Let \( P(a \sec \theta, b \tan \theta) \) and \( Q(a \sec \phi, b \tan \phi) \), where \( \theta... VIDEO
Let \( P(a \sec \theta, b \tan \theta) \) and \( Q(a \sec \phi, b \tan \phi) \), where \( \theta+\phi=\frac{\pi}{2} \), be two points on the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \). If \( (h, k) \) is the point of intersection of the normals at \( P \) and \( Q \), then \( k \) is equal tohttps://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 2023-07-03 Let \( \lambda \in R \), the origin and the non-real roots of \( 2 z^{2}+2 z+\lambda \) \( =0 \)... 2023-07-03 Interpret the following locii in \( \mathrm{z} \in \mathrm{C} .1|\mathrm{z}-2 \mathrm{i}|3 \)
(a... 2023-07-03 For the hyperbola \( H: x^{2}-y^{2}=1 \) and the ellipse
\( E: \frac{x^{2}}{a^{2}}+\frac{y^{2}}{... 2023-07-03 If centre of the square \( A B C D \) is the origin. Denote by \( z \) the vertex \( A \). Then ... 2023-07-03 A common tangent \( T \) to the curves \( C_{1}: \frac{x^{2}}{4}+\frac{y^{2}}{9}=1 \) and \( C_{... 2023-07-03 (i) Let \( z_{1}=1+i \) and \( z_{2}=-1- \) i. Find \( z_{3} \in C \) such that triangle \( z_{1... 2023-07-03 If the points \( A(z), B(-z), C(1-z) \) are the vertices of an equilateral triangle \( \mathrm{A... 2023-07-03 \( P(z) \) is the point moving in the Argands plane satisfying arg \( (z-1)-\arg (z+i)=\pi \) th... 2023-07-03 The locus of \( z \), for \( \arg z=-\pi / 3 \) ?
(a) same as the locus of \( z \) for \( \arg z... 2023-07-03 Write equation of line passing through \( z_{1}(-2-i) \) and \( z_{2}(3+i) \)
(a) \( z=(2+i)+k(5... 2023-07-03 Let \( P(a \sec \theta, b \tan \theta) \) and \( Q(a \sec \phi, b \tan \phi) \), where \( \theta... 2023-07-03 An ellipse and a hyperbola have their principal axes along the coordinate axes and have a common... 2023-07-03 Find the equation of circle in argument form whose end points of diameter are given by \( (2-i) ... 2023-07-03 Each of the four inequalities given below defines a region in the \( x y \) plane. One of these ... 2023-07-03 Write equation of straight line which makes angle \( 60^{\circ} \) and passing through point \( ... 2023-07-03 Let the foci of the ellipe \( \frac{x^{2}}{16}+\frac{y^{2}}{7}=1 \) and the hyperbola \( \frac{x... 2023-07-03 Comprehension
The vertices of a \( \triangle A B C \) lies on a rectangular hyperbola such that ... 2023-07-03 If the line \( x-1=0 \), is a directrix of the hyperbola \( k x^{2}-y^{2} \) \( =6 \), then the ... 2023-07-03 Tangent are drawn from any point on the hyperbola \( x^{2} / 9- \) \( y^{2} / 4=1 \) to the circ... 2023-07-03 If \( x+y=3 \) is tangent at \( (2,1) \) on hyperbola, intersects asymptotes at \( A \) and \( B... 2023-07-03 A common tangent \( T \) to the curves \( C_{1}: \frac{x^{2}}{4}+\frac{y^{2}}{9}=1 \) and \( C_{...
0