## Question

### Solution

Correct option is

(4, –4)

2x – y – 12 = 0

3x + y – 8 = 0

Using cross multiplication rule, we have   So, the point is (4, –4) which is at a distance 4 units from both the coordinate axes.

#### SIMILAR QUESTIONS

Q1

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.

Q2

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

Q3

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

Q4

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.

Q5

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

Q6

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.

Q7

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.

Q8

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.

Q9

Find the value of k so that the straight line 2x + 3y + 4 + k (6x – y + 12) = 0 and 7x + 5y – 4 = 0 are perpendicular to each other.

Q10

Find the area of triangle formed by the lines x – y + 1 = 0, 2x + y + 4 = 0 and x + 3 = 0.