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

If the X and Y-intercepts of line L are 2 and 3 respectively, then find the slope of line L.

Find the slope of the line whose inclination is 30°.

Find the slope of the line whose inclination is 45°.

A line makes intercepts 3 and 3 on coordinate axes. Find the inclination of the line.

Without using Pythagoras theorem, show that points A (4, 4), B (3, 5) and C (– 1, – 1) are the vertices of a right-angled triangle.

Find the slope of the line which makes angle of 45° with the positive direction of the Y-axis measured clockwise.

Find the value of k for which the points P(k, – 1), Q(2, 1) and R(4, 5) are collinear.

Find the slope of the line passing through the following point: (1, 2), (3, – 5)

Find the slope of the line passing through the following point: (1, 3), (5, 2)

Find the slope of the line passing through the following point: (–1, 3), (3, –1)

Find the slope of the line passing through the following point: (2, – 5), (3, – 1)

Find the slope of the line which makes an angle of 120° with the positive X-axis.

Find the slope of the line which makes intercepts 3 and – 4 on the axes.

Find the slope of the line which passes through the points A(–2, 1) and the origin.

Find the value of k: if the slope of the line passing through the points (3, 4), (5, k) is 9.

Find the value of k: the points (1, 3), (4, 1), (3, k) are collinear.

Find the value of k: the point P(1, k) lies on the line passing through the points A(2, 2) and B(3, 3).

Find the slope of the line y – x + 3 = 0.

Does point A(2, 3) lie on the line 3x + 2y – 6 = 0? Give reason.

Obtain the equation of the line containing the point: (2, 4) and perpendicular to the Y−axis.