SSLC (English Medium) कक्षा ९ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Mathematics

Simplify the following using multiplication and division properties of surds:

`[sqrt(225/729) - sqrt(25/144)] ÷ sqrt(16/81)`

If `sqrt(2)` = 1.414, `sqrt(3)` = 1.732, `sqrt(5)` = 2.236, `sqrt(10)` = 3.162, then find the values of the following correct to 3 places of decimals.

`sqrt(40) - sqrt(20)`

If `sqrt(2)` = 1.414, `sqrt(3)` = 1.732, `sqrt(5)` = 2.236, `sqrt(10)` = 3.162, then find the values of the following correct to 3 places of decimals.

`sqrt(300) + sqrt(90) - sqrt(8)`

Which of the following statement is false?

`sqrt(27) + sqrt(12)` =

`4sqrt(7) xx 2sqrt(3)` =

When `(2sqrt(5) - sqrt(2))^2` is simplified, we get

`(0.000729)^((-3)/4) xx (0.09)^((-3)/4)` = ______

The length and breadth of a rectangular plot are 5 × 10⁵ and 4 × 10⁴ metres respectively. Its area is ______

Consider the given pairs of triangles and say whether each pair is that of congruent triangles. If the triangles are congruent, say ‘how’; if they are not congruent say ‘why’ and also say if a small modification would make them congruent:

ΔABC and ΔDEF are two triangles in which AB = DF, ∠ACB = 70°, ∠ABC = 60°, ∠DEF = 70° and ∠EDF = 60°. Prove that the triangles are congruent

Let m be the midpoint and b be the upper limit of a class in a continuous frequency distribution. The lower limit of the class is

A particular observation which occurs maximum number of times in a given data is called its

In the figure, ∠TMA ≡∠IAM and ∠TAM ≡ ∠IMA. P is the midpoint of MI and N is the midpoint of AI. Prove that ΔPIN ~ ΔATM

Rationalise the denominator `1/sqrt(50)`

Rationalise the denominator `5/(3sqrt(5))`

Rationalise the denominator `sqrt(75)/sqrt(18)`

Rationalise the denominator `(3sqrt(5))/sqrt(6)`

Rationalise the denominator and simplify `(sqrt(48) + sqrt(32))/(sqrt(27) - sqrt(18))`

Rationalise the denominator and simplify `(5sqrt(3) + sqrt(2))/(sqrt(3) + sqrt(2))`