हिंदी

Answer the following question: Obtain the equation of the line containing the point (2, 3) and parallel to the X-axis. - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Answer the following question:

Obtain the equation of the line containing the point (2, 3) and parallel to the X-axis.

योग
Advertisements

उत्तर

The equation of the line parallel to X-axis is of the type y = b. If this contains the point (2, 3), then the coordinates of this point satisfy this equation.

∴ b = 3

∴ the equation of the line parallel to X-axis and containing the point (2, 3) is y = 3.

shaalaa.com
Equations of Line in Different Forms
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Straight Line - Miscellaneous Exercise 5 [पृष्ठ १२५]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 11 Maharashtra State Board
अध्याय 5 Straight Line
Miscellaneous Exercise 5 | Q II. (7) (i) | पृष्ठ १२५

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 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


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 having slope `1/2` and containing the point (3, −2).


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.


Find the equation of the line having inclination 135° and making X-intercept 7


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 the equations of perpendicular bisectors of sides of the triangle whose vertices are P(−1, 8), Q(4, −2), and R(−5, −3)


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


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 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:

The vertices of a triangle are A(1, 4), B(2, 3) and C(1, 6). Find equations of the sides.


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 altitudes of ∆ABC


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 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:

Show that there are two lines which pass through A(3, 4) and the sum of whose intercepts is zero.


If the equation kxy + 5x + 3y + 2 = 0 represents a pair of lines, then k = ____________.


The line L given by `x/5+y/b=1` passes through the point (13, 32). The line K is parallel to L and its equation is `x/c+y/3=1`. Then, the distance between L and K is ______.


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


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×