Let \( P \) be a variable point on the ellipse \( \frac{x^{2}}{25}+... VIDEO
Let \( P \) be a variable point on the ellipse \( \frac{x^{2}}{25}+\frac{y^{2}}{16}=1 \)
\( \mathrm{P} \)
W with foci at \( F_{1} \& F_{2} \) :
(1) Maximum area of \( \triangle P F_{1} F_{2} \) is 12
(2) Area of \( \triangle P F_{1} F_{2} \) is maximum when \( P \) is \( (0,2) \)
(3) Co-ordinates of \( P \) is \( (4,0) \)
(4) Centre of the ellipse is \( (1,2) \)
π²PW App Link - https://bit.ly/YTAI_PWAP
πPW Website - https://www.pw.live
Other Videos By PW Solutions 2023-04-07 \( A B C D \) and \( E F G C \) are squares and the curve
P \( y=k ... 2023-04-07 A rod of length \( 12 \mathrm{~cm} \) moves with its ends always
\(... 2023-04-07 The line \( x=a t^{2} \), meets the ellipse \( \frac{x^{2}}{a^{2}}+... 2023-04-07 Consider an ellipse, whose center is at the origin
P and its major ... 2023-04-07 If the latus rectum of \( x^{2} \tan ^{2} \alpha+y^{2} \sec ^{2} \a... 2023-04-07 An ellipse, with the foci at \( (0,2) \) and \( (0,-2) \) and
P min... 2023-04-07 The position of the point \( (1,3) \) with respect to the
\( \mathr... 2023-04-07 \( S, S^{\prime} \) are the foci of an ellipse. \( B \) is an end o... 2023-04-07 If the line \( y=x-1 \) bisects two chords of the
P parabola \( y^{... 2023-04-07 The locus of mid-points of the line segments joining
\( \mathrm{P} ... 2023-04-07 Let \( P \) be a variable point on the ellipse \( \frac{x^{2}}{25}+... 2023-04-07 If the line \( x-2 y=12 \) is tangent to the ellipse
\( \mathrm{P} ... 2023-04-07 The length of the minor axis (along \( y \)-axis) of an
\( \mathrm{... 2023-04-07 The eccentricity of the ellipse
P \( (x-3)^{2}+(y-4)^{2}=\frac{y^{2... 2023-04-07 If a chord, which is not a tangent, of the parabola
P \( y^{2}=16 x... 2023-04-07 If the eccentricity of the two ellipses \( \frac{x^{2}}{169}+\frac{... 2023-04-07 If the co-ordinates of two points \( A \) and \( B \) are
\( \mathr... 2023-04-07 Let \( S \) be the focus of the parabola \( y^{2}=8 x \) and let \(... 2023-04-07 From the point \( (-1,2) \) tangent lines are drawn to the
\( \math... 2023-04-07 The line \( 4 x-7 y+10=0 \) intersects the parabola,
\( \mathrm{P} ... 2023-04-07 If the line \( y-\sqrt{3 x}+3=0 \) cuts the parabola \( y^{2}=x+2 \...