## Question

### Solution

Correct option is Let AB be the required line and OL be perpendicular to it.  ∴ equation of line AB will be [Normal form]                                                 … (i)

Now cos 75o = cos (30o + 45o)     ∴ form (i) equation of line AB is  #### SIMILAR QUESTIONS

Q1 then the point (x, y) lies on same side of the line 2x + y – 6 = 0 as the point –

Q2

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

Q3

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.

Q4

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

Q5

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

Q6

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.

Q7

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

Q8

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.

Q9

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.

Q10

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.