A circle cuts the rectangular hyperbola \( x y=1 \) in points \( \left(x_{r}, y_{r}\right), r=1,...

Channel:
PW Solutions
Subscribers:
443,000
Published on ● Video Link: https://www.youtube.com/watch?v=hwtDOyeaH-0


Duration: 3:10
0 views
0

A circle cuts the rectangular hyperbola \( x y=1 \) in points \( \left(x_{r}, y_{r}\right), r=1,2,3,4 \) then prove that \( x_{1} x_{2} x_{3} x_{4}=y_{1} y_{2} y_{3} y_{4}=1 \).
\( P \)
W
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2022-12-02Find the equation of that diameter which bisects the chord \( 7 x+y-2=0 \) of the hyperbola \( \...
2022-12-02Let \( A \equiv(-3,4) \) and \( B \equiv(2,-1) \) be two fixed points. A point \( C \) moves suc...
2022-12-02A point \( P \) is taken on the right half of the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{...
2022-12-02The number of points outside the hyperbola \( \frac{x^{2}}{9}-\frac{y^{2}}{16}=1 \) from where t...
2022-12-02A series of hyperbola is drawn having a common transverse axis of length \( 2 a \). Then the loc...
2022-12-02Two conics \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \) and \( x^{2}=-\frac{a}{b} y \) inters...
2022-12-02The asymptotes of a hyperbola are parallel to lines \( 2 x+3 y=0 \) and \( 3 x+2 y=0 \). The hyp...
2022-12-02If the sum of the slopes of the normals from a point \( P \) to the hyperbola \( x y=c^{2} \) is...
2022-12-02The equations of the transverse and conjugate axes of a hyperbola are \( x+2 y-3=0 \) and \( 2 x...
2022-12-02If the sum of the slopes of the normal from a point \( P \) to the hyperbola \( x y=c^{2} \) is ...
2022-12-02A circle cuts the rectangular hyperbola \( x y=1 \) in points \( \left(x_{r}, y_{r}\right), r=1,...
2022-12-02The number of points on hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=3 \) from which mut...
2022-12-02Find the equation of the hyperbola which has \( 3 x-4 y+7=0 \) and \( 4 x+3 y+1=0 \) for its asy...
2022-12-02If \( S \equiv x^{2}+4 x y+3 y^{2}-4 x+2 y+1=0 \), then the value of \( \lambda \) for which \( ...
2022-12-02If the pair of straight lines \( A x^{2}+2 H x y+B y^{2}=0 \) be conjugate diameters of the hype...
2022-12-02A ray of light incident along the line \( 3 x+(5-4 \sqrt{2}) y=15 \) gets reflected from the hyp...
2022-12-02If \( P \) is a point on the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \), whose foci...
2022-12-02A parabola is drawn with focus at one of the foci of the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^...
2022-12-02From a point on the axis of \( x \) common tangents are drawn to the parabola \( y^{2}=4 x \) an...
2022-12-02If the 4th term in the expansion of \( \left(p x+\frac{1}{x}\right)^{n}, n \in N \) \( \mathrm{P...
2022-12-02Let \( y^{2}=4 a x \) be a parabola and \( x^{2}+y^{2}+2 b x=0 \) be a circle. If parabola and c...


Tags:
pw