Advertisements
Advertisements
Question
State, true or false :
The line `x/2 + y/3 = 0` passes through the point (4, −6).
Options
True
False
Solution
This statement is True.
Explanation:
The given line is `x/2 + y/3 = 0`
Substituting x = 4 and y = – 6 in the given equation,
L.H.S = `4/2 + (-6)/3`
= 2 − 2
= 0 = R.H.S
Thus, the given statement is true.
APPEARS IN
RELATED QUESTIONS
If the straight lines 3x – 5y = 7 and 4x + ay + 9 = 0 are perpendicular to one another, find the value of a.
Show that the lines 2x + 5y = 1, x – 3y = 6 and x + 5y + 2 = 0 are concurrent.
A, B and C have co-ordinates (0, 3), (4, 4) and (8, 0) respectively. Find the equation of the line through A and perpendicular to BC.
Find the value of a if the line 4 x = 11 - 3y passes through the point (a, 5)
L is a point on the line segment PQ dividing it in the ratio 1 : 3. If the coordinates of P and Q are (3, 7) and ( 11,-5) respectively, find if L lies on the line 2x + 5y = 20.
Find the inclination of a line whose gradient is 0.4663
Find the inclination of a line whose gradient is 5.6713
Find the equation of a line whose slope and y-intercept are m = `(-6)/5`, c = 3
The coordinates of two points P and Q are (0,4) and (3,7) respectively. Find
(i) The gradient of PQ
(ii) the equation of PQ
(iii) the coordinates of the point where the line AB intersects the X-axis.
Find the equations of a line passing through the point (2, 3) and having the x – interecpt of 4 units.