PDF chapter test TRY NOW

1. Vertices of given triangles are taken in order and their areas are provided below. In each of the following find the value of '\(p\)':
 
S.No
Vertices
Area(\(sq. \ units\))
Value of '\(p\)'
(i)
\((0,0)\), \((p,8)\), \((6,2)\)
\(20\)
(ii)
\((p,p)\), \((5,6)\), \((5,-2)\)
\(32\)
 
2. In each of the following, find the value of '\(a\)' for which the given points are collinear.
 
(i)\((2,3)\), \((4,a)\), \((6, -3)\)
(ii)\((a, 2 - 2a)\), \((-a + 1, 2a)\), \((-4 - a, 6 - 2a\) or ii
 
[Note: For the last problem enter integer answer value followed by fraction value.]