Question

Given the triangle A (10, 4), B(–4, 9), C(–2, 1), find the equation of median through B.

Solution

Correct option is

13x + 16y = 92

Let E is the mid-point of AC.  

Equation of median through B (–4, 9) and E (4, 5/2) using:

           

          (x1y1) ≡ B (–4, 9) and (x2y2) ≡ (4, 5/2)  

Substituting the values of (x1y1) and (x2y2) in (i), we get:

               

Simplify to get: 13x + 16y = 92 is the required equation.

SIMILAR QUESTIONS

Q1

Find straight lines represented by 6x2 + 13xy + 6y2 + 8x + 7y + 2 = 0 and also find the point of intersection.  

Q2

If abc are all distinct, then the equations (b – c)x + (c – a)y + a – b = 0 and (b3 – c3)x + (c3 – a3)y + a3 – b3 = 0 represent the same line if

Q3

If the pair of lines x2 – 2pxy – y2 = 0 and x2 – 2qxy – y2 = 0 are such that each pair bisects the angle between the other pair, then pq equals  

Q4

Angles made with x-axis by the two lines through the point  (1, 2) and cutting the line x + y = 4 at a distance  from the point (1, 2) are

Q5

If the algebraic sum of the perpendicular distances of a variable line from the points (0, 2), (2, 0) and (1, 1) is zero, then the line always passes through the point

Q6

 be three points. Then the equation of the bisector of angle PQR is

Q7

Find the area of triangle ABC with vertices A (aa2), B (bb2), C (cc2).

Q8

A straight line passes through (2, 3) and the portion of the line intercepted between the axes is bisected at this point. Find its equation

Q9

Find the slope (m), intercepts on X axis, intercept on Y axis of the line 3x+ 2y – 12 = 0. Also trace the line on XY plane.

Q10

Find the equation of the straight line passing through the points (3, 3) and (7, 6). What is the length of the portion of the line intercepted between the axes of the coordinates.