Question 1 :
Find the value of k for which the distance between the points $A(3k,4)$ and $B(2,k)$ is $5\sqrt { 2 }$ units.<br/>

Question 2 :
If the midpoint of the line segment joining the points (-7, 14) and (k, 4) is (a, b) where 2a + 3b = 5. Find the value of k.

Question 3 :
<i></i>If the coordinates of opposite vertices of a square are $(1,3)$ and $(6,0)$, the length if a side od a square is&#160;

Question 4 :
The first and last terms of an A.P of n terms is 1, 31 respectively. The ratio of $8^{th}$ term and $(n-2)^{th}$ term is 5:9, the value of n is:<br>

Question 5 :
The sum of $n$ terms of an A.P. is $4n^2-n$. The common difference $=$ ____

Question 6 :
Let $a_1, a_2, a_3,...,a_n$ be in A.P. If $a_3+a_7+a_{11}+a_{15}=72$, then the sum of its first $17$ terms is equal to.

Question 7 :
If the ratio of the roots of equation$\displaystyle x^{2}+px+q=0$ be equal to the ratio of the roots of$\displaystyle x^{2}+lx+m=0$ then

Question 8 :
If the roots of the equation&#160; $ \dfrac { { 1 } }{ x+p } +\dfrac { 1 }{ x+q } =\dfrac { 1 }{ r } $ are equal in magnitude but opposite in sign, then which of the following are true?<br/>

Question 9 :
If $\alpha$, $\beta$ are the roots of the equation $a{ x }^{ 2 }+bx+x=0$, then the roots of the equation $\left( a+b+c \right) { x }^{ 2 }-\left( b+2c \right) x+c=0$ are

Question 11 :
<table class="wysiwyg-table"><tbody><tr><td>Class</td><td>0-10</td><td>10-20</td><td>20-30</td><td>30-40&#160;&#160;</td><td>40-50</td></tr><tr><td>Frequency</td><td>5</td><td>$x$</td><td>15</td><td>16</td><td>6</td></tr></tbody></table>The missing frequency marked $\displaystyle x$ of the above distribution whose mean is 27 is :&#160;