Chapter 10 – Circles

In the figure XY and X’Y’ are two parallel tangents to a circle with centre O and and another tangent AB with point of contact C interesting XY at A and X’Y’ at B. Prove that ∠AOB=90 degree. In the figure XY and X'Y' are two parallel tangents to a circle with centre O and [...]

A quadrilateral ABCD is drawn to circumscribe a circle. Prove that AB+CD=AD+BC. A quadrilateral ABCD is drawn to circumscribe a circle. Prove that AB+CD=AD+BC. October 6, 2020 Category: Chapter 10 - Circles , Maths , NCERT Class 10 ,

Two concentric circles are of radius 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle. Two concentric circles are of radius 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle. October 6, 2020 [...]

The length of a tangent from a point A at distance 5 cm from the centre of circle is 4 cm. Find the radius of the circle. The length of a tangent from a point A at distance 5 cm from the centre of circle is 4 cm. Find the radius of the circle. October [...]

Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre of the circle. Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre of the circle. October 6, 2020 Category: Chapter 10 - Circles , Maths , [...]

Prove that the tangents drawn at the end of a diameter of a circle are parallel. Prove that the tangents drawn at the end of a diameter of a circle are parallel. October 6, 2020 Category: Chapter 10 - Circles , Maths , NCERT Class 10 ,

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of 80 degree, then ∠POA is equal to: If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of 80 degree [...]

In Fig. 10.11, if TP and TQ are the two tangents to a circle with centre O so that angle POQ = 110 degree, then angle PTQ is equal to if TP and TQ are the two tangents to a circle with centre O so that angle POQ = 110 degree In Fig. 10.11 then [...]

From a point q the length of the tangent to a circle is 24cm and the distance of q from the centre is 25cm .The radius of the circle is From a point q the length of the tangent to a circle is 24cm and the distance of q from the centre is 25cm .The [...]

Draw a circle and two lines parallel to a given line that one is a tangent and the other, a secant to the circle a secant to the circle Draw a circle and two lines parallel to a given line that one is a tangent and the other October 6, 2020 Category: Chapter 10 - [...]