Algebra - Tamil Nadu Board STD 10 MATHS Questions

201

Questions

2

Question groups

5

Question types

01

[2 Mark Questions]

77 Q→02

[5 Mark Questions]

124 Q→

Sample Questions

Algebra questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1[2 Mark Questions]2 Marks

Find the square root of $289 x^4-612 x^3+970 x^2-684 x+361$

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Q 2[2 Mark Questions]2 Marks

Reduce the given Rational expression to its lowest form
$
\frac{x^{3 a }-8}{x^{2 a }+2 x^{ a }+4}
$

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Q 3[2 Mark Questions]2 Marks

Reduce the given Rational expression to its lowest form
$
\frac{10 x^3-25 x^2+4 x-10}{-4-10 x^2}
$

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Q 4[2 Mark Questions]2 Marks

Find the least common multiple of $x y\left(k^2+1\right)+k\left(x^2+y^2\right)$ and $x y\left(k^2-1\right)+k\left(x^2-y^2\right)$

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Q 5[2 Mark Questions]2 Marks

Find the sum and product of the roots for the following quadratic equation
$3y^2 – y – 4 = 0$

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Q 6[5 Mark Questions]5 Marks

Arul, Madan and Ram working together can clean a store in 6 hours. Working alone, Madan takes twice as long to clean the store as Arul does. Ram needs three times as long as Arul does. How long would it take each if they are working alone?

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Q 7[5 Mark Questions]5 Marks

Simplify $\frac{\frac{1}{p}+\frac{1}{q+r}}{\frac{1}{p}-\frac{1}{q+r}} \times\left[1+\frac{ q ^2+r^2-p^2}{2 q r}\right]$

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Q 8[5 Mark Questions]5 Marks

Find the GCD of the following by division algorithm
$2 x^4+13 x^3+27 x^2+23 x+7, x^3+3 x^2+3 x+1, x^2+2 x+1$

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Q 9[5 Mark Questions]5 Marks

In a three-digit number, when the tens and the hundreds digit are interchanged the new number is 54 more than three times the original number. If 198 is added to the number, the digits are reversed. The tens digit exceeds the hundreds digit by twice as that of the tens digit exceeds the unit digit. Find the original number

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Q 10[5 Mark Questions]5 Marks

One hundred and fifty students are admitted to a school. They are distributed over three sections A, B and C. If 6 students are shifted from section A to section C, the sections will have equal number of students. If 4 times of students of section C exceeds the number of students of section A by the number of students in section B, find the number of students in the three sections

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Algebra MATHS - Algebra

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