The distance of the origin from the centroid of the triangle whose two sides have the equations ... VIDEO
The distance of the origin from the centroid of the triangle whose two sides have the equations \( x-2 y+1=0 \) and \( 2 x-y-1=0 \) and whose orthocenter is \( \left(\frac{7}{3}, \frac{7}{3}\right) \)
(a) \( \sqrt{2} \)
(b) 2
(c) \( 2 \sqrt{2} \)
(d) 4
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-07-03 Let \( A B C \) be a triangle with \( A B=A C \). If \( D \) is mid point of \( B C \), the foot... 2023-07-03 A line cuts the \( X \)-axis at \( A(7,0) \) and the \( Y \)-axis at \( B(0,-5) \). A variable l... 2023-07-03 Statement I: Two points \( \mathrm{A}(10,0) \) and \( \mathrm{O}(0,0) \) are given and a circle ... 2023-07-03 The equation of chord of the circle \( x^{2}+y^{2}-6 x+10 y-9= \) 0 , which is bisected at \( (-... 2023-07-03 The polar of the point \( (5,-1 / 2) \) w.r.t circle \( (x-2)^{2}+y^{2}=4 \) is
(a) \( 5 x-10 y+... 2023-07-03 Equation of a circle is \( x^{2}+y^{2}-12 x-16 y+19=0 \) find radius of the circle.
(a) 5
(b) 9
... 2023-07-03 Let a triangle be bounded by the lines \( L_{1}: 2 x+5 y=10 \); \( L_{2}:-4 x+3 y=12 \) and the ... 2023-07-03 A ray of light passing through the point \( P(2,3) \) reflects on the \( x \)-axis at point \( A... 2023-07-03 Let \( A\left(\frac{3}{\sqrt{a}}, \sqrt{a}\right), a0 \), be a fixed point in the \( x y \)-plan... 2023-07-03 The distance between the two points \( A \) and \( A^{\prime} \) which lie on \( y=2 \) such tha... 2023-07-03 The distance of the origin from the centroid of the triangle whose two sides have the equations ... 2023-07-03 A line, with the slope greater than one, passes through the point \( A(4,3) \) and intersects th... 2023-07-03 Let the area of the triangle with vertices \( A(1, \alpha), B(\alpha, 0) \) and \( C(0, \alpha) ... 2023-07-03 Let \( m_{1}, m_{2} \) be the slopes of two adjacent sides of a square of side a such that
\( a^... 2023-07-03 Let \( R \) be the point \( (3,7) \) and let \( P \) and \( Q \) be two points on the line \( x+... 2023-07-03 Let \( \alpha_{1}, \alpha_{2}\left(\alpha_{1}\alpha_{2}\right) \) be the values of \( \alpha \) ... 2023-07-03 The equations of the sides \( A B, B C \) and \( C A \) of a triangle \( A B C \) are \( 2 x+y=0... 2023-07-03 A point \( P \) moves so that the sum of squares of its distances from the points \( (1,2) \) an... 2023-07-03 Let \( A(\alpha,-2), B(\alpha, 6) \) and \( C(\alpha / 4,-2) \) be vertices of a \( \triangle A ... 2023-07-03 If the locus of the mid-point of the line segment from the point \( (3,2) \) to a point on a cir... 2023-07-03 The image of the point \( (3,5) \) in the line \( x-y+1=0 \), lies on
(a) \( (x-2)^{2}+(y-4)^{2}...