Question 1 :
Find the distance between the lines 3x + y - 12 = 0 and 3x + y - 4 = 0
Question 2 :
If $A(3, 5), B (-5, -4), C (7, 10)$ are the vertices of a parallelogram, taken in the order, then the coordinates of the fourth vertex are
Question 3 :
'Lines are parallel if they do not intersect' is stated in the form of
Question 4 :
A line AB is parallel to the line CD This is symbolically written as
Question 5 :
What is the slope of the line 3x + 2y + 1 = 0?
Question 6 :
Find the equation of the straight line with a slope of 3 and a y-intercept of 1
Question 7 :
The slope of the line passing through the points $A(-2, 1)$ and $B(0, 3)$ is:<br/>
Question 8 :
The slope of the line joining the point (-8,-3)and (8,3) is
Question 9 :
Two lines are parallel if and only if their slopes are:<br/>
Question 10 :
Find the equation of the line with slope of 2 and y-intercept of -3
Question 11 :
Find the equation of the line parallel to the line whose equation is y = 6x + 7 and whose y-intercept is 8
Question 12 :
Equation of line parallel to x-axis and at a distance of $2$ units above the origin is:
Question 13 :
The slopes of two line segments are equal. Which of the following is correct?
Question 14 :
What is the equation of a line that passes through the point $(4, -5)$ and is parallel to $3x + 2y = 12$?
Question 15 :
Which of the following is perpendicular to the line x/3 + y/4 = 1?
Question 16 :
If points (h, k) $(1, 2)$ and $(-3, 4)$ lie on line $L_1$ and points (h, k) and $(4, 3)$ lie on $L_2$. If $L_2$ is perpendicular to $L_1$, then value of $\dfrac{h}{k}$ is?
Question 17 :
Two points of a line are given below. The equation of the line is:$G(0, 2), H(-3, -1)$<br/>
Question 18 :
When the Y-coordinates of two points lying on a line are non-zero and equal, and the X-coordinates are unequal, then :
Question 19 : <p>If point $ P (a, b)$lies on the straight line $3x + 2y-16 = 0$ and the point $Q (b, a)$ lies on the straight line $4x - y - 5=0$. The equation of the line $PQ$ is</p>
Question 20 :
The length of the segment of the straight line passing through $(3,3)$ and $(7,6)$ cut off by the coordinate axes is
Question 21 :
For each of the equations given below, find the the slope and the y-intercept :$\displaystyle 4y+9=0$<br/>
Question 22 :
Find the distance between the following pair of points.<br/>$(-3, 2)$ and $(2, 0)$
Question 23 :
The orthocentre of the triangle $ABC$ is $B$ and the circumstances is $S(a,b)$. If $A$ is the origin, then the coordinates of $C$ are:
Question 25 :
The slope of the line passing through the points $M\left( 4,0 \right)$ and $N\left( -3,-2 \right)$ is
Question 26 :
Statement-I : Inclination and Slope of a Line give an indication of the Length of that Line.<br>Statement-II : Inclination and Slope of a Line give an indication of the Direction of that Line.<br>Choose the correct Alternative.
Question 27 :
Given a line and a point, not on the line, there is one and only ...... line which passes through the given point and is ..... to the given line.<br/>
Question 28 :
The equation of a line that intercepts the x-axis x = 4 and the y-axis at y = -6 is
Question 29 :
The $x$ and $y$ intercepts of the following line is:$3y - 2x + 5 = 0$<br/>
Question 30 :
Slope of the line passing through the points $ P\left( 1,-1 \right)$ and $Q\left( -2,5 \right)$ is
Question 31 :
What is the maximum positive value that slope of a line can take?
Question 32 :
The slope and  the y-intercept  of the given line, $2x-3y = 7$ are respectively,
Question 34 :
$ax + by + c = 0$ does not represent an equation of line if ____.<br>
Question 36 :
The slope-intercept form of the equation $x + 2y - 4 = 0$ is<br/>
Question 37 :
The equations of line AB and line PQ are y = $-\frac{1}{2}x$ and y=2x respectively. Find the measure of angle $\angle$ BOQ which is formed by intersection of line AB and line PQ. (Point P and point A are in first and second quadrant respectively)
Question 39 :
The length of the diagonal of rectangle ABCD formed by A(2,-2), B(8,4), C(5,7) and D(-1,1) is
Question 40 :
The slope and $y$-intercept of the following line are respectively$5x-8y =-2$<br/>
Question 42 :
The pair of linear equations 2x + 5y = 3 and 6x + 15y = 12 represent
Question 43 :
The distance between the graphs of the equations $y = -1$ and $y =3$ is
Question 44 :
Find the equation of a straight line whose slope is $-3$ and y-intercept is $4$.<br/>
Question 45 :
The middle point of the line segment joining $ (3 , 1) $ and $ (1 , 1) $ is shifted by two units ( in the sense increasing y) perpendicular to the line segment. Then the coordinates of the point in the new position is
Question 46 :
Equation of the straight line making equal intercepts on the axes and passing through the point $(2, 4)$ is:
Question 47 :
A point R (2,-5) divides the line segment joining the point A (-3,5) and B (4,-9) , then the ratio is
Question 48 :
The number of points on the line $x+y=4$ which are unit distance apart from the line $2x+2y=5$ is
Question 49 :
The value of "c" if the line $x+4y=9$ pases through $(5,c)$
