The distance of the point (1, 3) from the line 2x + 3y = 6, measured parallel to the line 4x + y = 4, is
units
units
units
D.
The equation of a straight line .which cuts off an intercept of 5 units on negative direction of y-axis and makes an angle 120° with positive direction of x-axis is :
The equation of the line passing through the point (2, 3) and the point of intersection of lines 2x - 3y + 7 = 0 and 7x + 4y + 2 = 0 is :
21x + 46y - 180 = 0
21x - 46y + 96 = 0
46x + 21y - 155 = 0
46x - 21y - 29 = 0
A straight line intersects x and y axes at P and Q respectively. If (3, 5) is the middle point of PQ, then what is the area of the triangle OPQ ?
12 square units
15 square units
20 square units
30 square units
Consider the lines
y = 3x, y = 6x and y = 9
What is the area of the triangle formed by these lines ?
square units
square units
square units
square units
Consider the lines
y = 3x, y = 6x and y = 9
The centroid of the triangle is at which one of the following points ?
(3, 6)
(3, 3)
Consider the two lines
x + y + 1 = 0 and 3x + 2y + 1 = 0
What is the equation of the line passing through the point of intersection of the given lines and parallel to x -axis ?
y + 1 = 0
y - 1 = 0
y - 2 = 0
y + 2 = 0
Consider the two lines
x + y + 1 = 0 and 3x + 2y + 1 = 0
What is the equation of the line passing through the point of intersection of the given lines and parallel to y-axis
x + 1 = 0
x - 1 = 0
x - 2 = 0
x + 2 = 0
Consider the equation
If the equation possesses solution, then what is the minimum value of k ?
1
2
4
6
Consider a parallelogram whose vertices are A(1, 2), B(4, y), C(x, 6) and D(3, 5) taken in order
What is the value of AC2 - BD2 ?
25
30
36
40