Consider two lines \( L_{1} \equiv x-y=0 \) and \( L_{2} \equiv x+y=0 \) and a moving point \( P....

Channel:
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=v8kruh95qxs



Duration: 10:29
0 views
0


Consider two lines \( L_{1} \equiv x-y=0 \) and \( L_{2} \equiv x+y=0 \)
\( \mathrm{P} \)
and a moving point \( P(x, y) \). Let \( d\left(P, L_{\mathrm{i}}\right), i=1,2 \) represents the perpendicular distance of the point \( P \) from \( L_{\mathrm{i}} \). If point \( P \) moves in certain region \( R \) in such a way that \( \sum_{i=1}^{2} d\left(P, L_{i}\right) \in[2,4] \). Let the area of region \( R \) is \( A \), then then \( \frac{A}{4} \) is equals.


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




Other Videos By PW Solutions


2024-01-22The value of ' \( k \) ' for which the points \( (3 k, 4 k),(1,0) \) \( (0,1) \) and \( (0,0) \)....
2024-01-22The equation of circles with center \( (4,3) \) and touching the circle \( x^{2}+y^{2}=1 \), is ....
2024-01-22\begin{tabular}{|l|l|l|l|} \hline \multicolumn{2}{|c|}{ Column-I } & \multicolumn{2}{c|}{ Column....
2024-01-22The image of the circle \( x^{2}+y^{2}-6 x+4 y-12=0 \) in the line \( 3 x+2 y+8=0 \), is....
2024-01-22If \( M \) is the foot of the perpendicular from a point \( P \) on a parabola \( y^{2}=4 a x \)....
2024-01-22If chord \( B C \) subtends right angle at the vertex ' \( A \) ' of the parabola \( y^{2}=4 x \....
2024-01-22Let \( D(0, \sqrt{3}), E(1,0), F(-1,0) \) be the feet of perpendiculars dropped form vertices \(....
2024-01-22The value(s) of \( p \) such that the vertex of \( y=x^{2}+2 p x+13 \) is 4 units above the \( x....
2024-01-22An equilateral triangle is inscribed in the parabola \( y^{2}=4 a x \) such that one vertex of t....
2024-01-22The locus of the middle points of chords of a parabola \( y^{2}=4 a x \) which subtends right an....
2024-01-22Consider two lines \( L_{1} \equiv x-y=0 \) and \( L_{2} \equiv x+y=0 \) and a moving point \( P....
2024-01-22A circle passing through the vertex \( C \) of a rectangle \( A B C D \) and touching its sides ....
2024-01-22If the intercepts of the variable circle on the \( x \)-axis and \( y \)-axis are 3 units and 7 ....
2024-01-22The locus of midpoint of the chords of the circle \( x^{2}+y^{2}=r^{2} \) which subtends a right....
2024-01-22The equations of circles touches the \( x \)-axis at the point \( (3,0) \) and cutting the \( y ....
2024-01-22The number of possible circles which touches both the axes and the straight line \( 2 x+5 y=10 \....
2024-01-22If the lines \( 2 x-y=5 \) and \( x+y=4 \) or diameters of the circle which passes through the p....
2024-01-22The slope of one of lines given by \( a x^{2}+2 h x y+b y^{2}= \) 0 be the square of the slope o....
2024-01-22The base of an isosceles triangle is the intercept made by the line \( x+2 y=4 \) with the coord....
2024-01-22The number of integral points inside the triangle made by the line \( 3 x+4 y-12=0 \) with the c....
2024-01-22Two sides of a rhombus \( A B C D \) are parallel to lines \( y= \) \( x+2 \) and \( y=7 x+3 \).....