HSC Commerce: Marketing and Salesmanship 11th Standard - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

The vertices of a triangle are A(3, 4), B(2, 0) and C(1, 6). Find the equations of the line passing through the mid points of sides AB and BC.

Find the x and y-intercepts of the following line: `x/3 + y/2` = 1

Find the x and y-intercepts of the following line: `(3x)/2 + (2y)/3` = 1

Find the x and y-intercepts of the following line: 2x – 3y + 12 = 0

Find the equations of a line containing the point A(3, 4) and making equal intercepts on the co-ordinate axes.

Find the equations of the altitudes of the triangle whose vertices are A(2, 5), B(6, – 1) and C(– 4, – 3).

Find the slope, x-intercept, y-intercept of the following line : 2x + 3y – 6 = 0

Find the slope, x-intercept, y-intercept of the following line : x + 2y = 0

Write the following equation in ax + by + c = 0 form: y = 2x – 4

Write the following equation in ax + by + c = 0 form: y = 4

Write the following equation in ax + by + c = 0 form: `x/2 + y/4` = 1

Write the following equation in ax + by + c = 0 form: `x/3 = y/2`

Find the equation of the line whose x-intercept is 3 and which is perpendicular to the line 3x – y + 23 = 0.

Reduce the equation 6x + 3y + 8 = 0 into slope-intercept form. Hence, find its slope.

Verify that A(2, 7) is not a point on the line x + 2y + 2 = 0.

Find the X-intercept of the line x + 2y – 1 = 0

Find the equation of the line: having slope 5 and containing point A(– 1, 2).

Find the equation of the line: containing the point (2, 1) and having slope 13.

Find the equation of the line: through the origin which bisects the portion of the line 3x + 2y = 2 intercepted between the co-ordinate axes.

Find the equation of the line passing through the points A(–3, 0) and B(0, 4).