Page 27 - CHAPTER 4 (Quadratic equations)

CHAPTER 4
QUADRATIC EQUATIONS

SHORT ANSWER TYPE:

2 and 3 Marks

2
1. Solve the quadratic equation 9x – 15x + 6 = 0 by the method of

completing the square.

2. If a, b are the roots of the quadratic equation 4x²-4x+1=0, then

a³+b³ is

3. Find values of k for which the given equation has real and equal

roots 2x²-10x+k=0 is:

4. If the roots of the equation ² − + = 0 differ by unity, then prove

2
that p = 1 + 4q

5. The sum of two consecutive naturals numbers whose squares have

the sum 85 is

6. The sum of two given numbers is 16. The sum of reciprocals of these

numbers is 1/3. The numbers are-

7. Two squares have sides cm and ( + 4)cm. The sum of their areas

is 656 cm2. the sides of the squares are

8. Sum of squares of two consecutive odd positive integers is 290. The

numbers are-

9. A passenger train takes one hour less for a journey of 150 km if its

speed is increased by 5 km/hr from its usual speed. The usual speed

of the train is

10. An aeroplane takes 1 hour less for a journey of 1200 km if its speed

is increased by 100 km/hr from its usual speed. Find Its usual speed.

4 MARKS QUESTIONS:

11. Solve:

1
1
1
(i) 1 = + + (ii) 4x-3 -10 ( 2x+1 ) =3
a+b+x a b x 2x+1 4x-3

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