Question 2 :
Vertically opposite angles do not from a linear pair but are always equal.
Question 3 :
Two supplementary angles are in ratio $4:5$. Find the measure of greater angle.
Question 4 :
In a pair of adjacent angles, (i) vertex is always common, (ii) one arm is always common, and (iii) uncommon arms are always opposite rays<br>Then
Question 6 :
Mark the correct alternative of the following.<br>If the measures of the angles of a triangle are $(2x-5)^o, \left(3x-\dfrac{1}{2}\right)$ and $\left(30-\dfrac{x}{2}\right)$, then $x=?$<br>
Question 7 :
The distance of point $\left(1,0,2\right)$ from the point of intersection of the line $\dfrac{x-2}{3}=\dfrac{y+1}{4}=\dfrac{z-2}{12}$ and the plane $x-y+z=16$ is
Question 9 :
Lines PQ and RS intersect at O. If $\angle POR$ is three times$\angle ROQ$, then$\angle SOQ$ is
Question 11 :
Mark the correct alternative of the following.<br>The angles of a triangle are in the ratio $2:3:7$. The measure of the largest angle is?<br>
Question 12 :
The angles are adjacent and form an angle of $140 ^ { \circ }$ . The smaller is $28$ $^ { \circ }$ less than the larger.
Question 13 :
Assertion: If two lines intersect, then the vertically opposite angles are equal.
Reason: If a transversal intersects, two other parallel lines, then the sum of two interior angles on the same side of the transversal is $180^o$.
Question 14 :
If two line $L_1$ and $L_2$ in space,are defined by<br>$\begin{array}{l}{L_1} = \left\{ {x = \sqrt \lambda y + \left( {\sqrt \lambda - 1} \right),z = \left( {\sqrt \lambda - 1} \right)y + \sqrt \lambda } \right\}and\\{L_2} = \left\{ {x = \sqrt \mu y + \left( {1 - \sqrt \mu } \right),z = \left( {1 - \sqrt \mu } \right)y + \sqrt \mu } \right\}\end{array}$, <br>then $L_1$ is perpendicular to $L_2$ for all non-negative reals $\lambda $ and $\mu $, such that:<br><br>
Question 15 :
Find the equation of a line, which has the y intercept 4, and is parallel to the line $\displaystyle 2x-3y=7$. Find the co-ordinates of the point, where it cuts the x-axis.
Question 16 :
The angle that is three times as large as its complement is:<br/>
Question 17 :
Vertically opposite angles are both same type of angles.(either acute, obtuse or right angles.)
Question 18 :
if the two pair of lines $2 x ^ { 2 } + 6 x y + y ^ { 2 } = 0$ and $4 x ^ { 2 } + 18 x y + b y ^ { 2 } = 0$ are equally inclined,then $b$ is equal to<br/>
Question 21 :
The lines represented by $ 2 x+3 y-9=0 $ and $ 4 x+6 y-18=0 $ are
Question 22 :
If two parallel lines are cut by a transversal, then each pair of corresponding angle are _______.
Question 23 :
The measure of an angle which is 5 times its supplement is
Question 25 :
Mark the correct alternative of the following.<br>If the measures of the angles of a triangle are $(2x)^o, (3x-5)^o$ and $(4x-13)^o$. Then the value of x is?<br>
Question 26 :
Assertion: If two lines intersect, then the vertically opposite angles are equal.
Reason: If a transversal intersects, two other parallel lines, then the sum of two interior angles on the same side of the transversal is $180^o$.
Question 27 :
The measure of an angle which is four times its supplementary angle is:
Question 29 :
The line parallel to the x-axis and passing through the intersection of the lines ax+2by+3b=0 and bx-2ay-3a=0, where $(a,b)$
Question 30 :
Vertically opposite angles do not from a linear pair but are always equal.