Home
Class 12
MATHS
Let ABC be a triangle and A -= (1,2) ,y ...

Let ABC be a triangle and `A -= (1,2) ,y = x ` be the perpendicular bisector of AB and `x-2y+1=0` be the perpendicular bisector of `angle C` . If the equation of BC is given by `ax+by-5 = 0` then the value of `a -2b` is

Text Solution

Verified by Experts

The correct Answer is:
5
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise JEE Main Archive|32 Videos
  • 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 Level -2 Passage|5 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

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

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

Perpendicular bisectors of the sides AB and AC of a triangle ABC meet at O. Does the perpendicular bisector of BC pass through O?

Consider a A B C is which side A Ba n dA C are perpendicular to x-y-4=0a n d2x-y-5=0, respectively. Vertex A is (-2,3) and the circumcenter of A B C is (3/2,5/2)dot The equation of line in column I is of the form a x+b y+c=0 , where a , b , c in Idot Match it with the corresponding value of c in column I I Column I|Column II Equation of the perpendicular bisector of side B A |p. -1 Equation of the perpendicular bisector of side A C |q. 1 Equation of side A C |r. -16 Equation of the median through A |s. -4

Given two points A (-5, 2) and B (1, -4), find : equation of the perpendicular bisector of AB.

The equation of the perpendicular bisector of line AB is x+2y=8 and the co-ordinates of point A are (1,1) . Co-ordinates of B are :

Let A3(0,4) and Bs(21,0) in R . Let the perpendicular bisector of AB at M meet the y-axis at R. Then the locus of midpoint P of MR is y=x^2 + 21

ABC is an equilateral triangle .If AD bisects angle A, Prove that AD is perpendicular bisector of BC .

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. find the equation of 'BC'