Advertisements
Advertisements
प्रश्न
A(1, 4), B(3, 2) and C(7, 5) are vertices of a triangle ABC. Find the equation of a line, through the centroid and parallel to AB.
उत्तर
Slope of the line parallel to AB = Slope of AB = −1
Thus, the required equation of the line is
y – y1 = m(x – x1)
`y - 11/3 = -1(x - 11/3)`
`y - 11/3 = -x + 11/3`
`y + x = 11/3 + 11/3`
`y + x = (11 + 11)/3`
= `22/3`
3y + 3x = 22
APPEARS IN
संबंधित प्रश्न
The line y = mx + 8 contains the point (−4, 4), calculate the value of m.
The co-ordinates of two points P and Q are (2, 6) and (−3, 5) respectively Find the equation of PQ;
A, B and C have co-ordinates (0, 3), (4, 4) and (8, 0) respectively. Find the equation of the line through A and perpendicular to BC.
Find the equation of the perpendicular dropped from the point (−1, 2) onto the line joining the points (1, 4) and (2, 3).
Find the equations of the line through (1, 3) and making an intercept of 5 on the y-axis.
A(1, 4), B(3, 2) and C(7, 5) are vertices of a triangle ABC. Find the co-ordinates of the centroid of triangle ABC.
The vertices of a triangle ABC are A(0, 5), B(−1, −2) and C(11, 7). Write down the equation of BC. Find:
- the equation of line through A and perpendicular to BC.
- the co-ordinates of the point P, where the perpendicular through A, as obtained in (i), meets BC.
L is a point on the line segment PQ dividing it in the ratio 1 : 3. If the coordinates of P and Q are (3, 7) and ( 11,-5) respectively, find if L lies on the line 2x + 5y = 20.
Find the inclination of a line whose gradient is 0.4663
P(5,3), Q(-4,7) and R(8,3) are he vertices of a traingles. Find the equation of the median of the traiangle from p.
