Advertisements
Advertisements
प्रश्न
Find the equation of the line passing through the origin and parallel to AB, where A is (2, 4) and B is (1, 7)
उत्तर
Slope of AB = `(7 - 4)/(1 - 2) = 3/(-1)` = – 3
Since required line is parallel to AB, slope of the line is – 3 and it is passing through the origin.
∴ equation of the required line is
y = mx, where m = – 3
∴ y = – 3x.
APPEARS IN
संबंधित प्रश्न
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
Find the equation of the line passing through the points A(2, 0), and B(3, 4)
Find the equation of the line containing the origin and having inclination 60°
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
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 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:
2x − 3y + 12 = 0
Find equations of lines containing the point A(3, 4) and making equal intercepts on the co-ordinates axes.
Find the equations of perpendicular bisectors of sides of the triangle whose vertices are P(−1, 8), Q(4, −2), and R(−5, −3)
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"` =
Answer the following question:
Reduce the equation 6x + 3y + 8 = 0 into slope-intercept form. Hence find its slope
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:
Find the equation of the line having slope 5 and containing point A(–1, 2).
Answer the following question:
Find the equation of the line through the origin which bisects the portion of the line 3x + 2y = 2 intercepted between the co−ordinate axes.
Answer the following question:
Find the equation of the line which contains the point A(3, 5) and makes equal intercepts on the co-ordinates axes.
Answer the following question:
The vertices of a triangle are A(1, 4), B(2, 3) and C(1, 6). Find equations of the medians.
Answer the following question:
The vertices of a triangle are A(1, 4), B(2, 3) and C(1, 6) Find equations of Perpendicular bisectors of sides
Answer the following question:
Find the X−intercept of the line whose slope is 3 and which makes intercept 4 on the Y−axis
Answer the following question:
Two lines passing through M(2, 3) intersect each other at an angle of 45°. If slope of one line is 2, find the equation of the other line.
Answer the following question:
The vertices of ∆PQR are P(2, 1), Q(−2, 3) and R(4, 5). Find the equation of the median through R.
Answer the following question:
Find the co-ordinates of the foot of the perpendicular drawn from the point P(−1, 3) the line 3x − 4y − 16 = 0
Answer the following question:
The perpendicular from the origin to a line meets it at (−2, 9). Find the equation of the line.
Answer the following question:
Show that there is only one line which passes through B(5, 5) and the sum of whose intercept is zero.
If the equation kxy + 5x + 3y + 2 = 0 represents a pair of lines, then k = ____________.
If for a plane, the intercepts on the co-ordinate axes are 8, 4, 4, then the length of the perpendicular from the origin to the plane is ______
The intercept of a line between the coordinate axes is divided by the point (1, 3) in the ratio 3 : 1. The equation of the line will be ______
Let the perpendiculars from any point on the line 7x + 56y = 0 upon 3x + 4y = 0 and 5x – 12y = 0 be p and p', then ______.
