Tangents are drawn from the points on the line \( x-y-5=0 \) to \( x^{2}+4 y^{2}=4 \). Then all ...

Channel:
PW Solutions
Subscribers:
456,000
Published on ● Video Link: https://www.youtube.com/watch?v=4s4WxJ416Sg


Duration: 2:05
2 views
0

Tangents are drawn from the points on the line \( x-y-5=0 \) to \( x^{2}+4 y^{2}=4 \). Then all the chords of contact pass through a fixed point, find its coordinates.
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2023-07-03If \( x^{2}+4 y^{2}-4=0 \) and minimum and maximum values of \( x^{2} \) \( +y^{2}-x y \) are \(...
2023-07-03Tle tangent and normal at a point \( P \) on the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{...
2023-07-03F and \( Q \) are two points on the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \) whos...
2023-07-03If the reflection of the ellipse \( \frac{(x-4)^{2}}{16}+\frac{(y-3)^{2}}{9}=1 \) in the mirror ...
2023-07-03A point moves such that the sum of the square of the distances from two fixed straight lines int...
2023-07-03A normal chord to an ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \) make an angle of \(...
2023-07-03In an ellipse, its foci and the ends of its major axis are equally spaced. If the length of its ...
2023-07-03Prove that the locus of the point of intersection of tangents to an ellipse at two points whose ...
2023-07-03If normal at any point \( P \) to the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1, ab \...
2023-07-03Consider the parabola \( y^{2}=4 x \). Let \( S \) be the focus of the parabola. A pair of tange...
2023-07-03Tangents are drawn from the points on the line \( x-y-5=0 \) to \( x^{2}+4 y^{2}=4 \). Then all ...
2023-07-03If the normals at \( P(\theta) \) and \( Q\left(\frac{\pi}{2}+\theta\right) \) to the ellipse \(...
2023-07-03If the normal at the point \( P(\theta) \) to the ellipse \( \frac{x^{2}}{14}+\frac{y^{2}}{5}=1 ...
2023-07-03Identify correct statement(s) about conic \[ \sqrt{(x-5)^{2}+(y-7)^{2}}+\sqrt{(x+1)^{2}+(y+1)^{2...
2023-07-03If the normal at \( P\left(2, \frac{3 \sqrt{3}}{2}\right) \) meets the major axis of the ellipse...
2023-07-03If the tangent to the ellipse \( x^{2}+4 y^{2}=16 \) at \( \mathrm{P}(4 \cos \theta, 2 \sin \the...
2023-07-03Number of integral values of \( \alpha \) for which the point \( \left(7-\frac{5}{4} \alpha, \...
2023-07-03The minimum value of \( \left\{(r+5-4|\cos \theta|)^{2}+(r-3|\sin \theta|)^{2}\right\} \) \( \fo...
2023-07-03From a point \( A \) common tangents are drawn to the circle \( x^{2}+y^{2}=\frac{a^{2}}{2} \) a...
2023-07-03Equation of one of the common tangent of \( y^{2}=4 x \) and \( \frac{x^{2}}{4}+\frac{y^{2}}{3}=...
2023-07-03How many tangents to the circle \( x^{2}+y^{2}=3 \) are normal to the ellipse \( \frac{x^{2}}{9}...