Advertisements
Advertisements
Question
The lines px + 5y + 7 = 0 and 2y = 5x - 6 are perpendicular to ach other. Find p.
Solution
Slope of px + 5y + 7 = 0 is `(-"p")/5`
Slope of 2y = 5x - 6 is `5/2`
Since the lines are given perpendicular to each other, the product of their slopes must be equal to -1.
`(-"p")/5 xx 5/2` = -1
`therefore` p = 2
APPEARS IN
RELATED QUESTIONS
Find the equation of the line passing through (−5, 7) and parallel to x-axis
Find the equation of the line passing through (−5, 7) and parallel to y-axis
In the following diagram, write down:
- the co-ordinates of the points A, B and C.
- the equation of the line through A and parallel to BC.
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.
Point P divides the line segment joining the points A(8, 0) and B(16, –8) in the ratio 3 : 5. Find its co-ordinates of point P. Also, find the equation of the line through P and parallel to 3x + 5y = 7.
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 relation connecting a and b, if the lines ay = 2x + 4 and 4y + bx = 2 are perpendicular to each other.
