Find the value of t for which the points (1,-1),(3,-3) and (t,2) lie on the same line (using determinants).

Find the values of k for which the points (2k ,3k),(1,0),(0,1),a n d(0,0) lie on a circle.

Find the set of positive values of b for which the origin and the point (1, 1) lie on the same side of the straight line, a^2x+ab y+1=0,AAa in Rdot ,b>0

Find the set of positive values of b for which the origin and the point (1, 1) lie on the same side of the straight line, a^2x+ab y+1=0,AAa in Rdot

Find the value of 'a' for which the following points A (a, 3), B (2, 1) and C (5, a) are collinear. Hence, find the equation of the line.

Find the value of the products: (3m-2n)(2m-3n)a t\ m=1,\ n=-1

Find the range of values of t for which 2sint=(1-2x+5x^2)/(3x^2-2x-1)

find the range of values of t for which 2sint=(1-2x+5x^2)/(3x^2-2x-1)

Find the locus of the point (t^2-t+1,t^2+t+1),t in Rdot

(i) Find the value of the determinant |[2,3],[(1)/(2),-(1)/(2)]| .

Find the locus of the point (t^2-t+1,t^2+t+1),t in R .