Question
In a circle, two tangents PA and PB are drawn from an
external point P such that the angle ∠APB = 60°. If the radius of the circle is 10 cm, find the length of each tangent.Solution
In a circle, the tangents drawn from an external point are equal in length. Let the length of the tangent be x cm. In triangle ∆APB, since PA = PB, ∆APB is an isosceles triangle. Also, ∠APB = 60°. Using the cosine rule: x² = 10² + 10² − 2(10)(10)cos(60°) x² = 100 + 100 − 200 × (1/2) x² = 200 − 100 x² = 100 x = 10 cm Correct answer: a) 10 cm
Which of the following gives a detailed report on revenue collected from different items like corporation tax, income tax, wealth tax, customs, union ex...
Which of the following is/are the correct conditions for receiving Second Instalment under the Pradhan Mantri Matru Vandana Yojana (PMMVY)?
I-...
The Union Budget 2024-25 aims to address the housing needs of how many urban poor and middle-class families under the PM Awas Yojana Urban 2.0?
Consider the following statements in context of Public-Private Partnership (PPP) models:
I. PPP is an arrangement between government and private ...
As per Census 2011, which of the following state has the maximum number of senior citizens?
What is the primary objective of the Smart Cities Mission in India?
Soil Health Cards assess how many soil parameters for each farmer’s land?
From where was the mission described in the passage launched?
What does ‘on-tap licensing’ provided by the Reserve Bank of India mean?
Which organisation collects samples to determine the Poverty Line in India?
