First slide

Equation of line in Straight lines

Question

The area of the triangle formed by the points (k, 2 – 2k), (– k + 1, 2k) and (– 4 – k, 6 – 2 k) is 70 units. For

Moderate

A

four real values of k
B

no integral value of k
C

two integral values of k
D

only one integral value of k

Solution

$|\begin{array}{ccc} k & 2 - 2 k & 1 \\ - k + 1 & 2 k & 1 \\ - 4 - k & 6 - 2 k & 1 \end{array}| = 140$
which is true for only one integral value of k.

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