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प्रश्न
State, true or false :
The line `x/2 + y/3 = 0` passes through the point (4, −6).
विकल्प
True
False
उत्तर
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.
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संबंधित प्रश्न
Given the equation of line L, is y = 4.
(1) Write the slope of line L2, if L2, is the bisector of angle O.
(2) Write the co–ordinates of point P.
(3) Find the equation of L2.
Find the equation of the line whose slope is `-4/3` and which passes through (−3, 4).
Find the equation of the line with x-intercept 5 and a point on it (–3, 2).
Find if the following points lie on the given line or not:
(5,3) on the line 3x - 5y + 5 = 0
Find the inclination of a line whose gradient is 1.4281
Find the equation of a line whose slope and y-intercept are m = -3, c = -1
Find the equation of a line passing through (2,5) and making and angle of 30° with the positive direction of the x-axis.
Find a general equation of a line which passes through:
(i) (0, -5) and (3, 0) (ii) (2, 3) and (-1, 2).
In the given diagram, OA = OB, ∠OAB = 𝜃 and the line AB passes through point P (-3, 4).
Find:
- Slope and inclination (𝜃) of the line AB
- Equation of the line AB
Which of the following equation represents a line equally inclined to the axes?
