Question
A triangle ABC is inscribed in a circle. The tangent at
A meets the extended sides BC and AB at points P and Q, respectively. If ∠ACB = 30° and ∠BCA = 60°, find ∠PAQ.ÂSolution
Since ∠ACB and ∠BCA are given, the angle subtended by the arc AB at P (∠PAQ) is supplementary to ∠ACB (by the tangent-secant angle theorem), so ∠PAQ = 180° - ∠ACB = 180° - 30° = 150°. Correct answer: c) 150°
Scaled
(i) These blennies are cryptically coloured or transparent, heavily scaled, and small.
(ii) An ideal location would be where the co...
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In each of the following questions, a word has been used in sentences in THREE different ways. Choose the option corresponding to the sentences in which...
A person, especially a young one, with exceptional abilities.
POISONOUS
(i) An island in Brazil is full of poisonous snakes.
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Direction: In each of the questions given below, four words are given in bold. These four words may or may not be in their correct position. The senten...
He was wrongly blamed for something his friends did, and was upset for over a month.
In the following question, a word has been given and there are three ways in which the word has been used, in similar or different forms. You need to se...
Capital
I. Many countries have done away with the capital punishment because it has been experienced that it is not helping the cause at all.
