UP Board Class 10 Circles — practice questions
31 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice UP Board Class 10 Circles in the app →A line that intersects a circle at exactly one point is called aThe tangent at any point of a circle isFrom a point outside a circle, how many tangents can be drawn to the circleThe lengths of two tangents drawn from an external point to a circle areA tangent PT is drawn from a point P to a circle with centre O. The triangle OPT formed by joining OT isThe maximum number of common tangents that can be drawn to two non-intersecting circles isA point P is 17 cm from the centre of a circle of radius 8 cm. The length of the tangent from P to the circle Two concentric circles have radii 5 cm and 13 cm. The length of a chord of the larger circle that touches the The radius of a circle is 6 cm. The length of the tangent from a point 10 cm from the centre isA circle has centre O. A tangent at P makes an angle of 30 degrees with chord PQ. Then angle POQ equalsIn a quadrilateral ABCD circumscribed about a circle, AB + CD equalsTwo tangents PA and PB are drawn from an external point P to a circle. If angle APB = 60 degrees, then angle AThe length of a tangent from a point at distance c from the centre of a circle of radius r isA circle is inscribed in a triangle of sides 8 cm, 10 cm and 12 cm. The radius of the inscribed circle if the Two circles of radii 5 cm and 3 cm touch each other internally. The distance between their centres isTwo circles of radii 5 cm and 3 cm touch each other externally. The distance between their centres isA tangent at point A of a circle of radius 5 cm meets a line through the centre at B such that AB = 12 cm. ThePA and PB are tangents from external point P to a circle with centre O. If PA = 12 cm and the radius is 5 cm, The maximum number of common tangents to two circles that intersect at two points isA chord of a circle of radius 10 cm subtends a right angle at the centre. The length of the chord isIn a circle of radius 7 cm, a tangent and a chord meet at the point of contact with an angle of 60 degrees. ThA circle is inscribed in a right triangle whose legs are 5 cm and 12 cm. The radius of the inscribed circle isTwo tangents from an external point to a circle of radius 6 cm have length 8 cm each. The distance of the exteA line drawn through the centre of a circle to bisect a chord isPA and PB are tangents from a point P to a circle. If angle APB = 90 degrees, the radius and PA are related byA circle touches all four sides of a quadrilateral ABCD with AB = 6, BC = 7, CD = 4. Then AD equalsA tangent at point P of a circle of radius 5 cm is parallel to a chord 8 cm long. The distance of the chord frTwo parallel tangents are drawn to a circle of radius 8 cm. The distance between them isA point P is 25 cm away from the centre O of a circle and the tangent PT to the circle is 24 cm long. The radiIn a circle, two chords AB and CD intersect inside at P. If AP × PB = 8 and CP = 4, then PD equalsTwo circles touch each other externally at P. A common tangent at P meets another common tangent AB at point M