The area of the triangle formed by the points `(a,a^(2)),(b,b^(2)),(c,c^(2))` in square units is

If the area of the triangle formed by the points (x ,\ 2x),\ (-2,\ 6) and (3,\ 1) is 5 square units, then x= (a) 2/3 (b) 3/5 (c) 3 (d) 5

If the area of the triangle formed by the points (2a ,b)(a+b ,2b+a), and (2b ,2a) is 2q units , then the area of the triangle whose vertices are (a+b ,a-b),(3b-a ,b+3a), and (3a-b ,3b-a) will be_____

If the area of the triangle formed by the points (2a ,b)(a+b ,2b+a), and (2b ,2a) is 2qdotu n i t s , then the area of the triangle whose vertices are (1+b ,a-b),(3b-a ,b+3a), and (3a-b ,3b-a) will be_____

Find the value of a for which the area of the triangle formed by the points A(a ,\ 2a),\ \ B(-2,\ 6) and C(3,\ 1) is 10 square units.

The area of the triangle formed by the points P(0,1), Q(0,5) and R(3,4) is (a) 16 sq. units (b) 8 sq. units (c) 4 sq. units (d) 6 sq. units

Statement I : The area of the triangle formed by the points A(100, 102), B(102, 105), C(104, 107) is same as the area formed by A'(0, 0), B' (2, 3), C'(4, 5). Statement II : The area of the triangle is constant wih respect to translation.

Statement 1 : The area of the triangle formed by the points A(1000 ,1002),B(1001 ,1004),C(1002 ,1003) is the same as the area formed by the point A^(prime)(0,0),B^(prime)(1,2),C^(prime)(2,1) Statement 2 : The area of the triangle is constant with respect to the translation of axes.

If the area of the triangle formed by the points (2a,b), (a+b, 2b+a) and (2b, 2a) be Delta_(1) and the area of the triangle whose vertices are (a+b, a-b), (3b-a, b+3a) and (3a-b, 3b-a) be Delta_(2) , then the value of Delta_(2)//Delta_(1) is

Area of the triangle formed by the points ((a+3)(a+4),\ a+3),\ ((a+2)(a+3),(a+2))a n d\ (a+1),\ (a+2),\ (a+1) is 25 a^2 b. 5^2 c. 24 a^2 d. none of these

Find the area of a triangle formed by the points A(5,\ 2),\ B(4,\ 7)\ a n d\ C(7, 4)dot