Home
Class 12
MATHS
A(1,3)and c(-2/5,-2/5)are the vertices o...

`A(1,3)and c(-2/5,-2/5)`are the vertices of a `DeltaABCand`the equation of the angle bisector of `/_ABC` is `x+y=2.`

A

(3/10, 17/10)

B

(17/10, 3/10)

C

(-5/2, 9/2)

D

(1,1)

Text Solution

Verified by Experts

The correct Answer is:
C
Vertex B is the point of intersection of 7x+3y+4=0 and x+y-2, i.e., `B-=(-5//2, 9//2)`.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE|Exercise Exercise (Matrix)|8 Videos

  • STRAIGHT LINES

    CENGAGE|Exercise Exercise (Numerical)|13 Videos

  • STRAIGHT LINES

    CENGAGE|Exercise Exercise (Multiple)|30 Videos

  • STRAIGHT LINE

    CENGAGE|Exercise Multiple Correct Answers Type|8 Videos

  • THEORY OF EQUATIONS

    CENGAGE|Exercise JEE Advanced Previous Year|9 Videos

Similar Questions

Explore conceptually related problems

The vertices of a triangle are (A(-1,-7),B(5,1), and C(1,4)dot The equation of the bisector of /_A B C is____

Let A (2, -3) and B (-2, 1) be vertices of a triangle ABC. If the centroid of this triangle moves on the line 2x + 3y=1, then the locus of the vertex C is the line

Knowledge Check

  • The vertices of a triangle are A(3, 7), B(3, 4) and C(5, 4). The equation of the bisector of the angle /_ABC is

    A
    y=x+1
    B
    y = x - 1
    C
    y = 3x - 5
    D
    y = x

    • Similar Questions

    Explore conceptually related problems

    The vertices of triangle ABC are A (-2, 3), B (2, -3) and C (4,5) i. Find the slope of BC. ii. Find the equation of the altitude of triangle ABC passing through A.

    Find the equation of the bisectors of the anglebetween the lines 4x+3y=5 and x +2y+3=0.

    Let A B C be a triangle. Let A be the point (1,2),y=x be the perpendicular bisector of A B , and x-2y+1=0 be the angle bisector of /_C . If the equation of B C is given by a x+b y-5=0 , then the value of a+b is (a) 1 (b) 2 (c) 3 (d) 4

    The equations of bisectors of two lines L_1 & L_2 are 2x-16y-5=0 and 64x+ 8y+35=0 . lf the line L_1 passes through (-11, 4) , the equation of acute angle bisector of L_1 & L_2 is:

    A triangle ABC is formed by the points A(2, 3), B(-2, -3), C(4, -3). What is the point of intersection of the side BC and the bisector of angle A?

    Find the area of the triangle formed by the line x+y=3 and the angle bisectors of the pair of lines x^2-y^2+4y-4=0

    If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y.

    Home
    Profile