Q. 1. Write the nature of the roots of the following quadratic equations. 
Q. 2. The sum of two natural number is 8. Sum of their receprocal is 8/15 , express this statement in the form of quadratic equation.
Q. 3. If one root of the quadratic equation 2x2 + px – 4 = 0 is 4. Write value of p.
Q. 4. Find the value of p if 4x2 – 3px + 9 = 0 has real roots.
Q. 5. For what value of k, the quadratic equation (k +1)x2 – 2 (k – 1)x + 1 = 0 , has equal roots.
Q. 6. Find the roots of the following equation by
factorization
Q. 7. Find the roots of the following quadratic equation if they exits, by the method of completing square . 10ax2 + 3(5a – 2)x – 9.
Q. 8. Find the roots of the following quadratic equation by using quadratic formula. a2x2 – (a2 + b2)x + b2 = 0
Q. 9. One year ago , a man was 8 times as old as his son. Now his age is equal to the square os his son’s age. Find their present ages.
Q. 10. A person on tour has Rs 360 for his expenses. If he extends his tour for 4 days, he has to cut down his
daily expences by Rs 3. Find the original duration of the tour.
Q. 11. A teacher , on attempting to arrange the students for mass P.T. in the form of a square, found that 24 students were left over, when she increased the size of the square by one student she found that there was
short of 25 students. Find the numbers of students.
Q. 12. The speed of the boat in still water in 20km/h. It takes one hour more when it goes 15km upstream than 15km downstream. Find speed of the stream.
