Advertisements
Advertisements
Question
Show that lines x – 2y – 7 = 0 and 2x − 4y + 15 = 0 are parallel to each other
Solution
Let m1 be the slope of the line x – 2y – 7 = 0.
∴ m1 = `(-"coefficient of x")/"coefficient of y" = (-1)/(-2) = 1/2`
Let m2 be the slope of the line 2x − 4y + 15 = 0 .
∴ m2 = `(-"coefficient of x")/"coefficient of y" = (-2)/(-4) = 1/2`
Since m1 = m2,
the given lines are parallel to each other.
APPEARS IN
RELATED QUESTIONS
Find the slope, X-intercept, Y-intercept of the following line:
3x − y − 9 = 0
Find the slope, X-intercept, Y-intercept of the following line:
x + 2y = 0
Write the following equation in ax + by + c = 0 form.
y = 2x – 4
Write the following equation in ax + by + c = 0 form.
y = 4
Write the following equation in ax + by + c = 0 form.
`x/2 + y/4` = 1
Show that lines x − 2y − 7 = 0 and 2x + y + 1 = 0 are perpendicular to each other. Find their point of intersection
If the line 3x + 4y = p makes a triangle of area 24 square unit with the co-ordinate axes then find the value of p.
Find the co-ordinates of the foot of the perpendicular drawn from the point A(–2, 3) to the line 3x – y – 1 = 0
Find the co-ordinates of the circumcenter of the triangle whose vertices are A(–2, 3), B(6, –1), C(4, 3).
Show that lines 3x − 4y + 5 = 0, 7x − 8y + 5 = 0, and 4x + 5y − 45 = 0 are concurrent. Find their point of concurrence
Find the distance of the point A(−2, 3) from the line 12x − 5y − 13 = 0
Find the distance between parallel lines 9x + 6y − 7 = 0 and 3x + 2y + 6 = 0
Find points on the line x + y − 4 = 0 which are at one unit distance from the line 4x + 3y – 10 = 0.
O(0, 0), A(6, 0) and B(0, 8) are vertices of a triangle. Find the co-ordinates of the incenter of ∆OAB
Select the correct option from the given alternatives:
The equation of a line, having inclination 120° with positive direction of X−axis, which is at a distance of 3 units from the origin is
Answer the following question:
Find the distance of the origin from the line x = – 2
Answer the following question:
Which of the following lines passes through the origin?
Answer the following question:
Obtain the equation of the line which is parallel to the X−axis and 3 unit below it.
Answer the following question:
Obtain the equation of the line which is parallel to the Y−axis and 2 units to the left of it.
Answer the following question:
Obtain the equation of the line which is parallel to the X−axis and making an intercept of 5 on the Y−axis.
Answer the following question:
Find the distance between the parallel lines 3x + 4y + 3 = 0 and 3x + 4y + 15 = 0
Answer the following question:
Find the equation of the line which passes through the point of intersection of lines x + y + 9 = 0, 2x + 3y + 1 = 0 and which makes X-intercept 1.
Answer the following question:
Find the distance of P(−1, 1) from the line 12(x + 6) = 5(y − 2)
Answer the following question:
Find points on the X-axis whose distance from the line `x/3 + y/4` = 1 is 4 unit
A particle is moving in a straight line according to as S = 24t + 3t2 - t3, then the time it will come to rest is ______
The y-intercept of the line passing through A( 6, 1) and perpendicular to the line x - 2y = 4 is ______.
The equation 12x2 + 7xy + ay2 + 13x - y + 3 = 0 represents a pair of perpendicular lines. Then the value of 'a' is ______
If a plane has x-intercept l, y-intercept m and z-intercept n, and perpendicular distance of plane from the origin is k, then _______.
