हिंदी

Equation of the line passing through (1, 2) and parallel to the line y = 3x – 1 is ______.

Advertisements
Advertisements

प्रश्न

Equation of the line passing through (1, 2) and parallel to the line y = 3x – 1 is ______.

विकल्प

  • y + 2 = x + 1

  • y + 2 = 3 (x + 1)

  • y – 2 = 3 (x – 1)

  • y – 2 = x – 1

MCQ
रिक्त स्थान भरें
Advertisements

उत्तर

Equation of the line passing through (1, 2) and parallel to the line y = 3x – 1 is y – 2 = 3 (x – 1).

Explanation:

Given equation is y = 3x – 1

Slope = 3

Slope of the line passing through the given point (1, 2) and parallel to the given line = 3

So, the equation of the required line is y – 2 = 3(x – 1)

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Straight Lines - Exercise [पृष्ठ १८२]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 10 Straight Lines
Exercise | Q 34 | पृष्ठ १८२

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Without using distance formula, show that points (–2, –1), (4, 0), (3, 3) and (–3, 2) are vertices of a parallelogram.


Find the values of k for which the line (k–3) x – (4 – k2) y + k2 –7k + 6 = 0 is 

  1. Parallel to the x-axis,
  2. Parallel to the y-axis,
  3. Passing through the origin.

Find the equation of a line drawn perpendicular to the line `x/4 + y/6 = 1`through the point, where it meets the y-axis.


Find the value of p so that the three lines 3x + y – 2 = 0, px + 2y – 3 = 0 and 2x – y – 3 = 0 may intersect at one point.


Find the slope of the lines which make the following angle with the positive direction of x-axis: \[\frac{\pi}{3}\]


Find the slope of a line passing through the following point:

(3, −5), and (1, 2)


State whether the two lines in each of the following are parallel, perpendicular or neither.

Through (5, 6) and (2, 3); through (9, −2) and (6, −5)


State whether the two lines in each of the following is parallel, perpendicular or neither.

Through (3, 15) and (16, 6); through (−5, 3) and (8, 2).


Show that the line joining (2, −3) and (−5, 1) is parallel to the line joining (7, −1) and (0, 3).


Without using the distance formula, show that points (−2, −1), (4, 0), (3, 3) and (−3, 2) are the vertices of a parallelogram.


Find the angle between the X-axis and the line joining the points (3, −1) and (4, −2).


Find the value of x for which the points (x, −1), (2, 1) and (4, 5) are collinear.


Find the equation of a straight line  with slope − 1/3 and y-intercept − 4.


Find the equations of the bisectors of the angles between the coordinate axes.


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


Find the angles between the following pair of straight lines:

3x + y + 12 = 0 and x + 2y − 1 = 0


Find the angle between the line joining the points (2, 0), (0, 3) and the line x + y = 1.


Find the tangent of the angle between the lines which have intercepts 3, 4 and 1, 8 on the axes respectively.


Show that the line a2x + ay + 1 = 0 is perpendicular to the line x − ay = 1 for all non-zero real values of a.


Show that the tangent of an angle between the lines \[\frac{x}{a} + \frac{y}{b} = 1 \text { and } \frac{x}{a} - \frac{y}{b} = 1\text {  is } \frac{2ab}{a^2 - b^2}\].


The equation of the line with slope −3/2 and which is concurrent with the lines 4x + 3y − 7 = 0 and 8x + 5y − 1 = 0 is


The coordinates of the foot of the perpendicular from the point (2, 3) on the line x + y − 11 = 0 are


If m1 and m2 are slopes of lines represented by 6x2 - 5xy + y2 = 0, then (m1)3 + (m2)3 = ?


If x + y = k is normal to y2 = 12x, then k is ______.


Point of the curve y2 = 3(x – 2) at which the normal is parallel to the line 2y + 4x + 5 = 0 is ______.


Find the equation of the straight line passing through (1, 2) and perpendicular to the line x + y + 7 = 0.


A ray of light coming from the point (1, 2) is reflected at a point A on the x-axis and then passes through the point (5, 3). Find the coordinates of the point A.


The equation of the line passing through (1, 2) and perpendicular to x + y + 7 = 0 is ______.


The intercept cut off by a line from y-axis is twice than that from x-axis, and the line passes through the point (1, 2). The equation of the line is ______.


Find the equation of the line passing through the point (5, 2) and perpendicular to the line joining the points (2, 3) and (3, – 1).


Find the equation of a straight line on which length of perpendicular from the origin is four units and the line makes an angle of 120° with the positive direction of x-axis.


If p is the length of perpendicular from the origin on the line `x/a + y/b` = 1 and a2, p2, b2 are in A.P, then show that a4 + b4 = 0.


If the vertices of a triangle have integral coordinates, then the triangle can not be equilateral.


Column C1 Column C2
(a) The coordinates of the points
P and Q on the line x + 5y = 13 which
are at a distance of 2 units from the
line 12x – 5y + 26 = 0 are
(i) (3, 1), (–7, 11)
(b) The coordinates of the point on
the line x + y = 4, which are at a  unit
distance from the line 4x + 3y – 10 = 0 are
(ii) `(- 1/3, 11/3), (4/3, 7/3)`
(c) The coordinates of the point on the line
joining A (–2, 5) and B (3, 1) such that
AP = PQ = QB are
(iii) `(1, 12/5), (-3, 16/5)`

The line which passes through the origin and intersect the two lines `(x - 1)/2 = (y + 3)/4 = (z - 5)/3, (x - 4)/2 = (y + 3)/3 = (z - 14)/4`, is ______.


The three straight lines ax + by = c, bx + cy = a and cx + ay = b are collinear, if ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×