Advertisements
Advertisements
प्रश्न
State, true or false :
The point (–3, 0) lies on the line x + 3 = 0
पर्याय
True
False
उत्तर
This statement is True.
Explanation:
L.H.S. = x + 3
= −3 + 3
= 0 = R.H.S
Thus, the point (−3, 0) lies on the line x + 3 = 0.
The given statement is true.
APPEARS IN
संबंधित प्रश्न
Find the equation of a line which passes through (5, 4) and makes an angle of 60° with the positive direction of the x-axis.
The co-ordinates of two points P and Q are (2, 6) and (−3, 5) respectively. Find:
- the gradient of PQ;
- the equation of PQ;
- the co-ordinates of the point where PQ intersects the x-axis.
A(1, 4), B(3, 2) and C(7, 5) are vertices of a triangle ABC. Find the equation of a line, through the centroid and parallel to AB.
A(7, −1), B(4, 1) and C(−3, 4) are the vertices of a triangle ABC. Find the equation of a line through the vertex B and the point P in AC; such that AP : CP = 2 : 3.
The line segment joining the points A(3, −4) and B(−2, 1) is divided in the ratio 1 : 3 at point P in it. Find the co-ordinates of P. Also, find the equation of the line through P and perpendicular to the line 5x – 3y = 4.
A straight line passes through the point (3, 2) and the portion of this line, intercepted between the positive axes, is bisected at this point. Find the equation of the line.
The equation of a line is 3x + 4y – 7 = 0. Find:
- the slope of the line.
- the equation of a line perpendicular to the given line and passing through the intersection of the lines x – y + 2 = 0 and 3x + y – 10 = 0.
The line segment formed by the points (3, 7) and (-7, z) is bisected by the line 3x + 4y =18. Find the value of z.
Find the value of a line parallel to the following line:
`(3"y")/4 + (5"y")/2 = 7`
Find the equation of a straight line which cuts an intercept – 2 units from Y-axis and being equally inclined to the axis.
