For the following questions answer them individually
If $$3 \cos \theta = 2 \sin^2 \theta, 0^\circ < \theta < 90^\circ$$, then what is the value of $$(tan^2 \theta + sec^2 \theta - cosec^2 \theta)$$?
Study the graph which shows the target and actual production of ACs,(in thousands) of a factory over five months and answer the question that follows.
The total target production of ACs in February, March, April and May is what percent less than the total actual production of ACs over five months? (correct to one decimal place)
The volume of a rightcircular cone is 462 cm$$^3$$. Ifits heightis 12 cm, then thearea ofits base (in cm$$^2$$) is:
What is the ratio of the mean proportional between 1.2 and 10.8 to the third proportional to 0.2 and 1.2?
If $$a + b + c = 11 and $$ab + bc + ca = 15$$, then what is the value of $$a^3 + b^3 + c^3 - 3abc$$?
Who among the following cricketers won the Sir Garfield Sobers Award for ‘ICC Male Cricketer of the Decade’ in December 2020?
Who among the following were awarded the Nobel Prize in Chemistry 2020 for their exemplary work in genome editing?