Advertisements
Advertisements
प्रश्न
Find the value, of k, if the line represented by kx – 5y + 4 = 0 and 4x – 2y + 5 = 0 are perpendicular to each other.
उत्तर
Here, kx - 5y + 4 = 0
⇒ y = `(kx)/(5) + (4)/(5)`
∴ The slope of the line is `k/(5)`.
Also 4x - 2y + 5 = 0
y = `2x + (5)/(2)`
∴ The slope of line is 2.
Since, the given lines are perpendicular to each other, we have
`(k/5)(2)` = -1
⇒ k = `(-5)/(2)`.
APPEARS IN
संबंधित प्रश्न
Find the slope of the line parallel to AB if : A = (−2, 4) and B = (0, 6)
Find the slope of the line perpendicular to AB if : A = (3, −2) and B = (−1, 2)
The line passing through (0, 2) and (−3, −1) is parallel to the line passing through (−1, 5) and (4, a). Find a.
Fill in the blank using correct alternative.
Seg AB is parallel to Y-axis and coordinates of point A are (1,3) then co–ordinates of point B can be ........ .
Determine whether the given point is collinear.
A (0, 2), B (1, -0.5), C (2, -3)
Find the value of x so that the line passing through (3, 4) and (x, 5) makes an angle 135° with positive direction of X-axis.
What is the name of the point of intersection of coordinate axes?
Four alternative answers for the following question are given. Choose the correct alternative and write its alphabet:
Slope of X-axis is ______.
