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6. Determinants
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Q3 of 110 Page 269

Find the value of k for which the
points A( 3, -2), B(k, 2) and C(8, 8) are collinear.


Since they are collinear, the area will be 0


→


Expanding with C3


→


→


→ 10k – 50=0


→ 10k=50


∴ k=5


More from this chapter

All 110 →
2

Use determinants to show that the following points are collinear.

A(3, 8), B(-4, 2) and C(10, 14)


2

Use determinants to show that the following points are collinear.

P(-2, 5), Q(-6, -7) and R(-5, -4)


4

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

5

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

Questions · 110
6. Determinants
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