Question 2 :
For what value of k does the system of equations$\displaystyle 2x+ky=11\:and\:5x-7y=5$ has no solution?
Question 4 :
Solve the equations using elimination method:<br>$2x + 3y =15$ and $3x + 3y = 12$
Question 5 :
State the following statement is True or False<br>35.251252253...is an irrational number<br>
Question 6 :
State true or false. $\sqrt { 3 } + \sqrt { 4 }$ is an rational number.
Question 7 :
State true or false of the following.<br>The predecessor of a two digit number cannot be a single digit number.<br>
Question 9 :
$\displaystyle \propto \& \beta $ are the roots of equation<br/>$\displaystyle 3{ x }^{ 2 }+3x+3=0$, then $\displaystyle \frac { 1 }{ \propto  } +\frac { 1 }{ \beta  } $<br/>
Question 10 :
If $p$ and $q$ are the roots of the equation $ax^2 +bx +c =0$, then the value of $\dfrac {p}{q}+\dfrac {q}{p}$ is<br/>
Question 12 :
Which one of the following condition will satisfy the zero product roots of the equation $(x - a)(x - b)$?<br>
Question 13 :
Construct a quadratic in x such that A.M. of its roots is A and G.M. is G.
Question 14 :
What is the function for the arithmetic sequence $3, 4, 5, 6, 7...?$<br/>
Question 15 :
The sum of first ten terms of a AP is four times the sum of its first five terms. Then ratio of first term and common difference is  
Question 16 :
The sum of $n$ terms of an arithmetic series is $S_n = 2n - n^2$. Find the first term and the common difference.
Question 17 :
A tangent to a circle is a line that intersects the circle in only one point.
Question 18 :
The tangent to a circle is ..... to the radius through the point of contact.
Question 19 :
An isosceles triangle has vertices at (4,0), (-4,0), and (0,8) The length of the equal sides is
Question 20 :
If $P(2, 2), Q(-2, 4)$ and $R(3, 4)$ are the vertices of $\Delta PQR$ then the equation of the median through vertex R is _______.
Question 21 :
If $A+B+C=\dfrac { 3\pi }{ 2 } $, then $cos2A+cos2B+cos2C$ is equal to
Question 22 :
$\tan 5^{\circ} \tan 25^{\circ} \tan 30^{\circ} \tan 65^{\circ} \tan 85^{\circ} =$
Question 24 :
The sides of a triangle are given below. Check whether or not the sides form a right angled triangle.$50cm, 80cm, 100cm$
Question 25 :
$4\, RN^{2}\, =\, PQ^{2}\, +\, 4\, PR^{2}$<br/><b>State whether the above statement is true or false.</b><br/>
Question 26 :
Two triangles ABC and PQR  are similar, if $BC : CA : AB = $1: 2 : 3, then $\dfrac{QR}{PR}$ is<br/>