If f(x) = [cos x -sin x 0; sin x cos x 0; 0 0 1], then which of the following are correct ? 1.R(θ) × f(ϕ) = f(θ + ϕ) 2.The value of the determinant of the matrix f(θ) × f(ϕ) is 1. 3.The determinant of f(x) is an even function. Select the correct answer using the code given below :

For election to the Lok Sabha, a nomination paper can be filed by

Miscellaneous · Easy

In a month if the seventh day is three days earlier than Saturday,then the nineteenth day of the month will be a

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Which among the following events happened earliest ?

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An 80-litre solution of alcohol and water has 75% alcohol. How much water (in litres) must be added to bring down the concentration of alcohol to 60%?

Miscellaneous · Easy