Question 2 :
What is the value of k, if the line $\displaystyle 2x-3y=k$ passes through the origin.
Question 3 :
The length of the segment of the straight line passing through $(3,3)$ and $(7,6)$ cut off by the coordinate axes is
Question 4 :
If $A(5, 3)$, $B(11, -5)$ and $P(12, y)$ are the vertices of a right angled triangle, right angled at P, then $y$ is ______.<br/>
Question 5 :
What point on y-axis is equidistant from the points $(3,1)$ and $(1,5)$?<br>
Question 6 :
The points $(k, 3), (2, -4)$ and $(-k + 1, -2)$ are collinear, find $k$.
Question 7 :
Ten different letter of an alphabet are given. Words with five letters are formed from these given letters. Then the number of words which have at least one letter repeated is:
Question 8 :
In a class there are 18 boys who are over 160 cm tall If these constitute three-fourths of the boys and the total number of boys is tow-third of the total number of students in the class what is the number of girls in the class?
Question 9 :
How many different signals can be transmitted by arranging 3 red, 2 yellow and 2 green flags on a pole? [Assume that all the 7 flags are used to transmit a signal].
Question 10 :
Let x.y.z$=$105 where $ x, y, z \in N $. Then number of ordered triplets (x, y, z) satisfying the given equation is
Question 11 :
$4$ buses runs between Bhopal and Gwalior. If a man goes from Gwalior to Bhopal by a bus and comes back to Gwalior by another bus, then the total possible ways are
Question 12 :
In a three-storey building, there are four rooms on the ground floor, two on the first and two on the second floor. If the rooms are to be allotted to six persons, one person occupying one room only, the number of ways in which this can be done so that no floor remains empty is<br>