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Free CBSE Class 10 Mathematics UNIT II: Algebra Quadratic Equations Worksheets

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Sample CBSE Class 10 Mathematics UNIT II: Algebra Quadratic Equations Worksheet Questions

1.

the roots of the equation are  x2−3x−10=0  are

1.

real and equal

2.

real and unequal

3.

imaginary and unequal

4.

real and imaginary

2.

0.2 is a root of the equation x2 – 0.4?

1. True 2. False
3.

If zeba were younger by 5 years than what she really is, then the square of her age (in years) would have been 11 more than five times her actual age. What is her age now?

1.

14 years

2.

15 years

3.

17 years

4.

12 years

4.

A train travelling at uniform speed for 360km, would have taken 48 minutes less to travel the same distance if its speed were 5km/h more.Find the original speed of the train?

1.

65 km/h

2.

55 km/h

3.

45 km/h

4.

75 km/h

5.

what is the value of  x : √3x2-2√2x-2√3=0 

1.

√6, -√(2/3)

2.

√7, -√(3/2)

3.

√5, -√(2/3)

4.

√6, -√(5/3)

6.

Two water taps together can fill a tank in 9 hours 36 minutes. The tap of larger diameter takes 8 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank

1.

26 hours

2.

20 hours 

3.

22 hours

4.

24 hours

7.

If- 5 is a root of the quadratic equation 2x2 + px -15 = 0 and the quadratic equation p(x2 + x) + k = 0 has equal roots, find the value of k

1.

4/5

2.

4/7

3.

7/4

4.

5/4

8.

A natural number when increased by 12, equals 160 times its reciprocal. Find the number

1.

10

2.

8

3.

12

4.

9

9.

Find a natural number whose square diminished by 84 is thrice of 8 more of given number

1.

13

2.

12

3.

14

4.

15

10.

Had Ram scored 10 more marks in her mathematics test out of 30 marks, 9 times these marks would have been the square of her actual marks. How many marks did she get in the test?

1.

15

2.

10

3.

12

4.

11

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