Advertisements
Advertisements
प्रश्न
If the lines 7y = ax + 4 and 2y = 3 − x, are parallel to each other, then the value of ‘a’ is:
विकल्प
- 1
`(-7)/2`
`(-2)/7`
14
उत्तर
`(-7)/2`
Explanation:
7y = ax + 4
⇒ y = `a/7x + 4/7`
∴ m1 = `a/7`
2y = 3 − x
⇒ `y = -x/2 + 3/2`
∴ m2 = `(-1)/2`
Here, the lines 7y = ax + 4 and 2y = 3 − x are parallel to each other.
∴ m1 = m2
⇒ `a/7 = (-1/2)`
⇒ a = `(-7)/2`
APPEARS IN
संबंधित प्रश्न
Find the slope of the line parallel to AB if : A = (−2, 4) and B = (0, 6)
Find the value(s) of k so that PQ will be parallel to RS. Given : P(5, −1), Q(6, 11), R(6, −4k) and S(7, k2)
Lines mx + 3y + 7 = 0 and 5x – ny – 3 = 0 are perpendicular to each other. Find the relation connecting m and n.
Find the value of p if the lines, whose equations are 2x – y + 5 = 0 and px + 3y = 4 are perpendicular to each other.
If A(1, –1), B(0, 4), C(–5, 3) are vertices of a triangle then find the slope of each side.
Find k, if PQ || RS and P(2, 4), Q (3, 6), R(3, 1), S(5, k).
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 ........ .
Find the slope of a line parallel to the given line 5x + 2y = 11
Show that points A(– 4, –7), B(–1, 2), C(8, 5) and D(5, – 4) are the vertices of a parallelogram ABCD