HSC Science (Electronics) इयत्ता ११ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Answer the following question:

Without expanding determinant show that

`|(l, "m", "n"),("e", "d", "f"),("u", "v", "w")| = |("n", "f", "w"),(l, "e", "u"),("m", "d", "v")|`

Answer the following question:

Without expanding determinant show that

`|(0, "a", "b"),(-"a", 0, "c"),(-"b", -"c", 0)|` = 0

Answer the following question:

If `|("a", 1, 1),(1, "b", 1),(1, 1, "c")|` = 0 then show that `1/(1 - "a") + 1/(1 - "b") + 1/(1 - "c")` = 1

Write the equation of the line :

parallel to the X−axis and at a distance of 5 unit form it and above it

Write the equation of the line :

parallel to the Y−axis and at a distance of 5 unit form it and to the left of it

Write the equation of the line :

parallel to the X-axis and at a distance of 4 unit form the point (−2, 3)

Obtain the equation of the line :

parallel to the X−axis and making an intercept of 3 unit on the Y−axis

Obtain the equation of the line :

parallel to the Y−axis and making an intercept of 4 unit on the X−axis

Obtain the equation of the line containing the point :

A(2, – 3) and parallel to the Y−axis

Obtain the equation of the line containing the point :

B(4, –3) and parallel to the X-axis

Find the equation of the line passing through the points A(2, 0), and B(3, 4)

Find the equation of the line passing through the points P(2, 1) and Q(2, –1)

Find the equation of the line containing the origin and having inclination 60°

Find the equation of the line passing through the origin and parallel to AB, where A is (2, 4) and B is (1, 7)

Find the equation of the line having slope `1/2` and containing the point (3, −2).

Find the equation of the line containing point A(3, 5) and having slope `2/3`.

Find the equation of the line containing point A(4, 3) and having inclination 120°

Find the equation of the line passing through the origin and which bisects the portion of the line 3x + y = 6 intercepted between the co-ordinate axes.

Line y = mx + c passes through points A(2, 1) and B(3, 2). Determine m and c.

Find the equation of the line having inclination 135° and making X-intercept 7