मराठी

Find the equation of the line which satisfy the given condition: Intersects the x-axis at a distance of 3 units to the left of origin with slope –2. - Mathematics

Advertisements
Advertisements

प्रश्न

Find the equation of the line which satisfy the given condition:

Intersects the x-axis at a distance of 3 units to the left of origin with slope –2.

बेरीज
Advertisements

उत्तर

The point located at a distance of 3 units to the left from the origin will be (−3, 0) and slope m = –2.

The equation of the line through m and  (x1, y1),

y – y1 = m(x – x1)

Putting  x1 = –3 and y1 = 0,

y – 0 = –2(x + 3)

or y = –2x – 6

or 2x + y + 6 = 0

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 9: Straight Lines - EXERCISE 9.2 [पृष्ठ १६३]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 11
पाठ 9 Straight Lines
EXERCISE 9.2 | Q 5. | पृष्ठ १६३

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Find the equation of the line which satisfy the given condition:

Write the equations for the x and y-axes.


Find the equation of the line that satisfies the given condition:

Passing through the point (−4, 3) with slope `1/2`.


Find the equation of the line which satisfy the given condition:

Passing though (0, 0) with slope m.


Find the equation of the line which satisfy the given condition:

Passing though `(2, 2sqrt3)` and is inclined with the x-axis at an angle of 75°.


Find the equation of the line which is at a perpendicular distance of 5 units from the origin and the angle made by the perpendicular with the positive x-axis is 30°


Find the equation of the line which satisfy the given condition:

The vertices of ΔPQR are P (2, 1), Q (–2, 3) and R (4, 5). Find equation of the median through the vertex R.


Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2, 3).


The perpendicular from the origin to a line meets it at the point (– 2, 9), find the equation of the line.


The length L (in centimetre) of a copper rod is a linear function of its Celsius temperature C. In an experiment, if L = 124.942 when C = 20 and L = 125.134 when C = 110, express L in terms of C


P (a, b) is the mid-point of a line segment between axes. Show that equation of the line is `x/a + y/b = 2`


Point R (h, k) divides a line segment between the axes in the ratio 1:2. Find equation of the line.


By using the concept of equation of a line, prove that the three points (3, 0), (–2, –2) and (8, 2) are collinear.


Find the area of the triangle formed by the lines y – x = 0, x + y = 0 and x – k = 0.


Find the image of the point (3, 8) with respect to the line x + 3y = 7 assuming the line to be a plane mirror.


If the lines y = 3x + 1 and 2y = x + 3 are equally inclined to the line y = mx + 4, find the value of m.


Classify the following pair of line as coincident, parallel or intersecting:

 2x + y − 1 = 0 and 3x + 2y + 5 = 0


Classify the following pair of line as coincident, parallel or intersecting:

3x + 2y − 4 = 0 and 6x + 4y − 8 = 0.


Prove that the lines \[\sqrt{3}x + y = 0, \sqrt{3}y + x = 0, \sqrt{3}x + y = 1 \text { and } \sqrt{3}y + x = 1\]  form a rhombus.


Prove that the lines 2x − 3y + 1 = 0, x + y = 3, 2x − 3y = 2  and x + y = 4 form a parallelogram.


Show that the diagonals of the parallelogram whose sides are lx + my + n = 0, lx + my + n' = 0, mx + ly + n = 0 and mx + ly + n' = 0 include an angle π/2.


Show that the point (3, −5) lies between the parallel lines 2x + 3y − 7 = 0 and 2x + 3y + 12 = 0 and find the equation of lines through (3, −5) cutting the above lines at an angle of 45°.


Write an equation representing a pair of lines through the point (a, b) and parallel to the coordinate axes.


Three vertices of a parallelogram taken in order are (−1, −6), (2, −5) and (7, 2). The fourth vertex is


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×