Advertisements
Advertisements
प्रश्न
The vertices of a triangle are A(3, 4), B(2, 0) and C(1, 6). Find the equation of the median AD.
Advertisements
उत्तर
Vertices of ΔABC are A(3, 4), B(2, 0) and C(1, 6)
Let D be the midpoint of side BC.
Then, AD is the median through A.
∴ D = `((2 + 1)/2, (0 + 6)/2) = (3/2, 3)`
The median AD passes through the points
A(3, 4) and `"D"(3/2, 3)`
∴ The equation of the median AD is
`(y - 4)/(3 - 4) = (x - 3)/(3/2 - 3)`
∴ `(y - 4)/(-1) = (x - 3)/(-3/2)`
∴ `3/2 (y - 4)` = x – 3
∴ 3y – 12 = 2x – 6
∴ 2x – 3y + 6 = 0
APPEARS IN
संबंधित प्रश्न
Find the equation of the line passing through the points A(2, 0) and B(3, 4).
Line y = mx + c passes through the points A(2, 1) and B(3, 2). Determine m and c.
The vertices of a triangle are A(3, 4), B(2, 0) and C(1, 6). Find the equations of side BC
The vertices of a triangle are A(3, 4), B(2, 0) and C(1, 6). Find the equations of the line passing through the mid points of sides AB and BC.
Find the equations of a line containing the point A(3, 4) and making equal intercepts on the co-ordinate axes.
Find the slope, x-intercept, y-intercept of the following line : x + 2y = 0
Write the following equation in ax + by + c = 0 form: y = 2x – 4
Write the following equation in ax + by + c = 0 form: y = 4
Find the equation of the line whose x-intercept is 3 and which is perpendicular to the line 3x – y + 23 = 0.
Verify that A(2, 7) is not a point on the line x + 2y + 2 = 0.
Find the equation of the line: containing the point (2, 1) and having slope 13.
Find the equation of the line: through the origin which bisects the portion of the line 3x + 2y = 2 intercepted between the co-ordinate axes.
Find the equation of the line passing through the points A(–3, 0) and B(0, 4).
Find the equation of the line: having slope 5 and making intercept 5 on the X−axis.
Find the equation of the line: having an inclination 60° and making intercept 4 on the Y-axis.
The vertices of a triangle are A (1, 4), B (2, 3) and C (1, 6). Find equations of the medians.
The vertices of a triangle are A (1, 4), B (2, 3) and C (1, 6). Find equations of altitudes of ΔABC
