125Directions (Q. Nos. 10-11) A triangular plane ABC withcentroid (1,

1.	125Directions (Q. Nos. 10-11) A triangular plane ABC withcentroid (1, 2, 3) cuts the coordinate axes at A, B, C,respectively.10. What are the intercepts made by the plane ABCon the axes?(a) 3, 6, 9(b) 1, 2, 3(c) 1, 4, 9(d) 2, 4, 6> (a) We have, 1
Answer» centroid for x-axis is given by (x1+x2+x3)/3 and here (x1+x2+x3)/3 = 1.... => (x1+0+0)/3 = 1...... ( x2 and x3 are 0 as the co-ordinate cuts at y and z axis ) => x1 = 3 similarly , y2 = 23 = 6 and z3 = 33 = 9 the intrrcepts are (x1,y1,z1) = (3,6,9)

125Directions (Q. Nos. 10-11) A triangular plane ABC withcentroid (1, 2, 3) cuts the coordinate axes at A, B, C,respectively.10. What are the intercepts made by the plane ABCon the axes?(a) 3, 6, 9(b) 1, 2, 3(c) 1, 4, 9(d) 2, 4, 6> (a) We have, 1

Answer»

centroid for x-axis is given by (x1+x2+x3)/3

and here (x1+x2+x3)/3 = 1....

=> (x1+0+0)/3 = 1...... ( x2 and x3 are 0 as the co-ordinate cuts at y and z axis )

=> x1 = 3

similarly , y2 = 2*3 = 6

and z3 = 3*3 = 9

the intrrcepts are (x1,y1,z1) = (3,6,9)