Algebra

QUESTIONS BANK
1 MARK QUESTIONS
CHPATER : 1 - ARITHMETIC PROGRESSION
1.

Solve of the following :

1.

Find the first five terms of the following sequence, whose ‘n th’ term
is given :
i)

tn = 4n – 3.

ii) tn = n + 2
iii) tn = n2 – 2n.
2.

For given sequence, find the next four terms.
i)

1, 3, 7, 15, 31, ....

ii) 2, 6, 12, 20, 30, ...
iii) 3, 9, 27, 81, .....
iv) 0.1, 0.01, 0.001, 0.0001, ....
3.

Is the following list of numbers an Arithmetic Progression? Justify.
i) 1, 4, 7, 10, ....
ii) 22, 26, 28, 31, ....

4.

Write the first five terms of the following Arithmetic Progression
where, the common difference ‘d’ and the first term ‘a’ are given:
i)

a = 6, d = 6.

ii) a = 10, d = – 3.
iii) a = 2, d = 2.5.
CHPATER : 2 - QUADRATIC EQUATIONS
1.

Solve of the following :

1.

Is the following a quadratic equation ?
y2 – 4 = 11y.

2.

Determine the nature of the roots of the following equation from its discriminant:
i) y2 – 4y – 1 = 0
ii) y2 + 8y + 5 = 0.

3.

Determine whether the given value of ‘x’ is a root of given quadratic equation :
x2 + 2x + 1 = 0, x = – 1.

4.

Find the value of discriminant of the following equation:
x2 – 3x + 2 = 0.

5.

Find the values of a, b, c for following quadratic equation by comparing with
standard form : x2 + 2x + 1 = 0.

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QUESTIONS BANK
2 MARKS QUESTIONS
CHPATER : 1 - ARITHMETIC PROGRESSION
1.

Solve of the following :

1.

Find the eighteenth term of the A. P. : 1, 7, 13, 19, .....

2.

Find the first three terms of the sequence for which S n is given below :
i)
ii)

2
2
Sn = n (n +1)
4

n (n +1) (2n +1)
6

iii) Sn = n2 (n + 1)
2
2
iv) Sn = n (n + 1)
4

v)

n (n +1) (2n +1)
6

vi) Sn = n2 (n + 1).
3.

Find the twenty fifth term of the A. P. :
12, 16, 20, 24, .....

4.

Find the sum of first 11 positive numbers which are multiples of 6.

5.

Find S10 if a = 6 and d = 3.
CHPATER : 2 - QUADRATIC...