If the normal at the end of a latus rectum of an ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{... VIDEO
If the normal at the end of a latus rectum of an ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \) passes through one extremity of the minor axis, then the eccentricity of the ellipse is given by the equationhttps://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 2022-12-01 The equation of the normal to the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \) at \( ... 2022-12-01 If the normal at any point \( P \) of the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \... 2022-12-01 The equation \( (10 \mathrm{x}-5)^{2}+(10 \mathrm{y}-5)^{2}=(3 \mathrm{x}+4 \mathrm{y}-1)^{2} \)... 2022-12-01 The equation \( \frac{x^{2}}{1-r}-\frac{y^{2}}{1+r}=1, r1 \) represents
\( \mathrm{P} \)
(A) a c... 2022-12-01 The centre of the ellipse \( 25 x^{2}+25 y^{2}-14 x y-36 x-36 y=108 \), is
(A) \( (0,0 \)
(B) \(... 2022-12-01 \( S \) and \( T \) are the foci of an ellipse and \( B \) is an end of the minor axis. If STB i... 2022-12-01 The equation of common tangents of the curves \( x^{2}+4 y^{2}=8 \) and \( y^{2}=4 x \) are
(A) ... 2022-12-01 The locus of the point \( (x, y) \) satisfying the equation
P \( \sqrt{(x-2)^{2}+y^{2}}+\sqrt{(x... 2022-12-01 If a tangent of slope \( m \) at a point of the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^... 2022-12-01 \( P \) is a variable point on the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \) with ... 2022-12-01 If the normal at the end of a latus rectum of an ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{... 2022-12-01 A common tangent to \( 9 x^{2}+16 y^{2}=144, y^{2}=x-4 \) and \( (x-6)^{2}+y^{2}=4 \) is
(A) \( ... 2022-12-01 The equation of the chord of contact of tangents from \( (2,3) \) to the rectangular hyperbola \... 2022-12-01 Normals drawn to the ellipse \( \frac{\mathrm{x}^{2}}{\mathrm{a}^{2}}+\frac{\mathrm{y}^{2}}{\mat... 2022-12-01 The equation of the hyperbola in a standard form whose eccentricity is \( \sqrt{2} \) and the di... 2022-12-01 The locus of a variable point whose distance from the point \( (5,2) \) is \( \frac{1}{4} \) tim... 2022-12-01 If \( F_{1} \equiv(0,0), \mathrm{F}_{2} \equiv(3,4) \) and \( \left|\mathrm{PF}_{1}\right|+\left... 2022-12-01 The equation of the ellipse with \( e=\frac{3}{4} \), foci on \( y \)-axis, centre of the origin... 2022-12-01 The normal drawn to the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \) at the extremity... 2022-12-01 The distance between the directrices of the ellipse \( \frac{x^{2}}{4}+\frac{y^{2}}{9}=1 \) is
\... 2022-12-01 The line \( y=x+p \) (p is parameter) cuts the ellipse \( \frac{\mathrm{x}^{2}}{\mathrm{a}^{2}}+...
0