InterviewSolution
Saved Bookmarks
| 1. |
Let A,B and C be three distinct points on y^(2) = 8x such that normals at these points are concurrent at P. The slope of AB is 2 and abscissa of centroid of Delta ABC is (4)/(3). Which of the following is (are) correct? |
|
Answer» AREA of `DeltaABC` is 8 sq. units Slope of `AB = 2 RARR t_(1) + t_(2) =1` and `t_(1) + t_(2) + t_(3) =0` So, `t_(3) =-1` Also, `(2(t_(1)^(2)+t_(2)^(2)+t_(3)^(2)))/(3) =(4)/(3) rArr t_(1)^(2)+t_(2)^(2) =1` `rArr t_(1) =1, t_(2) =0` `A = (2,4), B =(0,0)` and `C = (2,-4)` HENCE `P = (6,0)` |
|