\( P \) is a point on the parabola \( y^{2}=4 x \) and \( M \) is the foot of the perpendicular ....

Channel:
Subscribers:
453,000
Published on ● Video Link: https://www.youtube.com/watch?v=lU5d8iotC2E



Duration: 3:03
1 views
0


\( P \) is a point on the parabola \( y^{2}=4 x \) and \( M \) is the foot of the perpendicular drawn from \( P \) onto the directrix.
P
\( S \) is the focus. If \( \triangle \mathrm{PSM} \) is an equilateral triangle, then
W
the area of the triangle is:
(1) \( 3 \sqrt{3} \)
(2) \( 4 \sqrt{3} \)
(3) \( 2 \sqrt{3} \)
(4) \( 8 \sqrt{3} \)


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




Other Videos By PW Solutions


2024-01-23Consider the circle \( C: x^{2}+y^{2}-6 y+4=0 \) and the parabola \( P: y^{2}=x \). Then....
2024-01-23If \( C \) is a circle described on the focal chord of the parabola \( y^{2}=4 x \) as diameter ....
2024-01-23\( P\left(2 t^{2}, 4 t\right) \) is a point on the parabola \( y^{2}=8 x \) and \( Q(h, k) \) is....
2024-01-23\( P\left(2 t^{2}, 4 t\right) \) is a point on the parabola \( y^{2}=8 x \) and \( Q(h, k) \) is....
2024-01-23Let \( A \) and \( B \) be two distinct points on the parabola \( y^{2} \) \( =4 x \). If the ax....
2024-01-23In the parabola \( y^{2}=4 x \), the tangent at the point \( P \), whose abscissa is equal to th....
2024-01-23\( P \) is a point on the directrix of the parabola \( y^{2}=4 a x \) and \( Q \) is the point o....
2024-01-23From point \( A \), common tangents are drawn to the circle \( x^{2}+y^{2}=\frac{a^{2}}{2} \) an....
2024-01-23For the parabola \( y^{2}=4 a x \), let \( T=(-a, 0) \). If \( P P^{\prime} \) is a double ordin....
2024-01-23If \( P\left(x_{1}, y_{1}\right) \) and \( Q\left(x_{2}, y_{2}\right) \) are two points on the p....
2024-01-23\( P \) is a point on the parabola \( y^{2}=4 x \) and \( M \) is the foot of the perpendicular ....
2024-01-23The tangents at \( P \) and \( Q \) on a parabola \( y^{2}=4 a x \) meet at point \( T \). If th....
2024-01-23\( P \) is one end of the latus rectum of the parabola \( y^{2}= \) \( 4 a x \). If the normal a....
2024-01-23The distance between a tangent to the parabola \( y^{2}=8 x \) and a parallel normal which is in....
2024-01-23A circle touches the parabola \( y^{2}=4 x \) at the point \( (1 \), \( 2) \) and also the direc....
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 } ....