If the normal at any point \( P \) of the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \...

Channel:
Subscribers:
449,000
Published on ● Video Link: https://www.youtube.com/watch?v=n-stukwz3-4



Duration: 11:48
2 views
0


If the normal at any point \( P \) of the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \) meets the axes in \( G \) and \( g \) respectively, then
\( |P G|:|P g| \) is equal to
(A) \( a: b \)
(B) \( a^{2}: b^{2} \)
(DV)
(C) \( b^{2}: a^{2} \)
(D) \( b: a \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2022-12-01The eccentricity of the conic represented by \( x^{2}-y^{2}-4 x+4 y+16=0 \) is (A) 1 (B) \( \sqr...
2022-12-01If \( m \) is a variable, the locus of the point of intersection of the lines \( \frac{x}{3}-\fr...
2022-12-01The product of perpendicular drawn from the two foci of the ellipse \( \frac{x^{2}}{a^{2}}+\frac...
2022-12-01If the normal at the point \( \mathrm{P}(\theta) \) to the ellipse \( \frac{x^{2}}{14}+\frac{y^{...
2022-12-01The ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \) and the straight line \( y=m x+c \) ...
2022-12-01Latus rectum of ellipse \( 4 x^{2}+9 y^{2}-8 x-36 y+4=0 \) is \( P \) (A) \( \frac{8}{3} \) (B) ...
2022-12-01The equation \( \frac{x^{2}}{10-a}+\frac{y^{2}}{4-a}=1 \) represents an ellipse if \( \mathrm{P}...
2022-12-01Tangents to the ellipse \( b^{2} x^{2}+a^{2} y^{2}=a^{2} b^{2} \) are perpendicular to each othe...
2022-12-01If \( \mathrm{p}, \mathrm{q} \) are the segments of a focal chord of an ellipse \( \mathrm{b}^{2...
2022-12-01The equation of the normal to the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \) at \( ...
2022-12-01If the normal at any point \( P \) of the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \...
2022-12-01The equation \( (10 \mathrm{x}-5)^{2}+(10 \mathrm{y}-5)^{2}=(3 \mathrm{x}+4 \mathrm{y}-1)^{2} \)...
2022-12-01The equation \( \frac{x^{2}}{1-r}-\frac{y^{2}}{1+r}=1, r1 \) represents \( \mathrm{P} \) (A) a c...
2022-12-01The 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...
2022-12-01The equation of common tangents of the curves \( x^{2}+4 y^{2}=8 \) and \( y^{2}=4 x \) are (A) ...
2022-12-01The locus of the point \( (x, y) \) satisfying the equation P \( \sqrt{(x-2)^{2}+y^{2}}+\sqrt{(x...
2022-12-01If 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 ...
2022-12-01If the normal at the end of a latus rectum of an ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{...
2022-12-01A common tangent to \( 9 x^{2}+16 y^{2}=144, y^{2}=x-4 \) and \( (x-6)^{2}+y^{2}=4 \) is (A) \( ...