HSC Commerce (English Medium) ११ वीं कक्षा - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

The fifth term of a G. P. is x, eighth term of the G. P. is y and eleventh term of the G. P. is z. Verify whether y² = xz.

For a sequence, if S_n = 2 (3ⁿ – 1), find the n^th term, hence show that the sequence is a G.P.

In a G.P., the fourth term is 48 and the eighth term is 768. Find the tenth term.

Find 2 + 22 + 222 + 2222 + … upto n terms.

Find the n^th term of the sequence 0.6, 0.66, 0.666, 0.6666, …

Find the slope of the following lines which pass through the point: (2, – 1), (4, 3)

Find the slope of the following lines which pass through the point: (– 2, 3), (5, 7)

Find the slope of the following lines which pass through the point: (2, 3), (2, – 1)

Find the slope of the following lines which pass through the point: (7, 1), (– 3, 1)

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)