Advertisements
Advertisements
प्रश्न
If the lines kx – y + 4 = 0 and 2y = 6x + 7 are perpendicular to each other, find the value of k.
उत्तर
Given lines are
kx – y + 4 = 0
And 2y = 6x + 7
Or y = kx + 4 ...(i)
And y = `3x + 7/2` ...(ii)
On comparing with y = mx + c, we get
m1 = k and m2 = 3
If lines are perpendicular, then
m1m2 = – 1
`\implies` k × 3 = – 1
`\implies` k = `(-1)/3`
APPEARS IN
संबंधित प्रश्न
A slope of a line is 3 and y-intercept is –4. Write the equation of a line
Find the slope of the line parallel to AB if : A = (0, −3) and B = (−2, 5)
Find the slope and the inclination of the line AB if : A = `(-1, 2sqrt(3))` and B = `(-2, sqrt(3))`
Find the value of k for which the lines kx – 5y + 4 = 0 and 5x – 2y + 5 = 0 are perpendicular to each other.
Find the slope of the line passing through the points G(4, 5) and H (–1, –2).
Determine whether the following point is collinear.
A(–1, –1), B(0, 1), C(1, 3)
Find the type of the quadrilateral if points A(–4, –2), B(–3, –7) C(3, –2) and D(2, 3) are joined serially.
Find the slope of a line parallel to the given line 3x-2y = 5
Find the Slope of the line having inclination 45°.
If the lines 7y = ax + 4 and 2y = 3 − x, are parallel to each other, then the value of ‘a’ is:
