Advertisements
Advertisements
प्रश्न
Find the value of a line perpendicular to the given line 2x-3y = 4
उत्तर
When the lines are perpendicular to the product of their slopes is -1
i.e m1 x m2 = -1
2x - 3y = 4
3y = 2x -4
y = `2/3"x" -4/3`
Slope m1 = `2/3`
Required slope of line (m2)
m1 - m2 = -1
⇒ m2 = `(-1)/"m"_1`
⇒ m2 = `(-1)/(2//3) = -3/2`
APPEARS IN
संबंधित प्रश्न
Find the equation of the line passing through (−5, 7) and parallel to x-axis
Find the equation of the line parallel to the line 3x + 2y = 8 and passing through the point (0, 1).
A(1, −5), B(2, 2) and C(−2, 4) are the vertices of triangle ABC. Find the equation of the median of the triangle through A.
A(1, −5), B(2, 2) and C(−2, 4) are the vertices of triangle ABC. Find the equation of the altitude of the triangle through B.
Find the value of k such that the line (k – 2)x + (k + 3)y – 5 = 0 is:
- perpendicular to the line 2x – y + 7 = 0
- parallel to it.
From the given figure, find:
- the co-ordinates of A, B and C.
- the equation of the line through A and parallel to BC.
A(8, −6), B(−4, 2) and C(0, −10) are vertices of a triangle ABC. If P is the mid-point of AB and Q is the mid-point of AC, use co-ordinate geometry to show that PQ is parallel to BC. Give a special name to quadrilateral PBCQ.
Find the slope of a line perpendicular to the foloowing line `"x"/2 + "y"/3 = 4/3`
Find the relation connecting p and q, if the lines py = 2x + 5 and qx + 3y = 2 are parallel to each other.
Find the equation of the perpendicular bisector of AB if the coordinates of A and B are (2,6) and ( 4,6).