Mathematics Standard 10>Chapter 3 - Algebra>Unit Exercise>Q 9

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10th Tamil Nadu Board

IMPORTANT

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If the square root of $289 x^{4} - 612 x^{3} + 970 x^{2} - 684 x + 361$ is $a x^{2} + b x + c$ then find the value of $a + b + c$ .

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Important Questions on Algebra

HARD

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 3 - Algebra>Unit Exercise>Q 10

Solve

\sqrt{y + 1} + \sqrt{2 y - 5} = 3

HARD

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 3 - Algebra>Unit Exercise>Q 11

A boat takes

1.6 hours

longer to go

36 kms

up a river than down the river. If the speed of the water current is

4 km

per

hr

, what is the speed of the boat in still water in

km / hr

?

MEDIUM

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 3 - Algebra>Unit Exercise>Q 12

Is it possible to design a rectangular park of perimeter

320 m

and area

4800 m^{2}

? If so find its length and breadth.

MEDIUM

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 3 - Algebra>Unit Exercise>Q 13

At

t

minutes past

2 pm

, the time needed to

3 pm

is

3 minutes

less than

\frac{t^{2}}{4} .

Find

t

in

minutes

.

MEDIUM

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 3 - Algebra>Unit Exercise>Q 14

The number of seats in a row is equal to the total number of rows in a hall. The total number of seats in the hall will increase by

375

if the number of rows is doubled and the number of seats in each row is reduced by

5

. Find the number of rows in the hall at the beginning.

HARD

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 3 - Algebra>Unit Exercise>Q 15

α

and

β

are the roots of the polynomial

f (x) = x^{2} - 2 x + 3,

If the polynomial whose roots are

α + 2, β + 2

is

x^{2} - 6 x + k

, find the value of

k

.

HARD

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 3 - Algebra>Unit Exercise>Q 15

α

and

β

are the roots of the polynomial

f (x) = x^{2} - 2 x + 3,

If the polynomial whose roots are

\frac{α - 1}{α + 1} and \frac{β - 1}{β + 1}

is

k x^{2} - 2 x + 1

, find the value of

k

.

HARD

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 3 - Algebra>Unit Exercise>Q 16

If

- 4

is a root of the equation

x^{2} + p x - 4 = 0

and if the equation

x^{2} + p x + q = 0

has equal roots, find the values of

p

and

q