Circles - True/False

Your Progress 0 / 50 attempted
Q 01 / 50
A tangent to a circle is a line which touches the circle at exactly one point.
Q 02 / 50
Every radius of a circle is a tangent to the circle.
Q 03 / 50
A line which cuts a circle at two distinct points is called a secant of the circle.
Q 04 / 50
A line which does not intersect a circle at all is called a tangent of the circle.
Q 05 / 50
The point where a tangent touches the circle is called the point of contact.
Q 06 / 50
The tangent at any point of a circle is perpendicular to the radius drawn to the point of contact.
Q 07 / 50
If a line is perpendicular to a radius at its end point on the circle, then that line is a tangent to the circle.
Q 08 / 50
A line perpendicular to a radius at some point inside the circle is always a tangent.
Q 09 / 50
Through a given point on a circle, exactly one tangent can be drawn.
Q 10 / 50
Through a point on a circle, infinitely many tangents can be drawn.
Q 11 / 50
From a point outside a circle, exactly two tangents can be drawn to the circle.
Q 12 / 50
From a point inside a circle, no tangent can be drawn to the circle.
Q 13 / 50
From a point on the circle, two tangents can be drawn to the circle.
Q 14 / 50
The two tangents drawn from an external point to a circle are always equal in length.
Q 15 / 50
If PA and PB are tangents from an external point P to a circle, then PA ? PB in general.
Q 16 / 50
The segment joining the centre of a circle to the midpoint of a chord is always perpendicular to that chord.
Q 17 / 50
The perpendicular from the centre of a circle to a chord always bisects the chord.
Q 18 / 50
If a line through the centre bisects a chord, it need not be perpendicular to the chord.
Q 19 / 50
The distance from the centre of a circle to a tangent is smaller than the radius of the circle.
Q 20 / 50
The perpendicular distance from the centre of a circle to a tangent equals the radius of the circle.
Q 21 / 50
If two circles touch each other externally, then the distance between their centres equals the sum of their radii.
Q 22 / 50
If two circles touch each other internally, the distance between their centres equals the difference of their radii.
Q 23 / 50
Every diameter of a circle is a chord of the circle.
Q 24 / 50
Every chord of a circle is a diameter of the circle.
Q 25 / 50
The angle between two tangents drawn from an external point to a circle is always the same, regardless of the location of the point.
Q 26 / 50
The circumference of a circle of radius \(r\) is given by \(2\pi r.\)
Q 27 / 50
The area of a circle becomes four times if its radius is doubled.
Q 28 / 50
The area of a circle is directly proportional to its radius.
Q 29 / 50
The length of an arc of a sector of angle \(\theta\) (in degrees) in a circle of radius \(r\) is \(\dfrac{\theta}{360^\circ} \times 2\pi r\)
Q 30 / 50
The area of a sector of angle \(\theta\) (in degrees) in a circle of radius \(r\) is \(\dfrac{\theta}{360^\circ} \times \pi r^2\)
Q 31 / 50
A segment of a circle is the region between two radii and the corresponding arc.
Q 32 / 50
The area of a segment of a circle is obtained by subtracting the area of the corresponding triangle from the area of the corresponding sector.
Q 33 / 50
The area of a ring (or circular path) with outer radius \(R\) and inner radius \(r\) is \(\pi(R^2 - r^2)\)
Q 34 / 50
If two circles have equal circumferences, then their areas must be different.
Q 35 / 50
If the diameter of a circle is 14 cm, then its radius is 7 cm.
Q 36 / 50
The circumference of a circle is numerically equal to the area of the circle for radius \(r=2r\)
Q 37 / 50
In the formulae of this chapter, \(\pi\) is often taken as \(\dfrac{22}{7}\) or 3.14 for numerical calculations.
Q 38 / 50
The area of a semicircle of radius rrr is \(\pi r^2\)
Q 39 / 50
The perimeter of a semicircle of radius \(r\) (including diameter) is \(\pi r + 2r\)
Q 40 / 50
The sum of the areas of the major segment and the minor segment of a circle equals the area of the circle.
Q 41 / 50
In this chapter, many problems involve finding areas of figures formed by combinations of circles with rectangles, triangles or squares.
Q 42 / 50
The length of the arc of a full circle of radius \(r\) is \(\pi r\)
Q 43 / 50
If the radius of a circle is tripled, its area becomes nine times.
Q 44 / 50
A sector with central angle \(180^\circ\) is called a semicircular region.
Q 45 / 50
A quadrant is a sector of a circle whose central angle is\(60^\circ\)
Q 46 / 50
The unit of circumference of a circle is always in square units.
Q 47 / 50
The unit of area of a circle is always in square units.
Q 48 / 50
For a fixed radius, the area of a sector increases as its central angle increases.
Q 49 / 50
In problems on circular paths around a circular field, the width of the path is the difference between the outer and inner radii.
Q 50 / 50
Every chord of a circle divides it into two sectors.
Share this Chapter

Found this helpful? Share this chapter with your friends and classmates.

WhatsApp Telegram X / Twitter Facebook LinkedIn

💡 Exam Tip: Share helpful notes with your study group. Teaching others is one of the fastest ways to reinforce your own understanding.

;
📰 Recent Posts

    CIRCLES – Learning Resources

    Detailed Notes
    Practice MCQs
    NCERT Solutions

    Get in Touch

    Let's Connect

    Questions, feedback, or suggestions?
    We'd love to hear from you.