Question

Find the equation of the straight line, which passes through the point (3, 4) and whose intercept on y-axis is twice that on x-axis.

Solution

Correct option is

2x + y = 10

Let the equation of the line be

                            

According to the question b = 2a

∴ from (i) equation of line will become

                          

Since line (ii) passes through the point (3, 4)

  

∴  from (ii), equation of required line will be

2x + y = 10.

SIMILAR QUESTIONS

Q1

In a triangle ABC,  and point A lies on line y = 2x + 3 where  Area of  is such that [∆] = 5. Possible co-ordinates of ∆ is/are –

Q2

 then the point (x, y) lies on same side of the line 2x + y – 6 = 0 as the point –

Q3

Find the area of the quadrilateral with vertices (3, 3), (1, 4), (–2, 1), (2, –3).

 

Q4

A straight line segment of length ‘p’ moves with its ends on two mutually perpendicular lines. find the locus of the point which divides the line in the ratio 1:2.

Q5

Find the acute angle between the two lines with slopes 1/5 and 3/2.

Q6

If a line has a slope = ½ and passes through (–1, 2); find its equation. 

Q7

If a line has a slope 1/2 and cuts off along the positive y-axis of length 5/2 find the equation of the line.

Q8

If a line passes through two points (1, 5) and (3, 7) find its equation.

Q9

A straight line passes through a point A (1, 2) and makes an angle 60owith the x-axis. This line intersects the line x + y = 6 at the point P. find AP.

Q10

Find the equation of the straight line upon which the length of perpendicular from origin is  units and this perpendicular makes an angle of 75o with the positive direction of x-axis.