Straight Line and Pair of Straight Lines 1 Question 43

43. All points lying inside the triangle formed by the points (1,3),(5,0) and (1,2) satisfy

(1986,2M)

(a) 3x+2y0

(b) 2x+y130

(c) 2x3y120

(d) 2x+y0

Fill in the Blanks

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Solution:

  1. Since, 3x+2y0

where (1,3)(5,0) and (1,2) satisfy Eq. (i).

Option (a) is true.

Again, 2x+y130

is not satisfied by (1,3),

Option (b) is false.

2x3y120

is satisfied for all points,

Option (c) is true.

and

2x+y0

is not satisfied by (5,0),

Option (d) is false.

Thus, (a) and (c) are correct answers.



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