HSC Science (Computer Science) इयत्ता ११ वी - Maharashtra State Board Question Bank Solutions

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

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