Which of the following statements are True in the context of circles? I. A tangent of a circle touches it at two points. II. A circle can have two parallel tangents at the most. III. There is no…
Question and options
Which of the following statements are True in the context of circles?
- I. A tangent of a circle touches it at two points.
- II. A circle can have two parallel tangents at the most.
- III. There is no tangent to a circle passing through a point inside the circle.
Choose the correct answer from the given options:
- I and II only
- I, II and III
- I and III only
- II and III only
Answer and explanation
Correct answer: D - II and III only
Statement I is false: a tangent touches a circle at exactly one point. Statement II is true: tangents parallel to a given direction occur only at the two ends of a diameter. Statement III is true: no tangent passes through a point inside the circle. So II and III only.
Practice for these exams
-
JIPMAT
Related question papers
Related exam syllabi
More solved explanations in Arithmetic
- A watch is listed for Rs. 230/- and is sold at a discount of 12%. What is the sale price of the watch?
- A train crosses Park Street every forty-five minutes. Fifteen minutes ago one train crossed Park Street and the next train will cross Park Street by 9.45 a.m. What…
- How many prime numbers are there between 1 and 10?
- What is the greatest five-digit integer exactly divisible by 47?
- A box contains Rs. 56 in the form of coins of one rupee, 50 paisa and 25 paisa. The number of 50 paisa coins is double the number of 25 paisa coins and four times…