English

Find the Equation of the Line Parallel to X-axis and Passing Through (3, −5). - Mathematics

Advertisements
Advertisements

Question

Find the equation of the line parallel to x-axis and passing through (3, −5).

Answer in Brief
Advertisements

Solution

The equation of a line parallel to the x-axis is k
It is given that passes through (3, −5)
∴ −5 = k

\[\Rightarrow\] k = −5

Hence, the equation of the required line is y = −5

shaalaa.com
Equations of Line in Different Forms - Equation of Family of Lines Passing Through the Point of Intersection of Two Lines
  Is there an error in this question or solution?
Chapter 23: The straight lines - Exercise 23.2 [Page 17]

APPEARS IN

RD Sharma Mathematics [English] Class 11
Chapter 23 The straight lines
Exercise 23.2 | Q 1 | Page 17

RELATED QUESTIONS

Find the equations of the straight lines which pass through (4, 3) and are respectively parallel and perpendicular to the x-axis.


Find the equation of a line equidistant from the lines y = 10 and y = − 2.


Find the equation of the straight line passing through the point (6, 2) and having slope − 3.


Find the equation of the straight line passing through (3, −2) and making an angle of 60° with the positive direction of y-axis.


Find the equation of the straight line which divides the join of the points (2, 3) and (−5, 8) in the ratio 3 : 4 and is also perpendicular to it.


Prove that the perpendicular drawn from the point (4, 1) on the join of (2, −1) and (6, 5) divides it in the ratio 5 : 8.


Find the equation of the straight lines passing through the following pair of point :

(0, −a) and (b, 0)


Find the equations of the medians of a triangle, the coordinates of whose vertices are (−1, 6), (−3, −9) and (5, −8).


The length L (in centimeters) 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.


The owner of a milk store finds that he can sell 980 litres milk each week at Rs 14 per liter and 1220 liters of milk each week at Rs 16 per liter. Assuming a linear relationship between selling price and demand, how many liters could he sell weekly at Rs 17 per liter.


Find the equation to the straight line cutting off intercepts 3 and 2 from the axes.


Find the equation to the straight line which cuts off equal positive intercepts on the axes and their product is 25.


Find the equation of the line which passes through the point (− 4, 3) and the portion of the line intercepted between the axes is divided internally in the ratio 5 : 3 by this point. 


Find the equation of the line which passes through the point (3, 4) and is such that the portion of it intercepted between the axes is divided by the point in the ratio 2:3.


Find the equation of a line which passes through the point (22, −6) and is such that the intercept of x-axis exceeds the intercept of y-axis by 5.


Find the equation of the line passing through the point (2, 2) and cutting off intercepts on the axes whose sum is 9.


Find the equations of the straight lines each of which passes through the point (3, 2) and cuts off intercepts a and b respectively on X and Y-axes such that a − b = 2.


Find the equation of the straight line passing through the point (2, 1) and bisecting the portion of the straight line 3x − 5y = 15 lying between the axes.


A line is such that its segment between the straight lines 5x − y − 4 = 0 and 3x + 4y − 4 = 0 is bisected at the point (1, 5). Obtain its equation.


Find the equation of the straight line passing through the point of intersection of the lines 5x − 6y − 1 = 0 and 3x + 2y + 5 = 0 and perpendicular to the line 3x − 5y + 11 = 0 .


Find the equation of a line passing through the point (2, 3) and parallel to the line 3x − 4y + 5 = 0.


Find the equation of the straight line perpendicular to 5x − 2y = 8 and which passes through the mid-point of the line segment joining (2, 3) and (4, 5).


Find the distance of the point (1, 2) from the straight line with slope 5 and passing through the point of intersection of x + 2y = 5 and x − 3y = 7.


Find the equations to the straight lines which pass through the point (h, k) and are inclined at angle tan−1 m to the straight line y = mx + c.


Find the equations to the sides of an isosceles right angled triangle the equation of whose hypotenues is 3x + 4y = 4 and the opposite vertex is the point (2, 2).


The equation of one side of an equilateral triangle is x − y = 0 and one vertex is \[(2 + \sqrt{3}, 5)\]. Prove that a second side is \[y + (2 - \sqrt{3}) x = 6\]  and find the equation of the third side.


Find the equations of two straight lines passing through (1, 2) and making an angle of 60° with the line x + y = 0. Find also the area of the triangle formed by the three lines.


The equation of the base of an equilateral triangle is x + y = 2 and its vertex is (2, −1). Find the length and equations of its sides.


Find the equation of the straight line drawn through the point of intersection of the lines x + y = 4 and 2x − 3y = 1 and perpendicular to the line cutting off intercepts 5, 6 on the axes.


Prove that the family of lines represented by x (1 + λ) + y (2 − λ) + 5 = 0, λ being arbitrary, pass through a fixed point. Also, find the fixed point.


Write the equation of the line passing through the point (1, −2) and cutting off equal intercepts from the axes.


If the point (5, 2) bisects the intercept of a line between the axes, then its equation is


The inclination of the straight line passing through the point (−3, 6) and the mid-point of the line joining the point (4, −5) and (−2, 9) is


Find the equation of lines passing through (1, 2) and making angle 30° with y-axis.


The equation of the line joining the point (3, 5) to the point of intersection of the lines 4x + y – 1 = 0 and 7x – 3y – 35 = 0 is equidistant from the points (0, 0) and (8, 34).


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×