मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Write the equation of the line : parallel to the X-axis and at a distance of 4 unit form the point (−2, 3) - Mathematics and Statistics

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)

बेरीज
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.

shaalaa.com
Equations of Line in Different Forms
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Straight Line - Exercise 5.3 [पृष्ठ ११४]

APPEARS IN

संबंधित प्रश्‍न

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


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°


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


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


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:

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


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 Y-intercept of the line whose slope is 4 and which has X intercept 5


Answer the following question:

A(1, 4), B(2, 3) and C(1, 6) are vertices of ∆ABC. Find the equation of the altitude through B and hence find the co-ordinates of the point where this altitude cuts the side AC of ∆ABC.


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:

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 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 lines `(x + 1)/(-10) = (y + 3)/-1 = (z - 4)/1` and `(x + 10)/(-1) = (y + 1)/-3 = (z - 1)/4` intersect at the point ______ 


The angle between the lines x sin 60° + y cos 60° = 5 and x sin 30° + y cos 30° = 7 is ______ 


Suppose the line `(x - 2)/α = ("y" - 2)/(-5) = ("z" + 2)/2` lies on the plane x + 3y – 2z + β = 0. Then (α + β) is equal to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×