Let the centroid of an equilateral triangle \( A B C \) be at the origin. Let one of the sides o... VIDEO
Let the centroid of an equilateral triangle \( A B C \) be at the origin. Let one of the sides of the equilateral triangle be along the straight line \( x+y=3 \). If \( R \) and \( r \) be the radius of circumcircle and incircle respectively of \( \triangle A B C \), then \( (R+r) \) is equal to
(a) \( \frac{9}{\sqrt{2}} \)
(b) \( 7 \sqrt{2} \)
(c) \( 2 \sqrt{2} \)
(d) \( 3 \sqrt{2} \)
š²PW App Link - https://bit.ly/YTAI_PWAP
šPW Website - https://www.pw.live
Other Videos By PW Solutions 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 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 Let \( \alpha_{1}, \alpha_{2}\left(\alpha_{1}\alpha_{2}\right) \) be the values of \( \alpha \) ... 2023-07-03 A line, with the slope greater than one, passes through the point \( A(4,3) \) and intersects th... 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}... 2023-07-03 The intersection of three lines \( x-y=0, x+2 y=3 \) and \( 2 x+ \) \( y=6 \) is a
(a) Equilater... 2023-07-03 Let the tangent to the circle \( x^{2}+y^{2}=25 \) at the point \( P(3,4) \) meet \( x \)-axis a... 2023-07-03 Let the centroid of an equilateral triangle \( A B C \) be at the origin. Let one of the sides o... 2023-07-03 The equation of one of the straight lines which passes through the point \( (1,3) \) and makes a... 2023-07-03 A man is walking on a straight line. The arithmetic mean of the reciprocals of the intercepts of... 2023-07-03 Let \( A(-1,1), B(3,4) \) and \( C(2,0) \) be given three a points.
A line \( y=m x, m0 \), inte... 2023-07-03 In a triangle \( P Q R \), the co-ordinates of the point \( P \) and \( Q \) are \( (-2,4) \) an... 2023-07-03 Through the origin \( O \) a straight line is drawn to cut the lines \( y=m_{1} x+C_{1} \) and \... 2023-07-03 Straight lines \( 3 x+4 y=5 \) and \( 4 x-3 y=15 \) intersect at the point \( A \). Points \( B ... 2023-07-03 The number of integer values of \( m \) so that the abscissa of point of intersection of lines \... 2023-07-03 The vertices of a triangle are \( \left[a t_{1} t_{2}, a\left(t_{1}+t_{2}\right)\right]\left[a t... 2023-07-03 Find the acute angle between two straight lines passing through the point \( M(-6,-8) \) and the... 2023-07-03 A point moves so that the distance between the feet of the perpendiculars from it on the lines \...