Circles

Fill in the blanks.
(i) A line intersecting a circle in two distinct points is called a ………
(ii) A circle can have parallel tangents at the most …
(iii) The common point of a tangent to a circle and the circle is called the ………
(iv) A circle can have ….. tangents

Sol: A line intersecting a circle at two district points is called a secant A circle can have two parallel tangents at the most The common point of a tangent to a circle and the circle is called the...

read more

Which of the following statement is not true?
(a) A line which intersect a circle in tow points, is called secant of the circle.
(b)A line intersecting a circle at one point only, is called a tangent to the circle.
(c) The point at which a line touches the circle, is called the point of contact.
(d) A tangent to the circle can be drawn form a point inside the circle.

Answer: (d) A tangent to the circle can be drawn form a point inside the circle. Sol: A tangent to the circle can be drawn from a point Inside the circle. This statement is false because tangents...

read more

Which of the following statements is not true?
(a) A tangent to a circle intersects the circle exactly at one point.
(b) The point common to the circle and its tangent is called the point of contact.
(c) The tangent at any point of a circle is perpendicular to the radius of the circle through the point of contact.
(d) A straight line can meet a circle at one point only.

Answer: (d) A straight line can meet a circle at one point only. Sol: A straight be can meet a circle at one point only This statement is not true because a straight line that is not a tangent but a...

read more

Which of the following statements in not true?
(a)If a point P lies inside a circle, not tangent can be drawn to the circle, passing through p.
(b) If a point P lies on the circle, then one and only one tangent can be drawn to the circle at P.
(c) If a point P lies outside the circle, then only two tangents can be drawn to the circle form P.
(d) A circle can have more than two parallel tangents. parallel to a given line.

Answer: (d) A circle can have more than two parallel tangents. parallel to a given line. Sol: A circle can have more than two parallel tangents. parallel to a given line. This statement is false...

read more