Let a triangle be bounded by the lines \( L_{1}: 2 x+5 y=10 \); \( L_{2}:-4 x+3 y=12 \) and the ...

Channel:
Subscribers:
443,000
Published on ● Video Link: https://www.youtube.com/watch?v=18rdEjTuTDw



Duration: 15:17
0 views
0


Let a triangle be bounded by the lines \( L_{1}: 2 x+5 y=10 \); \( L_{2}:-4 x+3 y=12 \) and the line \( \mathrm{L}_{3} \), which passes through the point \( P(2,3) \), intersects \( L_{2} \) at \( A \) and \( L_{1} \) at \( B \). If the point \( P \) divides the line-segment \( A B \), internally in the ratio \( 1: 3 \), then the area of the triangle is equal to :
(a) \( \frac{110}{13} \)
(b) \( \frac{132}{13} \)
(c) \( \frac{142}{13} \)
(d) \( \frac{151}{13} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-07-03The circle of radii 1,2 and 3 units respectively touch each other externally in the plane. The c...
2023-07-03The right-angled triangle has two circles touching its sides as shown. If the angle at \( \mathr...
2023-07-03A line cuts the \( X \)-axis at \( A(7,0) \) and the \( Y \)-axis at \( B(0,-5) \). A variable l...
2023-07-03If \( p \) and \( q \) be the longest and the shortest distances respectively of the point \( (-...
2023-07-03Let the area of the triangle with vertices \( A(1, \alpha), B(\alpha, 0) \) and \( C(0, \alpha) ...
2023-07-03Let \( S \) be the circle in xy-plane which touches the x-axis at point \( A \), the \( \mathrm{...
2023-07-03Let \( A B C \) be a triangle with \( A B=A C \). If \( D \) is mid point of \( B C \), the foot...
2023-07-03The equation of chord of the circle \( x^{2}+y^{2}-6 x+10 y-9= \) 0 , which is bisected at \( (-...
2023-07-03Consider the lines \( L_{1} \) and \( L_{2} \) defined by \[ L_{1} ; x \sqrt{2}+y-1=0 \text { an...
2023-07-03The polar of the point \( (5,-1 / 2) \) w.r.t circle \( (x-2)^{2}+y^{2}=4 \) is (a) \( 5 x-10 y+...
2023-07-03Let a triangle be bounded by the lines \( L_{1}: 2 x+5 y=10 \); \( L_{2}:-4 x+3 y=12 \) and the ...
2023-07-03Lines \( L_{1} \equiv a x+b y+c=0 \) and \( L_{2} \equiv l x+m y+n=0 \) intersect at the point \...
2023-07-03Equation of a circle is \( x^{2}+y^{2}-12 x-16 y+19=0 \) find radius of the circle. (a) 5 (b) 9 ...
2023-07-03Let \( m_{1}, m_{2} \) be the slopes of two adjacent sides of a square of side a such that \( a^...
2023-07-03Let \( A(1,1), B(-4,3), C(-2,-5) \) be vertices of a triangle \( A B C, P \) be a point on side ...
2023-07-03Let \( A\left(\frac{3}{\sqrt{a}}, \sqrt{a}\right), a0 \), be a fixed point in the \( x y \)-plan...
2023-07-03A ray of light passing through the point \( P(2,3) \) reflects on the \( x \)-axis at point \( A...
2023-07-03The distance between the two points \( A \) and \( A^{\prime} \) which lie on \( y=2 \) such tha...
2023-07-03The distance of the origin from the centroid of the triangle whose two sides have the equations ...
2023-07-03Let \( R \) be the point \( (3,7) \) and let \( P \) and \( Q \) be two points on the line \( x+...
2023-07-03The equations of the sides \( A B, B C \) and \( C A \) of a triangle \( A B C \) are \( 2 x+y=0...