If , find (sec θ + tan θ ).

Find all the zeroes of the polynomial 3x³ + 10x² – 9x – 4 if one of its zero is 1.

Prove that is an irrational number, given that √3 is an irrational number.

Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.

The following distribution gives the daily income of 50 workers of a factory.

Convert the distribution to a ‘less than type’ cumulative frequency distribution and draw its ogive.

OR

The table below shows the daily expenditure on food of 25 households in a locality

Find the mean daily expenditure on food by a suitable method