Q6 of 110 Page 269

Find the value of k for which the area of aABC having vertices A(2, -6), B(5, 4) and C(k, 4) is 35 sq units.

Expanding with C₃

→ 70 = (20-4k)-(8+6k)+(8+30)

→ 70= -10k+50

→ 20=-2k

→ k=-2

Find the value of k for which the
points P(5, 5), Q(k, 1) and R(11, 7) are collinear.

Find the value of k for which the
points A(1, -1), B(2, k) and C(4, 5) are collinear.

If A(-2, 0), B(0, 4) and C(0, k) be three points such that area of a ABC is 4 sq units, find the value of k.