Home
Class 12
MATHS
Consider a triangle ABC with vertex A(2,...

Consider a triangle ABC with vertex A(2, -4). The internal bisectors of the angles B and C are `x+y=2 and x-3y=6` respectively. Let the two bisectors meet at I.
Q. If (a, b) is incentre of the triangle ABC then `(a+b)` has the value equal to :

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Matching Type Problems|2 Videos

  • STRAIGHT LINES

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|10 Videos

  • STRAIGHT LINES

    VK JAISWAL ENGLISH|Exercise Exercise-2 : One or More than One Answer is/are Correct|12 Videos

  • SOLUTION OF TRIANGLES

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|9 Videos

  • TRIGONOMETRIC EQUATIONS

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|9 Videos

Similar Questions

Explore conceptually related problems

Consider a triangle ABC with vertex A(2, -4) . The internal bisectors of the angle B and C are x+y=2 and x- 3y = 6 respectively. Let the two bisectors meet at I .if (a, b) is incentre of the triangle ABC then (a + b) has the value equal to

Consider a triangle ABC with vertex A(2, -4) . The internal bisectors of the angle B and C are x+y=2 and x- 3y = 6 respectively. Let the two bisectors meet at I . If (x_(1), y_(1)) and (x_(2), y_(2)) are the co-ordinates of the point B and C respectively, then the value of (x_(1)x_(2)+y_(1)y_(2)) is equal to :

In a triangle ABC, if A is (1, 2) and the equations of the medians through B and c are x+ y= 5 and x= 4 respectively then B must be:

Let A,B,C be angles of triangles with vertex A -= (4,-1) and internal angular bisectors of angles B and C be x - 1 = 0 and x - y - 1 = 0 respectively. Slope of BC is

Triangle ABC is right angles at B. Internet bisectors of acute angles A and C meet at point I. Find the measure of angle AIC

The bisectors of angles A and B of a scalene triangle ABC meet at O. What is the point O called ?

A B C is a triangle in which /_A=72^0 , the internal bisectors of angles B and C meet in O . Find the magnitude of /_B O Cdot

In triangleABC , vertex A is (1, 2). If the internal angle bisector of angle B is 2x- y+10=0 and the perpendicular bisector of AC is y = x, then find the equation of BC

In triangleABC , vertex A is (1, 2). If the internal angle bisector of angle B is 2x- y+10=0 and the perpendicular bisector of AC is y = x, then find the equation of BC

In a triangle ABC, D is a point on BC such that AD is the internal bisector of angle A . Let angle B = 2 angle C and CD = AB. Then angle A is