Home
Class 12
MATHS
In A B C , the coordinates of the verte...

In ` A B C` , the coordinates of the vertex `A` are `(4,-1)` , and lines `x-y-1=0` and `2x-y=3` are the internal bisectors of angles `Ba n dC` . Then, the radius of the encircle of triangle `A B C` is `4/(sqrt(5))` (b) `3/(sqrt(5))` (c) `6/(sqrt(5))` (d) `7/(sqrt(5))`

A

`5/(sqrt(5))`

B

`3/(sqrt(5))`

C

`6/(sqrt(5))`

D

`7/(sqrt(5))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 5|16 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 6|12 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 3|19 Videos

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

The vertices of a triangle are A(1,1,2), B (4,3,1) and C (2,3,5). The vector representing internal bisector of the angle A is

A(1,3) and C(-2/5, -2/5) are the vertices of a triangle ABC and the equation of the internal angle bisector of angleABC " is " x+y=2. The coordinates of vertex B are

In triangle ABC let tanA=1, tanB= 2, tanC=3 and c= 3, The radius of the circle circumscribing the triangle ABC, is equal to A. (sqrt10)/(2) B. sqrt5 C. sqrt10 D. (sqrt5)/(2)

sinx+cosx=y^2-y+a has no value of x for any value of y if a belongs to (a) (0,""sqrt(3)) (b) (-""sqrt(3),0) (c) (-oo,-""sqrt(3)) (d) (""sqrt(3),oo)

If the line 2x+sqrt(6)y=2 touches the hyperbola x^2-2y^2=4 , then the point of contact is (-2,sqrt(6)) (b) (-5,2sqrt(6)) (1/2,1/(sqrt(6))) (d) (4,-sqrt(6))

The coordinates of A ,\ B ,\ C are (6,\ 3),\ (-3,\ 5) and (4,\ -2) respectively and P is any point (x ,\ y) . Show that the ratio of the areas of triangles P B C and A B C is |(x+y-2)/7| .

If the maximum distance of any point on the ellipse x^2+2y^2+2x y=1 from its center is r , then r is equal to 3+sqrt(3) (b) 2+sqrt(2) (sqrt(2))/(sqrt(3-sqrt(5))) (d) sqrt(2-sqrt(2))

Let A(4, 2), B (6, 5) and C (1, 4) be the vertices of triangleABC . :- If (x_1,y_1) , B (x_2,y_2) and C (x_3,y_3) the vertices of triangleABC , find the coordinates of the centroid of the triangle.

The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is 2sqrt(2) (b) 1/2sqrt(2) (c) 4 (d) sqrt((36)/5)

Find the values of a and b in each of the following (4+3sqrt5)/(4-3sqrt5)=a+bsqrt5