Determinants Te...

Points $$(1, 5), (2, 3)$$ and $$(-2, -11) $$ are ____

If $$a\neq p, b\neq q, c\neq r$$ and $$\begin{vmatrix}p & b & c\\ a & q & c\\ a & b & r\end{vmatrix}=0$$, then the value of $$\dfrac{p}{p-a}+\dfrac{q}{q-b}+\dfrac{r}{r-c}$$ is

Find the value of $$m$$ if the points $$(5, 1), (2, 3)$$ and $$(8, 2m )$$ are collinear.

If the points $$(0, 0), (1, 2)$$ and $$(x, y)$$ are collinear, then

$$\left| {\begin{array}{*{20}{c}}
  {{{\sin }^2}x}&{{{\cos }^2}x}&1 \\
  {{{\cos }^2}x}&{{{\sin }^2}x}&1 \\
  { - 10}&{12}&2
\end{array}} \right| = $$

If $$(3, 2)$$, $$\left (x, \dfrac {22}{5}\right), (8, 8)$$ lie on a line, then $$x$$ is equal to

If the points $$(0, 4), (4, 0)$$ and $$(5,  p)$$ are collinear, then value of $$p$$ is

P, Q, R are three collinear points. The coordinates of P and R are (3, 4) and (11, 10) respectively and PQ is equal to 2.5 units. Coordinates of Q are-

If the points $$(a, 0), (0, b)$$ and $$(1, 1)$$ are collinear, then $$\displaystyle \frac{1}{a} + \frac{1}{b}$$ equal to -