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Territorial Army Officers Exam Elementary Mathematics Study Material

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Quadratic Equations

Who were the first to solve quadratic equations?

a) Greeks
b) Babylonians
c) Romans
d) None of these

✔Answer

Correct Answer Is : Babylonians

Solution Is :

Check whether (x + 2)² = 2(x - 3) a quadratic equation?

a) Yes
b) No
c) Sometime
d) None of these

✔Answer

Correct Answer Is : Yes

Solution Is :

Check whether the roots of the quadratic equation 6x²-x-2 are 2/5, 1/3

a) Yes
b) No
c) Sometime
d) None of these

✔Answer

Correct Answer Is : No

Solution Is :

Solve 2x²-5x=3=0

a)
1, 3/2

b)
1, 1/2

c)
3/2, 2

d)
1/2, 3

✔Answer

Correct Answer Is :
1, 3/2

Solution Is :

Choose the roots of x² – 3x – 10 = 0

a) 5, 2
b) 2, -5
c) 5, -2
d) -5, -2

✔Answer

Correct Answer Is : 5, -2

Solution Is :

Find the value of k for which the quadratic equation kx²+bx+c=0 have real roots.

a) 5/2, -5/2
b) 3/2, -3/2
c) 1/3, -1/3
d) None of these

✔Answer

Correct Answer Is : 5/2, -5/2

Solution Is :

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

a) 7
b) -7
c) 8
d) -8

✔Answer

Correct Answer Is : 8

Solution Is :

Who developed a geometrical approach for finding out lengths, the solutions of quadratic equations?

a) Bramhagupta
b) Euclid
c) Sridharacharya
d) None of these

✔Answer

Correct Answer Is : Euclid

Solution Is :

Find the quadratic equations which has the roots 3/2,1?

a) 2x²+5x-2
b) 3x²+5x-2
c) 3x²-5x+2
d) 2x²+6x-2

✔Answer

Correct Answer Is : 3x²-5x+2

Solution Is :

Find two consecutive positive integers, sum of whose squares is 313?

a) 13, 14
b) 14, 15
c) 12, 13
d) 13,15

✔Answer

Correct Answer Is : 12, 13

Solution Is :

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Territorial Army Officers Exam Elementary Mathematics Study Material

Quadratic Equations

Who were the first to solve quadratic equations?

Correct Answer Is : Babylonians

Solution Is :

Check whether (x + 2)2 = 2(x - 3) a quadratic equation?

Correct Answer Is : Yes

Solution Is :

Check whether the roots of the quadratic equation 6x2-x-2 are 2/5, 1/3

Correct Answer Is : No

Solution Is :

Solve 2x2-5x=3=0

Correct Answer Is : 1, 3/2

Solution Is :

Choose the roots of x2 – 3x – 10 = 0

Correct Answer Is : 5, -2

Solution Is :

Find the value of k for which the quadratic equation kx2+bx+c=0 have real roots.

Correct Answer Is : 5/2, -5/2

Solution Is :

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

Correct Answer Is : 8

Solution Is :

Who developed a geometrical approach for finding out lengths, the solutions of quadratic equations?

Correct Answer Is : Euclid

Solution Is :

Find the quadratic equations which has the roots 3/2,1?

Correct Answer Is : 3x2-5x+2

Solution Is :

Find two consecutive positive integers, sum of whose squares is 313?

Correct Answer Is : 12, 13

Solution Is :

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Check whether (x + 2)² = 2(x - 3) a quadratic equation?

Check whether the roots of the quadratic equation 6x²-x-2 are 2/5, 1/3

Solve 2x²-5x=3=0

Correct Answer Is :
1, 3/2

Choose the roots of x² – 3x – 10 = 0

Find the value of k for which the quadratic equation kx²+bx+c=0 have real roots.

Correct Answer Is : 3x²-5x+2