Advertisements
Advertisements
प्रश्न
Write the equation of the line :
parallel to the X-axis and at a distance of 4 unit form the point (−2, 3)
Advertisements
उत्तर
Equation of a line parallel to the X-axis is of the form y = k (k > 0 or k < 0).
Since the line is at a distance of 4 units from the point (− 2, 3),
k = 4 + 3 = 7 or k = 3 – 4 = – 1
∴ The equation of the required line is y = 7 or y = – 1.
APPEARS IN
संबंधित प्रश्न
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 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 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.
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 the median AD
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).
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 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 passing through the points S(2, 1) and T(2, 3)
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:
Find the Y-intercept of the line whose slope is 4 and which has X intercept 5
Answer the following question:
Find the equations of the diagonals of the rectangle whose sides are contained in the lines x = 8, x = 10, y = 11 and y = 12
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 are two lines which pass through A(3, 4) and the sum of whose intercepts is zero.
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 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 point A(b, a) lies on the straight line 2x + 3y = 13 and the point B(a, b) lies on the straight line -x + 4y = 5, then the equation of line AB is ______
A Plane cuts the coordinate axes X, Y, Z at A, B, C respectively such that the centroid of the Δ ABC is (6, 6, 3). Then the equation of that plane is ______.
The angle between the lines x sin 60° + y cos 60° = 5 and x sin 30° + y cos 30° = 7 is ______
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 ______.
