SSLC (English Medium) Class 10 - Tamil Nadu Board of Secondary Education Question Bank Solutions

Find the square root of the following

(4x² – 9x + 2)(7x² – 13x – 2)(28x² – 3x – 1)

Find the square root of the following

`(2x^2 + 17/6 x + 1) (3/2 x^2 + 4x + 2) (4/3 x^2 + 11/3 x + 2)`

Find the square root of the following polynomials by division method

x⁴ – 12x³ + 42x² – 36x + 9

Find the square root of the following polynomials by division method

37x² – 28x³ + 4x⁴ + 42x + 9

Find the square root of the following polynomials by division method

16x⁴ + 8x² + 1

Find the square root of the following polynomials by division method

121x⁴ – 198x³ – 183x² + 216x + 144

Find the values of a and b if the following polynomial is a perfect square

4x⁴ – 12x³ + 37x² + bx + a

Find the values of a and b if the following polynomial is a perfect square

ax⁴ + bx³ + 361x² + 220x + 100

Find the values of m and n if the following polynomial is a perfect square

 x⁴ – 8x³ + mx² + nx + 16

Find the values of m and n if the following polynomial is a perfect square

`1/(x^4) - 6/(x^3) + 13/(x^2) + "m"/x + "n"`

The square root of `(256x^8y^4z^10)/(25x^6y^6z^6)` is equal to

Which of the following should be added to make x⁴ + 64 a perfect square

The values of a and b if 4x⁴ – 24x³ + 76x² + ax + b is a perfect square are 

If the roots of the equation q²x² + p²x + r² = 0 are the squares of the roots of the equation qx² + px + r = 0, then q, p, r are in __________

Find the square root of 289x⁴ – 612x³ + 970x² – 684x + 361

Solve `sqrt(y + 1) + sqrt(2y - 5)` = 3

If α and β are the roots of the polynomial f(x) = x² – 2x + 3, find the polynomial whose roots are α + 2, β + 2

If α and β are the roots of the polynomial f(x) = x² – 2x + 3, find the polynomial whose roots are `(alpha - 1)/(alpha + 1), (beta - 1)/(beta + 1)`

If – 4 is a root of the equation x² + px – 4 = 0 and if the equation x² + px + q = 0 has equal roots, find the values of p and q.

In the rectangle WXYZ, XY + YZ = 17 cm, and XZ + YW = 26 cm. Calculate the length and breadth of the rectangle?