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

# Area Of The Triangle Formed By The Line x + y = 3 And Angle Bisectors Of The Pair Of The Straight Lines  is

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## Question

### Solution

Correct option is

2 sq. units

We have,

Thus, the lines given by equation (i) are

Clearly, these two equations represent a pair of perpendicular lines intersecting at (0, 1). The equations of the angle bisectors are y = 1 and x= 0.

The line x + y = 3 forms the triangle ABC with the two angle bisectors.

#### SIMILAR QUESTIONS

Q1

If the pair of lines represented by   intersect on y-axis, then

Q2

If the chord y = mx + 1 of the circle x2 + y2 = 1 subtends an angle of 45oat the major segment of the circle, then m =

Q3

The straight lines represented by

Q4

The equation  of the image of the pair of rays  in the line mirror x= 1 is

Q5

Two lines represented by the equation  are rotated about the point (1, 0), the line making the bigger angle with the positive direction of the x-axis being turned by 45o in the clockwise sense and the other line being turned by 15o in the anticlockwise sense. The combined equation of the pair of lines kin their new position is

Q6

The value of λ for which the lines joining the point of intersection of curves C1 and C2 to the origin are equally inclined to the axis of X.

Q7

If one of the lines given by the equation  coincide with one of those given by  and the other lines represented by them be perpendicular, then

Q8

If the pair of lines  have exactly one line in common, then a =

Q9

If one of the given by , then cequals

Q10

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