English

Find the equation of the line passing through the points P(2, 1) and Q(2, –1) - Mathematics and Statistics

Advertisements
Advertisements

Question

Find the equation of the line passing through the points P(2, 1) and Q(2, –1)

Sum

Solution

The required line passes through the points P(2, 1) and Q(2, – 1).
Since both, the given points have the same x co-ordinates i.e. 2,
the given points lie on the line x = 2.
∴ The equation of the required line is x = 2.

shaalaa.com
Equations of Line in Different Forms
  Is there an error in this question or solution?
Chapter 5: Straight Line - Exercise 5.3 [Page 114]

RELATED QUESTIONS

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


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 Y−axis and making an intercept of 4 unit on the X−axis


Obtain the equation of the line containing the point :

B(4, –3) and parallel to the X-axis


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 containing point A(3, 5) and having slope `2/3`.


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


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


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


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).


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:

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:

Find the equation of the line through A(−2, 3) and perpendicular to the line through S(1, 2) and T(2, 5)


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:

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:

A line perpendicular to segment joining A(1, 0) and B(2, 3) divides it internally in the ratio 1 : 2. 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 = ____________.


The slope of normal to the curve x = `sqrt"t"` and y = `"t" - 1/sqrt"t"`at t = 4 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 ______


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 ______.


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 ______.


Area of the parallelogram formed by the lines y = mx, y = mx + 1, y = nx and y = nx + 1 is equal to ______.


N(3, – 4) is the foot of the perpendicular drawn from the origin to a line L. Then, the equation of the line L is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×