Q. 1. Find the value of p for which 
gives two equal roots.
Q. 2. Find the sum of the first 100 terms following arithmetic progression 1 +3 + 5 + 7 + ……………
Q. 3. Find the sum of first ten natural numbers.
Q. 4. Find the zeros of the following quadratic polynomial 
Q. 5. Find the discriminant of the quadratic equation 
and hence find the
nature of its roots.
Q. 6. Is 184 a term of the sequence 3, 7, 11,…… ?
Q. 7. Find the zeros of the following quadratic polynomial 
Q. 8. A sum of Rs 400 is to be used to award five prizes. If each prize after the first is Rs 20 less than its preceding prize, find the value of each of the prizes.
Q. 9. The sum of two numbers is 15 and sum of their reciprocals is 
. Find the numbers.
Q. 10. Find the roots of
by the method of completing the squares.
Q. 11. Show that the progression 7,2,--3,--8,….. is an A.P. Find its nth term and its 16th
Q. 12. A train covers a distance of 300 Km at a certain average speed . If its speed
were decreased by 10 km/hour, the journey would take one hour longer What is
the average speed of the train?
