HSC Science (Electronics) ११ वीं कक्षा - 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 equation of the line containing side BC.

The vertices of a triangle are A(3, 4), B(2, 0), and C(−1, 6). Find the equation of the line containing the median AD

The vertices of a triangle are A(3, 4), B(2, 0), and C(−1, 6). Find the equation of the line containing the midpoints of sides AB and BC

Find the x and y intercept of the following line:

`x/3 + y/2` = 1

Find the x and y intercept of the following line:

`(3x)/2 + (2y)/3` = 1

Find the x and y intercept of the following line:

2x − 3y + 12 = 0

Find equations of lines which contains the point A(1, 3) and the sum of whose intercepts on the coordinate axes is zero.

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

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

Find the equations of perpendicular bisectors of sides of the triangle whose vertices are P(−1, 8), Q(4, −2), and R(−5, −3)

Find the coordinates of the orthocenter of the triangle whose vertices are A(2, −2), B(1, 1), and C(−1, 0).

N(3, −4) is the foot of the perpendicular drawn from the origin to line L. Find the equation of line L.

Select the correct option from the given alternatives:

If the point (1, 1) lies on the line passing through the points (a, 0) and (0, b), then `1/"a" + 1/"b"` =

Select the correct option from the given alternatives:

The equation of the line through (1, 2), which makes equal intercepts on the axes, is

Select the correct option from the given alternatives:

If the line kx + 4y = 6 passes through the point of intersection of the two lines 2x + 3y = 4 and 3x + 4y = 5, then k =

Answer the following question:

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

Answer the following question:

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

Answer the following question:

Obtain the equation of the line containing the point (2, 3) and parallel to the X-axis.

Answer the following question:

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

Answer the following question:

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