the rectangular hyperbola \...
2023-07-03The length of the transverse axis of the rectangular hyperbola \( x y=18 \) is: (a) 6 (b) 12 (c)...
2023-07-03If the chords of contact of tangents from two points \( \left(x_{1}, y_{1}\right) \) and \( \lef...