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Mathematics
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UNIT II: Algebra
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Quadratic Equations Worksheets

1.

The roots of the quadratic equation 2x^{2}+x- 6=0 are __ and __.

1.

-4 and - 3

2.4 and 3

3.4 and - 3

4.-4 and 3

2.

A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train? |

1.

120 metres

2.180 metres

3.324 metres

4.150 metres

3.

solve for a :

4.

Three consecutive natural number are such that the square of the middle number exceeds the difference of the square of the other teo by 60. Find the numbers.

5.

A & B are centres of circle of radii 9cm and 2cm. AB=17cm. R is the centre of the circle of radius x cm which touches the above externally. Given that angle ARB is 90dgree. Write an equation in x and solve it.

6.

Solve the following quadratic equation for q: 9q^{2 }- 9(a+b)q + 2a^{2 }+ 5ab + 2b^{2 }= 0.

7.

If 2/3 and -3 are the roots of the equation aq^{2 }+ 7q + b = 0, Then find the value of a and b?

8.

Sum of the area of two squares is 468 m^{2}. If the diffrent of their perimeter is 24m, Find the sides of the two square.

9.

Find the roots of the following quadratic equation : 2/5a^{2 }- a - 3/5 = 0

10.

Find the roots of the following quadratic equation: (a+3)(a-1) = 3 (a-1/3)

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