Activity Questions 2.12
Multiple Select Questions
Question 1: If the general form of a line is 3x + 2y - 5 = 0, then choose the correct set of options.
Options:
The slope of the given line is -3/2
The x-intercept is 3
The point where the given line cuts the X-axis is (5/3, 0)
The y-intercept is 2
The point where the given line cuts the Y-axis is (0, 5/2)
Solution
Question 2: Given the point (-2, 1) and the line -3x + 4y - 7 = 0, choose the correct set of options.
Options:
The distance between (-2, 1) and the line -3x + 4y - 7 = 0 is 2
The slope of the given line is 5
The distance between (-2, 1) and the line -3x + 4y - 7 = 0 is 3/5
The y-intercept of the given line is 7/4
Solution
Numerical Answer Type
Question 3: Find the distance between the two parallel lines 4x + 3y + 5 = 0 and 8x + 6y - 30 = 0
Solution
Question 4: If the distance between the point (-1, 3) and the line 4x + c = 0 is 3/2, then find the value of c where c is a positive number.
Solution
Question 5: The coordinates of the vertices of a triangle are (0, 3), (0, 0), (2, 0). Find the area of the triangle.