Question 1 :
Which of the following lines are parallel to $x = 2y$?
Question 2 :
The straight line $x+y-1=0$ meets the circle $x^2+y^2-6x-8y=0$ at A and B. Then the equation of the circle of which AB is a diameter is
Question 3 :
Slope of the line perpendicular to the line with equation $y=6x+7$ is _____
Question 5 :
Equation of the line perpendicular to $x-2y=1$ and passing through $(1,1)$ is
Question 6 :
Which of the following lines is parallel to the line $3x - 2y + 6 = 0$?
Question 7 :
The equation of a line through $(2, -3)$ parallel to y-axis is
Question 8 :
'Lines are parallel if they do not intersect' is stated in the form of
Question 9 :
The equation of the bisector of the angle between the lines $3x-4y+7=0$ and $12x+5y-2=0$
Question 10 :
What is the equation of a line that passes through the point $(4, -5)$ and is parallel to $3x + 2y = 12$?
Question 11 :
If the straight line passing through the points $(h,3)$ and $(4,1)$ intersects the line $7x-9y-19=0$ at right angle, then find the value of $h$.
Question 12 :
The slope of the line passing through the points $B(0,-5)$ and $D(1,2)$ is
Question 14 :
If the straight lines $ \displaystyle a_{1}x+b_{1}x+c_{1}=0 $ at $ \displaystyle a_{2}x+b_{2}y+c_{2}=0 $ are perpendicular to each other, then
Question 15 :
The line joining $(-1,0) $ and $(-2, \displaystyle -\sqrt{3} )$ makes with the $x$-axis an angle equal to
Question 16 :
Two lines are parallel if and only if their slopes are:<br/>
Question 20 :
If the two straight lines $\displaystyle y= m_{1}x + c_{1}$ and $\displaystyle y= m_{2}x + c_{2}$ are perpendicular to each other then $\displaystyle m_{1}m_{2}= $ _____________
Question 21 :
If the expression $ \displaystyle (x+y)^{-1}. (x^{-1}+y^{-1})(xy^{-1}+x^{-1}y)^{-1} $ is simplefied it takes the form of which one of the following ?
Question 22 :
The two straight lines $a_1x+b_2y+c_2=0$ and $a_2x+b_2y+c_2z=0$ will be parallel to each other, if
Question 23 : <span>Classify the following pair of lines as coincident, parallel or intersecting</span><div>$x + 2y + 1 = 0$ & $2x + 4y + 3 = 0$</div>
Question 24 :
One line passes through the points $(1,9)$ and $(2,6)$ another line passes through $(3, 3)$ and $(-1, 5)$ The acute angle between the two lines is
Question 25 :
The two straight lines $4x - y + 3 = 0$ and $8x - 2y + 6 = 0$
Question 26 :
Two lines are given by $(x-2y)^2 + k (x -2y) = 0$. The value of $k$ so that distance between them is $3$, is
Question 27 :
Find the equation of the line parallel to the line whose equation is y = 6x + 7 and whose y-intercept is 8
Question 28 :
The graph of the equation $x= b$ is also a straight line parallel to _____
Question 29 :
The line making an angle $\left( -{ 120 }^{ o } \right) $ with $x$-axis is situated in the :
Question 30 :
The slopes of two line segments are equal. Which of the following is correct?
Question 31 :
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 32 :
A value of $k$ such that the straight lines $y-3x+4=0$ and $(2k-1)x-(8k-1)y-6=0$ are perpendicular is
Question 33 :
Equation of line parallel to x-axis and at a distance of $2$ units above the origin is:
Question 34 :
The slope of the line passing through the points $M\left( 4,0 \right)$ and $N\left( -3,-2 \right)$ is
Question 35 :
The lines $a _{1} \cos\theta + b_{1}\sin\theta + \dfrac{c_{1}}{r}= 0$ and $a _{2} \cos\theta + b_{2}\sin\theta + \dfrac{c_{2}}{r}= 0$ are parallel to each other then<br>
Question 37 :
<span>The equation of the line passing through point </span>$P(-2, -3)$ and slope $\displaystyle m=\cfrac{3}{5}$ is<br/>
Question 38 :
What is the slope of the line 3x + 2y + 1 = 0?
Question 39 :
<span>The equation of the line passing through point </span>$P(0, 6)$ and slope $\displaystyle m=\cfrac{6}{7}$ is,<br/>
Question 40 :
Slope of the line passing through the points $ P\left( 1,-1 \right)$ and $Q\left( -2,5 \right)$ is
Question 42 :
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 43 :
The point $\left(2,3\right)$ is first reflected in the straight line $y = x$ and then translated through a distance of 2 units along the positive direction $x-axis$. The coordinates of the transformed point are<span><br></span>
Question 44 :
The value of $k$ for which the lines $2x + 3y + a = 0$ and $5x + ky + a = 0$ represent family of parallel lines is
Question 45 :
What is the equation of a line that is parallel to y = -4 and passes through the point (3,7)?
Question 46 :
Find the equation of line(s) which passes through the point $(22,-6)$ and whose intercept on the x-axis exceeds the intercept on y-axis by 5
Question 47 :
If the line a$x + by + c = 0$ is such that $a = 0$ and $b$, $c$ $\neq $ 0, then the lines is perpendicular to ?
Question 48 :
Which one of the following is correct in respect of the equations $\displaystyle\frac{x-1}{2}=\frac{y-2}{3}$ and $2x+3y=5$?
Question 49 :
The slope of the line $AB$ passing through the points $A(-2,3)$ and $B(8,-5)$ is
Question 50 :
If the straight line $ax + by + p =0$ and $ xcos \alpha + ysin \alpha =p$ enclosed an angle of $\dfrac{\pi}{4}$ and the line $xsin \alpha - ycos \alpha =0$ meets them at the same point , the $a^2+b^2$ is
Question 51 :
The value of '$a$' so that the curves $y = 3e^x$ and $y = \dfrac{a}{3}e^{-x}$ are perpendicular to each other:
Question 52 :
The slope of any line which is perpendicular to the $x$-axis is .......... .
Question 54 :
Fill in the blank using correct alternative. <br/>Seg AB is parallel to Y-axis and coordinates of point A are (1,3) then co-ordinates of point B can be.......
Question 55 :
The line represented by the equation $ y = -2x + 6$ is the perpendicular bisector of the line <span>segment AB. If A has the coordinates (7,2), what are the coordinates for B ?<br/></span>
Question 56 :
The angle made by the line $\sqrt 3x-y+3=0$ with the positive direction of X-axis is
Question 57 :
If the equations of the sides of a triangle are $x+y=0,$ and $\sqrt { 3 } y+x=0,$ then which of the following is an exterior point of the triangle?
Question 58 :
Let ${ m }_{ 1 }$ be the slope of the line containing the points $(3,5)$ and $(6,10)$. Let there be another line with slope ${ m }_{ 2 }$ such that ${ m }_{ 1 }\times { m }_{ 2 }=-1$. Find the equation of the other line.
Question 59 :
The slope of the line, $l_{2}$ is $5$ and $l_{1}$ and $l_{2}$ are parallel. Find the slope of $l_{1}$<br/>
Question 60 :
The quadrilateral $ABCD$ formed by the point $A(0, 0)$; $B(3, 4);$ $C(7, 7)$ and $D(4, 3) $ is a
Question 61 :
The slope of the line joining $(1, 2) $ and $(1, 3)$ is ____
Question 62 :
If the angle between the lines $ {k} {x}- {y}+6=0,\ 3 {x}-5 {y}+7=0$ is $\displaystyle \frac{\pi}{4},$ then one of the value of $ {k}=$ <br/>
Question 63 :
The angle between the line x+y=3 and the line joining the points (1,1) and (-3,4) is
