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.

Solution