Questions

If cos4θ-sin4θ=13 then the value of tan2θ is

In the following passage, some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.

It is basic to a democracy that its citizens remain in harmony _______ one another. At the very least, they should _______ treat each other as enemies. Enmity is spreadonly by vested interests that hope to thrive _________ polarising citizens. The ______________ between professed love for the country and infecting the people with hatred remains ignored. There is no instance in history of the policy of ‘divide and rule’ _____________ people’s welfare.

‘divide and rule’ _____________ people’s welfare.

In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. Ifa sentence is free from error, select 'No Error'.   

The noise startled (1)/ the dog (2)/ and made it to yell. (3)/ No error (4)

In the following passage, some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.

The news has always ____________ predicated on informing the consumer. It speaks of — apart from the day’s most ____________ upheavals — the best and the worst that _____________ has managed to accomplish each day. This includes the medal-winners, the laureates, the record-breakers, the deal-makers _________the criminals, the villains, the corrupt. The news regales us ________ the highlights, a reel of the most provoking ones that made it into a window of a half-an-hour.

Friction is caused by the ______________ on the two surfaces in contact.

Light travels fastest in

In which of the following situations is mechanical energy most likely to be conserved?