In a triangle ABC, if A is (1, 2) and th...

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:

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

STRAIGHT LINES
VMC MODULES ENGLISH|Exercise JEE Main Archive (State true or false: Q. 16 to 18)|3 Videos
STRAIGHT LINES
VMC MODULES ENGLISH|Exercise JEE Advanced Archive|42 Videos
STRAIGHT LINES
VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|15 Videos
SEQUENCE AND SERIES
VMC MODULES ENGLISH|Exercise JEE MAIN & Advance ( ARCHIVE)|46 Videos
THREE DIMENSIONAL GEOMETRY
VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|34 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 the equation of sides AB,BC and CA are 2x- y + 4 = 0 , x - 2y - 1 = 0 and x + 3y - 3 = 0 respectively , The equation of external bisector of angle B is

In triangle A B C , the equation of the right bisectors of the sides A B and A C are x+y=0 and y-x=0 , respectively. If A-=(5,7) , then find the equation of side B Cdot

In a triangle ABC , if the equation of sides AB,BC and CA are 2x- y + 4 = 0 , x - 2y - 1 = 0 and x + 3y - 3 = 0 respectively ,Tangent of internal angle A is equal to

In a triangle A B C , if A is (2,-1),a n d7x-10 y+1=0 and 3x-2y+5=0 are the equations of an altitude and an angle bisector, respectively, drawn from B , then the equation of B C is (a) a+y+1=0 (b) 5x+y+17=0 (c) 4x+9y+30=0 (d) x-5y-7=0

The base BC of a triangle ABC is bisected at the point (a, b) and equation to the sides AB and AC are respectively ax+by=1 and bx+ay=1 Equation of the median through A is:

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. If A,B,C are angles of triangle at vertices A,B,C respectively then cot ((B)/(2))cot .((C)/(2)) =

In triangle ABC, AD and BE are the medians drawn through the angular points A and B respectively. /_DAB=2/_ABE=36^@ and AD=6 units then circumradius of the triangle is equal to

In triangle ABC, the co-ordinates of vertices A, B and C are (4, 7), (-2, 3) and (0, 1) respectively. Find the equation of median through vertex A. Also, find the equation of the line through vertex B and parallel to AC.

VMC MODULES ENGLISH-STRAIGHT LINES-JEE Main Archive

about to only mathematics
Text Solution
|
The points (-a,-b), (0,0). (a,b) and (a^(2),ab)) are
Text Solution
|
y=10^x is the reflection of y=log(10) x in the line whose equation is
Text Solution
|
The area of the parallelogram formed by the lines y=m x ,y=x m+1,y=n x...
Text Solution
|
The points (0,8/3),(1,3) and (82 ,30) are the vertices of (A) an obtu...
Text Solution
|
about to only mathematics
Text Solution
|
Given the four lines with the equations x+2y-3=0, 3x+4y-7=0, 2x+3y...
Text Solution
|
The lines ax + by + c = 0, where 3a + 2b + 4c= 0, are concurrent at th...
Text Solution
|
Let the orthocentre and centroid of a triangle be A(-3,5) and B(3,3) ,...
Text Solution
|
The straight line through a fixed point (2,3) intersects the coordinat...
Text Solution
|
In a triangle ABC, if A is (1, 2) and the equations of the medians thr...
Text Solution
|
about to only mathematics
Text Solution
|
The fooot of the perpendicular on the line 3x+y=lambda drawn from the ...
Text Solution
|
Let k be an integer such that the triangle with vertices (k ,-3k),(5...
Text Solution
|
A square of each side 2, lies above the x-axis and has one vertex at t...
Text Solution
|
Two sides of a rhombus are along the lines x-y+1=0 and 7x-y-5=0. If it...
Text Solution
|
If a variable line drawn through the intersection of the lines x/3+y/4...
Text Solution
|
The point (2,1) is translated parallel to the line L: x-y=4 by 2sqrt(...
Text Solution
|
A straight line through origin O meets the lines 3y=10-4x and 8x+6y+5...
Text Solution
|
A ray of light is incident along a line which meets another line, 7x-y...
Text Solution
|