Questions

If tanθ + cotθ = 5, then the value of tan2θ + cot2θ is

If tan(A/2) = x, then the value of x is

In a Δ ABC, DE || BC. D and E lie on AB and AC respectively. If AB = 7 cm and BD = 3cm, then find BC:DE

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.

Teachers worldwide are stuck in a constant balancing __________ between individual liberty and occupational obligations. The Indian teacher is _________ stuck in tremendous technological, political and sociocultural changes, which are having ________ impact on performance and lifestyle. It goes without saying that teachers in India need to redefine and adjust their _____________ to develop transformational and humane skills by helping bridge the deep-rooted ______________ distance between the teacher and the taught.

constant balancing __________ between individual liberty

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.

The ______________ between professed love

In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.

Blessing in disguise

In the following question, out of the four alternatives, select the alternative which is the best substitute of the words/sentence.

Break up into small parts as the result of impact or decay.

In the following question, a sentence has been given in Direct/Indirect speech. Out of the four alternatives suggested, select the one, which best express the same sentence in Indirect/Direct speech.

Mother said to you, "When will you start from Pune?"