Comprehension
The vertices of a \( \triangle A B C \) lies on a rectangular hyperbola such that ... VIDEO
Comprehension
The vertices of a \( \triangle A B C \) lies on a rectangular hyperbola such that the orthocentre of the triangle is \( (3,2) \) and the asymptotes of the rectangular hyperbola are parallel to the coordinate axis. If the two perpendicular tangents of the hyperbola intersect at the point \( (1,1) \).
Equation of the rectangular hyperbola is
(a) \( x y=2 x+y-2 \)
(b) \( 2 x y=x+2 y+5 \)
(c) \( x y=x+y+1 \)
(d) None of these
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-07-03 If \( x+y=3 \) is tangent at \( (2,1) \) on hyperbola, intersects asymptotes at \( A \) and \( B... 2023-07-03 The number of normal(s) to rectangular hyperbola which can touch its conjugate is equal to 2023-07-03 Comprehension
Consider a hyperbola:
\( \frac{(x-7)^{2}}{a^{2}}-\frac{(y+3)^{2}}{b^{2}}=1 \). The... 2023-07-03 If a variable line has its intercepts on the coordinate axis \( e \) and \( e^{\prime} \) where ... 2023-07-03 Comprehension
Consider a hyperbola \( x y=4 \) and a line \( y+2 x=4, O \) is the centre of hype... 2023-07-03 The minimum value of \( (\tan A-\cos \mathrm{B})^{2}+(\cot A-\sin B)^{2} \), where \( A \) and \... 2023-07-03 Three points \( A, B \) and \( C \) are taken on rectangular hyperbola \( x y=4 \) where \( B(-2... 2023-07-03 Comprehension \( \quad \) Consider a hyperbola \( x y=4 \) and a line \( y+2 x=4, O \) is the ce... 2023-07-03 The normal at one extrimity of latus rectum (in 1st quadrant) of the ellipse \( \frac{x^{2}}{a^{... 2023-07-03 Comprehension
The vertices of a \( \triangle A B C \) lies on a rectangular hyperbola such that ... 2023-07-03 Comprehension
The vertices of a \( \triangle A B C \) lies on a rectangular hyperbola such that ... 2023-07-03 Consider the hyperbola \( H: x^{2}-y^{2}=1 \) and a circle \( \mathrm{S} \) with center \( N\lef... 2023-07-03 Comprehension
Consider a hyperbola \( x y=4 \) and a line \( y+2 x=4, O \) is the centre of hype... 2023-07-03 Comprehension
Consider a hyperbola \( x y=4 \) and a line \( y+2 x=4, O \) is the centre of hype... 2023-07-03 Comprehension
Consider a hyperbola:
\( \frac{(x-7)^{2}}{a^{2}}-\frac{(y+3)^{2}}{b^{2}}=1 \). The... 2023-07-03 Comprehension \( \quad \) Consider a hyperbola \( x y=4 \) and a line \( y+2 x=4, O \) is the ce... 2023-07-03 Which of the following pairs of ellipse and hyperbola are orthogonal
(a) \( \frac{x^{2}}{100}+\f... 2023-07-03 Locus of the point of intersection of the tangents at the points with eccentric angles \( \phi \... 2023-07-03 Let a hyperbola passes through the focus of the ellipse \( \frac{x^{2}}{25}+\frac{y^{2}}{16}=1 \... 2023-07-03 The equation \( \frac{x^{2}}{29-p}+\frac{y^{2}}{4-p}=1(p \neq 4,29) \) represents
(A) an ellipse... 2023-07-03 If a variable chord of the hyperbola \( x^{2}-y^{2}=9 \) touches the parabola \( y^{2}=12 x \), ...