If \( P \) is a variable point on the parabola \( y^{2}=4 a x \) whose focus is \( S \), then th....

Channel:
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=Vug-7YKAd-4



Duration: 2:57
3 views
0


If \( P \) is a variable point on the parabola \( y^{2}=4 a x \) whose focus is \( S \), then the locus of the midpoint of
\( \mathrm{P} \)
the segment \( \overline{S P} \) is in turn a parabola whose
W.
directrix is
(1) \( x=-\frac{a}{2} \)
(2) \( x=-a \)
(3) \( x=0 \)
(4) \( x=a \)


📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2024-01-23\( P Q \) is a chord of the parabola \( y^{2}=4 x \) whose perpendicular bisector meets the axis....
2024-01-23Two equal parabolas have the same focus and their axes are at right angles. A normal to one para....
2024-01-23The ordinates of the points \( P \) and \( Q \) of a parabola \( y^{2}=4 x \) are in the ratio \....
2024-01-23If \( P N P^{\prime} \) is a double ordinate of the parabola \( y^{2}=4 x \), then the locus of ....
2024-01-23The angle between the tangents drawn from the point \( (1,4) \) to the parabola \( y^{2}=4 x \) ....
2024-01-23Match the following columns: \begin{tabular}{|l|l|l|l|} \hline \multicolumn{2}{|c|}{ Column-I } ....
2024-01-23If \( P, \mathrm{Q} \) and \( R \) are three points on the parabola \( y^{2}=4 a x \) at which t....
2024-01-23Tangent to the parabola \( y^{2}=-4 b x \) meets the parabola \( y^{2}=4 a x \) in \( P \) and \....
2024-01-23The chords of a parabola \( y^{2}=6 x \) are passing through the point \( (9,5) \). Then the mid....
2024-01-23The circle \( x^{2}+y^{2}=5 \) meets the parabola \( y^{2}=4 x \) at \( P \) and \( Q \). Then t....
2024-01-23If \( P \) is a variable point on the parabola \( y^{2}=4 a x \) whose focus is \( S \), then th....
2024-01-23Match the following columns: \begin{tabular}{|l|l|l|l|} \hline \multicolumn{2}{|c|}{ Column-I } ....
2024-01-23The equation of the common tangent touching the circle \( (x-3)^{2}+y^{2}=9 \) and the parabola ....
2024-01-23A focal chord of the parabola \( y^{2}=16 x \) touches the circle \( (x-6)^{2}+y^{2}=2 \). Then ....
2024-01-23From the point \( (15,12) \), three normal are drawn to the parabola \( y^{2}=4 x \). The centro....
2024-01-23If the line \( y=2-x \) is tangent to the circle \( S \) at the point \( P(1,1) \) and circle \(....
2024-01-23The line \( x-y-1=0 \) meets the parabola \( y^{2}=4 x \) at \( A \) and \( B \). Normals at \( ....
2024-01-23If \( \left(x_{1}, y_{1}\right) \) is the point of contact of the tangent parallel to the line \....
2024-01-23If the line \( x-1=0 \) is the directrix of the parabola \( y^{2}-k x+8=0 \), then on of the val....
2024-01-23Let \( S=\left\{(x, y) \mid x, y \in R, x^{2}+y^{2}-10 x+16=0\right\} \). The largest value of \....
2024-01-23The radical centre of the three circles is at the origin. The equations of the two of the circle....