Advertisements
Advertisements
Question
If kx2 + 3xy – 2y2 = 0 represent a pair of lines which are perpendicular then k is equal to:
Options
`1/2`
`-1/2`
2
- 2
Solution
2
APPEARS IN
RELATED QUESTIONS
Find the angle between the lines whose slopes are `1/2` and 3.
Show that the straight lines x + y – 4 = 0, 3x + 2 = 0 and 3x – 3y + 16 = 0 are concurrent.
A manufacturer produces 80 TV sets at a cost of ₹ 2,20,000 and 125 TV sets at a cost of ₹ 2,87,500. Assuming the cost curve to be linear, find the linear expression of the given information. Also, estimate the cost of 95 TV sets.
As the number of units produced increases from 500 to 1000 and the total cost of production increases from ₹ 6000 to ₹ 9000. Find the relationship between the cost (y) and the number of units produced (x) if the relationship is linear.
Prove that the lines 4x + 3y = 10, 3x - 4y = - 5 and 5x + y = 7 are concurrent.
Find the value of p for which the straight lines 8px + (2 - 3p)y + 1 = 0 and px + 8y - 7 = 0 are perpendicular to each other.
If the slope of one of the straight lines ax2 + 2hxy by2 = 0 is thrice that of the other, then show that 3h2 = 4ab.
Find whether the points (-1, -2), (1, 0) and (-3, -4) lie above, below or on the line 3x + 2y + 7 = 0
The x-intercept of the straight line 3x + 2y – 1 = 0 is
The slope of the line 7x + 5y – 8 = 0 is:
