(ii) Find the value of t if the point `(-t,t^2+t+1)` is equidistant from the axes.

(vi) Find the value of t if the point (2,t^2-5t-6) lie on the x-axis.

(a) Find the value of t if the point (4,t^2-4t+4) lie on the x-axis.

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

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

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

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

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

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

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