## Question

### Solution

Correct option is

2a and 2b

Let the line  meets the axes in A and B respectively.

So that

OA = aOB = b

Let the required parallel line meet in A’ and B’ respectively, so thet

OA’ = a’ and OB’ = b’

∴ Equation of required line is Since âˆ†’s OAB and OAB’ are similarly, then   Substituting these values in eq. (i) then It passes through (ab) then  From (ii) required equation is Evidently intercepts on the axes are 2a  and 2b.

#### SIMILAR QUESTIONS

Q1

Find the equation of the straight line bisecting the segment joining the points (5, 3) and (4, 4) and making an angle of 45o with the positive direction of x-axis.

Q2

Find the equation of the right bisector of the line joining (1, 1) and (3, 5).

Q3

Find the equation to the straight line joining the points .

Q4

Let ABC be a triangle with A(–1, –5), B(0, 0) and C(2, 2) and let D be the middle point of BC. Find the equation of the perpendicular drawn from Bto AD.

Q5

The vertices of a triangle are A(10, 4), B(–4, 9) and C(–2, –1). Find the equation of the altitude through A.

Q6

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

Q7

Find the ratio in which the line segment joining the points (2, 3) and (4, 5) is divided by the line joining (6, 8) and (–3, –2).

Q8

Find the equation of the line through (2, 3) so that the segment of the line intercepted between the axes is bisected at this point.

Q9

Find the equation to the straight line which passes through the points (3, 4) and having intercepts on the axes:

1. equal in magnitude but opposite in sign

2. such that their sum is 14

Q10

The length of perpendicular from the origin to a line is 9 and the line makes an angle of 120o with the positive direction of y-axis. Find the equation of the line.