मराठी

Find the Slope of a Line Passing Through the Following Point: (−3, 2) and (1, 4)

Advertisements
Advertisements

प्रश्न

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

 (−3, 2) and (1, 4)

थोडक्यात उत्तर
Advertisements

उत्तर

(−3, 2) and (1, 4)

Let m be the slope of the given line.

\[\therefore m = \frac{y_2 - y_1}{x_2 - x_1}\]

\[ \Rightarrow m = \frac{4 - 2}{1 + 3} = \frac{2}{4} = \frac{1}{2}\]

Hence, the slope of the line passing through the points (−3, 2) and (1, 4) is \[\frac{1}{2}\].

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 23: The straight lines - Exercise 23.1 [पृष्ठ १३]

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 11
पाठ 23 The straight lines
Exercise 23.1 | Q 2.1 | पृष्ठ १३

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

The base of an equilateral triangle with side 2a lies along they y-axis such that the mid point of the base is at the origin. Find vertices of the triangle.


Find a point on the x-axis, which is equidistant from the points (7, 6) and (3, 4).


Find the slope of the line, which makes an angle of 30° with the positive direction of y-axis measured anticlockwise.


The slope of a line is double of the slope of another line. If tangent of the angle between them is `1/3`, find the slopes of the lines.


Consider the given population and year graph. Find the slope of the line AB and using it, find what will be the population in the year 2010?


Find the slope of the lines which make the following angle with the positive direction of x-axis:

\[\frac{2\pi}{3}\]


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

Through (6, 3) and (1, 1); through (−2, 5) and (2, −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).


Find the slope of a line (i) which bisects the first quadrant angle (ii) which makes an angle of 30° with the positive direction of y-axis measured anticlockwise.


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


Without using Pythagoras theorem, show that the points A (0, 4), B (1, 2) and C (3, 3) are the vertices of a right angled triangle.


The slope of a line is double of the slope of another line. If tangents of the angle between them is \[\frac{1}{3}\],find the slopes of the other line.


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


Find the coordinates of the orthocentre of the triangle whose vertices are (−1, 3), (2, −1) and (0, 0).


If the image of the point (2, 1) with respect to a line mirror is (5, 2), find the equation of the mirror.


Find the equation of the right bisector of the line segment joining the points (3, 4) and (−1, 2).


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.


If θ is the angle which the straight line joining the points (x1, y1) and (x2, y2) subtends at the origin, prove that  \[\tan \theta = \frac{x_2 y_1 - x_1 y_2}{x_1 x_2 + y_1 y_2}\text { and } \cos \theta = \frac{x_1 x_2 + y_1 y_2}{\sqrt{{x_1}^2 + {y_1}^2}\sqrt{{x_2}^2 + {y_2}^2}}\].


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


Write the coordinates of the image of the point (3, 8) in the line x + 3y − 7 = 0.


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


If the slopes of the lines given by the equation ax2 + 2hxy + by2 = 0 are in the ratio 5 : 3, then the ratio h2 : ab = ______.


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


If the line joining two points A(2, 0) and B(3, 1) is rotated about A in anticlock wise direction through an angle of 15°. Find the equation of the line in new position.


If one diagonal of a square is along the line 8x – 15y = 0 and one of its vertex is at (1, 2), then find the equation of sides of the square passing through this vertex.


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


The reflection of the point (4, – 13) about the line 5x + y + 6 = 0 is ______.


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.


The equation of the straight line passing through the point (3, 2) and perpendicular to the line y = x is ______.


The tangent of angle between the lines whose intercepts on the axes are a, – b and b, – a, respectively, is ______.


The coordinates of the foot of perpendiculars from the point (2, 3) on the line y = 3x + 4 is given by ______.


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


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


The lines whose vector equations are `r = 2hati - 3hatj + 7hatk + lambda (2hati + phatj + 5hatk) and r = hati - 2hatj + 3hatk + µ(3hati + phatj + phatk)` are perpendicular for all values of λ and µ if p =


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×