Question 143

A triangle is formed by the x axis and the lines 2x + y = 4 and x - y +1= 0 as three sides. Taking the side along x axis as its base, the corresponding altitude of the triangle is :

Solution

equation of x axis is y = 0 -------(1)

2x+y-4 = 0 -------(2)

x-y+1 = 0 -------(3)

on solving (1) (2) & (3) we will get 3 points, let those be A, B, C.

A(3, 2), B(-1, 0), C(2, 0)

since, B & C lies on X axis,

altitude = height of point A from x axis = ordinate = y value of point A = 2

so the answer is option A.

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A triangle is formed by the x­ axis and the lines 2x + y = 4 and x­ - y +1= 0 as three sides. Taking the side along x­ axis as its base, the corresponding altitude of the triangle is :