## Question

Find the equation of the bisectors of the angle between the lines represented by .

### Solution

Given equation is

Comparing it with the equation

Hence equation of bisectors of the angle between the pair of the lines (i) is

#### SIMILAR QUESTIONS

Area of the triangle formed by the line *x* + *y* = 3 and angle bisectors of the pair of the straight lines is

If the The Pair of Straight Lines given by forms an equilateral triangle with the line *ax* + *by* + *c* = 0, then (*A* + 3*B*)(3*A* + *B*) =

The area (in square units) of the quadrilateral formed by two pair of the lines

The equation represets

If the pair of lines lie along diameters of a circle and divide the circle into four sectors such that the area of one of the sectors is thrice the area of the another sector, then

If the equation of the The Pair of Straight Lines passing through (1, 1), one making an angle θ with the positive direction of x-axis and the other making the same angle with the positive direction of *y*-axis is , then sin 2θ =

If θ_{1} and θ_{2} be the angle which the lines given by

make with the axis of *x*, then for

If the product of the perpendicular drawn from the point (1, 1) on the lines is 1, then

If the equation represents a The Pair of Straight Lines, then the length of intercept on the *x*-axis cut by the lines is equal to