Q. 1. Find the value of p for which the& equation: 
has two equal roots.
Q. 2. Find the discriminant of the quadratic equation 
and hence find the nature of its roots.
Q. 3. Find the sum and product of zeroes of the polynomial 
Q. 4. If -4 is root of the quadratic equation
find the value of p
Q. 5. For what value of k will the following system of linear equations have infinite solution
, 
Q. 6. Solve for x and y:
, 
Q. 7. Find two consecutive numbers, whose sequence have the sum 85.
Q. 8. solve for x:
Q. 9. How many numbers of two digits are divisible by 7.
Q. 10. Divide:
Q. 11. Solve the following equations graphically 
img src="images/maths_21_clip_image026. 
Shade the region between the two lines and x-axis.
Q. 12. If five times the fifth term of an A.P. is equal to 8 times its eighth term, show that its 13thterm is zero
Q. 13. A class consists of a number of boys whose ages are in A.P., the common difference being 4 months .Ifthe youngest boy is just eight years old and if sum of the ages is 168 years, find the number of boys in the class.
Q. 14. Ram can row a boat 8 km downstream and return in 1 hour 40 minutes. If the speed of the stream is 2 km/hour , find the speed of the boat in still water.
