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Solution


Q.

Given the equations y = −2x + 3 and y = 2x − 1, identify the correct descriptions about their graph and intersection:

(i) The lines intersect in the fourth quadrant.
(ii) The lines intersect in the first quadrant.
(iii) They are parallel lines.
(iv) Area of triangle formed by two lines with y-axis is 2 sq. units.
1 (i), (iii) and (iv)
 
2 (i), (ii), (iii) and (iv)
 
3 (ii) and (iii)
 
4 (ii) and (iv)
 

Ans.

(4)

Solving the system graphically, they intersect at (1, 1) in the first quadrant.
The lines are not parallel.
Area of ΔABC = (1/2) × AB × PC = (1/2) × 4 × 1 = 2 sq. units.