Maths

Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle. Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle. October 6, 2020 Category: Chapter 10 - Circles , Maths , NCERT Class 10 ,

A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively. Find the sides AB and AC. A quadrilateral ABCD is drawn to circumscribe a circle. [...]

Prove that the parallelogram circumscribing a circle is a rhombus. Prove that the parallelogram circumscribing a circle is a rhombus. October 6, 2020 Category: Chapter 10 - Circles , Maths , NCERT Class 10 ,

Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line-segment joining the points of contact at the centre. Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended [...]

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 ,