Question 1 :
A transversal intersects two parallel lines. if the measure of one of the angle is ${50^0}$, then the measure of its corresponding angle is ................
Question 2 :
State the following statement is True or False<br>If two parallel lines are cut by transversal, then the pair of alternate interior angles are not equal
Question 3 :
$\Delta ABC$ is a right angled at A, the value of tan B $\times$ tan C is:<br/>
Question 4 :
ABC is a triangle with base BC and $\angle ABC=60^\circ$.Through A, a straight line PQ is drawn parallel to BC . If $\angle QAC=55^\circ$, Find the measure of $\angle BAC$ and $\angle ACB$.
Question 5 :
An exterior angle of a triangle is equal to the sum of two ______ opposite angles.<br/>
Question 6 :
If a transversal intersects a pair of lines in such a way that the sum of interior angles on the same side of transversal is $180^o$, then the lines are <br/>
Question 8 : <div><span>State true or false:</span><br/></div><div><span>Two lines parallel to the same line are parallel to each other.</span><br/></div>
Question 9 :
In a $\triangle ABC$, the sides AB and AC have been produced to D and E. Bisectors of $\angle CBD$ and $\angle BCE$ meet at O. If $\angle A={ 64 }^{ 0 }$, then $\angle BOC$ is
Question 10 :
Which of the following pairs is pair of interior formed by two parallel lines and on the same side of the transversal?
Question 12 :
In $\Delta ABC$, if $\angle A+\angle B=90^{\circ}$, cot $B=\dfrac{3}{4}$, then the value of tan A is :<br/>
Question 13 :
The value of $k$ for which the pair of linear equations $4x+6y-1=0$ and $2x+ky-7=0$ represents parallel lines is:
Question 15 :
The pair of linear equations px + 2y - 5 = 0 and 3x + y - 1 = 0 has unique solution if
Question 16 :
For every line $l$ and for every point $P$ (not on $l$), there exists a unique line passing through $P$:
Question 17 :
Lines $m$ and $n$ are cut by a transversal so that $\angle 1$ and $\angle 5$ are corresponding angles. If $\angle 1=26x-{7}^{o}$ and $\angle 5=20x+{17}^{o}$. What value of $x$ makes the lines $m$ and $n$ parallel?
Question 18 : <div><span>State true or false:</span><br/></div><div><span>Two distinct intersecting lines cannot be parallel to the same line.</span><br/></div>
Question 19 :
Lines $m$ and $n$ are cut by a transversal so that $\angle 1$ and $\angle 5$ are corresponding angles. If $\angle 1=26x-{7}^{o}$ and $\angle 5=20x+{17}^{o}$. What value of $x$ makes the lines $m$ and $n$ parallel?
Question 20 :
If $2x + 3y + 4 = 0$ & $\lambda x + ky + 2 = 0$ are identical lines then $3\lambda - 2k = $
Question 21 :
Find the measure of the alternate angle of the angle of measure of ${65^0}$.
Question 22 :
The point of the hyperbola $y = \dfrac {x - 1}{x + 1}$ at which the tangents are parallel to $y = 2x + 1$ are
Question 23 :
The value of m for which the pair of linear equation 4x + 6y - 1 = 0 and 2x + my - 7 = 0 represents parallel lines is
Question 24 :
A transversal intersects two parallel lines. if the measure of one of the angle is ${50^0}$, then the measure of its corresponding angle is ................
Question 25 :
If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2 : 3, then the smaller of two angles is :<br/>
Question 26 :
The angles of a triangle are in the ratio 2: 1: 3. Is the triangle right-angled triangle,
Question 27 : <div>State true or false.</div>The sum of interior angles of a triangle is ${ 180 }^{ \circ }$.
Question 28 :
In a $\triangle ABC$, $\angle A - \angle B = 30^{\circ}$ and $ \angle B -\angle C = 42^{\circ}$; find $\angle A$.
Question 29 :
If $l, m$ and $n$ be three distinct lines such that $l || m$ and $l || n$, then ____.
Question 30 :
If two angles are formed on a straight line, then what may be the combination of angles?
Question 31 :
If the lines given $3x+2ky=2$ and $2x+5y+1=0$ are parallel, then the value of $k$ is:
Question 32 : State true or false:<div>If two parallel lines are intersected by a transversal, then the interior angles on the same side of the transversal are supplementary <br/></div>
Question 33 :
A line AB is parallel to the line CD This is symbolically written as
Question 34 :
A line which intersects two or more lines at different points is:
Question 36 :
State the following statement is True or False<br/>The corresponding angle converse theorem states that :<br/>If two parallel lines are cut by Transversal then the pair of corresponding angles are congruent
Question 37 :
The number of points on the line $x+y=4$ which are unit distance apart from the line $2x+2y=5$ is
Question 38 :
The pair of linear equations 2x + 5y = 3 and 6x + 15y = 12 represent
Question 39 :
The equation of line parallel to x-axis and 3 units above the origin is
Question 40 :
Two distinct _____ in a plane cannot have more than one point in common.
Question 41 :
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 42 :
If two lines are intersected by a transversal, then each pair of corresponding angles so formed is :<br/>
Question 43 :
State the following statement is True or False<br>If two parallel lines are cut by transversal, then the pair of alternate interior angles are not equal
Question 44 :
$\overline {PQ}$ is perpendicular to $\overline {RS}$ is symbolically written as ______.
Question 45 :
Find the measure of the alternate angle of the angle of measure of ${65^0}$.
Question 46 :
If two parallel lines are intersected by a transversal, then alternate interior angles are equal.<br/>
Question 47 :
State whether the following statement is True or False.<br/>If two lines intersect each other,then the vertically opposite angles are equal.
Question 48 :
If the angles of a triangle are in the ratio 2:3:4, find the three angles.<br/>
Question 49 :
Out of the three lines AB, CD and EF, if AB is parallel to EF and CD is also parallel to EF, then what is the relation between AB and CD?<br>
Question 50 :
Two angles, which have their arms parallel are either____ or ____.<br/>
Question 51 :
The set of values of $\mathrm { b } $ for which the origin and the point $( 1,1 )$ lie on the same side of the straight line, $a ^ { 2 } x + a b y + 1 = 0 \forall a \in R , b > 0$ are:
Question 52 :
In. triangle ABC,$\angle A$ + $\angle B$ = 144 and$\angle A$ + $\angle C$ = 124.<br>Calculate smallest angle of the triangle.<br>
Question 53 :
Three lines intersect at a point generating six angles. If one of these angles is ${90}^{o}$, then the number of other distinct angles is:
Question 55 :
If two lines are cut by a transversal,<span> then each pair of alternate interior angles are equal.</span><br>
Question 56 :
Vertically opposite angles are both same type of angles.(either acute, obtuse or right angles.)
Question 57 :
Select the correct alternative and fill in the blank in the following statement.<br>If a transversal intersects two parallel lines then sum of interior angles on the same side of the transversal is ........
Question 58 :
If two parallel lines are cut by a transversal, then each pair of corresponding angle are _______.
Question 59 :
The joint equation of the pair of lines through (3, 2) and parallel to the lines $x = 2$ & $y = 3$ is:<span><br></span>
Question 60 :
If two parallel lines are cut by a transversal, then each pair of corresponding angle are _______.
Question 61 :
The distance of the point $(3, 5)$ from $2x + 3y - 14 = 0$ measured parallel to $x - 2y = 1$ is
Question 62 :
<span>Investigate for what values of $\lambda, \mu$ the simultaneous equation $x+y+z=6; x+2y+3z=10$ & $x+2y+\lambda z=\mu$ have a</span> unique solution<br/>
Question 63 : Consider the following statements relating to 3 lines $L_1$, $L_2$ and $L_3$ in the same plane<br/>(1). If $L_2$ and $L_3$ are both parallel to $L_1$, then they are parallel to each other.<br/>(2). If $L_2$ and $L_3$ are both perpendicular to $L_1$, then they are parallel to each other.<br/>(3). If the acute angle between $L_1$ and $L_2$ is equal to to acute angle between $L_1$ and $L_3$, then $L_2$ is parallel to $L_3$.<br/><div>Of these statements:<br/></div>
Question 64 :
A transversal intersects two or more than two lines at _________ points.
Question 65 :
Given lines $\frac{x-4}{2} = \frac{y+5}{4}=\frac{z-1}{-3}$ and $\frac{x-2}{1}=\frac{y+1}{3}=\frac{z}{2}$<br>Statement 1 : The lines intersect.<br>Statement 2: They are not parallel
Question 66 :
In $\Delta ABC$. If $x=\tan\left(\dfrac{B-C}{2}\right)\tan\dfrac{A}{2}, y=\tan\left(\dfrac{C-A}{2}\right)\tan\dfrac{B}{2}, z=\tan\left(\dfrac{A-B}{2}\right)\tan\dfrac{C}{2}$, then $x+y+z$ (in terms of $x,y,z$ only) is
Question 67 : <div><span>State true or false:</span><br/></div>If two lines intersect and if one pair of vertically opposite angles is formed by acute angles, then the other pair of vertically opposite angles will be formed by obtuse angles.<br/>
Question 68 :
The lines $x \cos \alpha + y \sin \alpha = p _ { 1 }$ and $x \cos \beta + y \sin \beta = p _ { 2 }$ will be perpendicular, if
Question 69 :
If two lines are intersected by a transversal, then the number of pairs of interior angles on the same side of transversal is<br><br>
Question 70 :
Line A is parallel to line B , line C is perpendicular to line A, Line D is perpendicular to line A.Which statement below must also be true ?
Question 71 :
Line $l$, line m, and point P lie in a plane such that $ l $|| $m$ and $P$ is between $ l $ and $m$. If line $t$ in the same plane passes through point $P$, which of the following could be true?<br/>I.$ t$ intersects $ l $ but not $m$.<br/>II. $t$ intersects both $ l $ and m.<br/>III. $t$ does not intersect either $ l $ or $m$.
Question 72 :
A line $AB$ is parallel to the line $CD$. <br/>This is symbolically written as:
Question 75 :
$A$ line $AB$ is parallel to the line $CD$. This is symbolically written as
Question 77 :
If two lines are cut by a transversal,<span> then each pair of corresponding angles are equal.</span><br>
Question 78 :
Lines PQ and RS intersect at O. If $\angle POS = 2 \angle SOQ$, then the four angles at O are:<br/>
Question 79 :
The distance between the lines $\displaystyle 5x-12y+65=0$ and $\displaystyle 5x-12y-39=0$ is<br>
Question 80 :
The line which is parallel to $x$-axis and crosses the curve $y=\sqrt { x } $ at an angle of ${ 45 }^{ o }$, is
Question 81 :
Equation of the line which is perpendicular to $9x-5y+6=0$and passing through $(-6,6)$ is
Question 82 :
Two diameters AB and CD of a circle bisect at O. If BD = 60$^o$, then m (BC) is
Question 85 :
Vertically opposite angles do not from a linear pair but are always equal.
Question 86 :
The angle between the lines $x+y-3=0$ and $x-y+3=0$ is $\alpha$ and the acute angle between the lines $x-\sqrt { 3y } +2\sqrt { 3 } =0$ and $\sqrt { 3x } -y+1=0$ is $\beta $. Which one of the following is correct?
Question 87 :
If l and m are intersecting lines, $l\! \parallel \! p \:and \:m\! \parallel \! q$, then which of the following statements is true?<br/>
Question 88 :
Consider the lines $\frac{x}{2} = frac{y}{3} = frac{z}{5}$ and $\frac{x}{1} = frac{y}{2} = frac{z}{3}$, then the equation of the line which
