Chapter 4 Determinants EXERCISE 4.2

EXERCISE 4.2

  1. Find area of the triangle with vertices at the point given in each of the following:

(i) (1,0), (6, 0), (4, 3)

(iii) (-2, -3), (3, 2), (-1, -8)

(ii) (2, 7), (1, 1), (10, 8)

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  1. Show that points A (a, b + c), B (b, c + a), C (c, a + b) are collinear.
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  1. Find values of k if area of triangle is 4 sq. units and vertices are

(i) (k, 0), (4, 0), (0, 2)

(ii) (-2, 0), (0, 4), (0, k)

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  1. (i) Find equation of line joining (1, 2) and (3, 6) using determinants.

(ii) Find equation of line joining (3, 1) and (9, 3) using determinants.

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  1. If area of triangle is 35 sq units with vertices (2,6), (5, 4) and (k, 4). Then k is

(A) 12

(B) -2

(C) -12,-2

(D) 12,-2

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