Chapter 10 – Circles
3. If from an external point B of a circle with centre O, two tangents BC and BD are drawn such that ∠DBC = 120°, prove that BC + BD = BO, i.e., BO = 2BC.
05
Jul
3. If from an external point B of a circle with centre O, two tangents BC and BD are drawn such that ∠DBC = 120°, prove that BC + BD = BO, i.e., BO = 2BC. 3. If from an external point B of a circle with centre O BO = 2BC. i.e prove that [...]
2. Two tangents PQ and PR are drawn from an external point to a circle with centre O. Prove that QORP is a cyclic quadrilateral.
05
Jul
2. Two tangents PQ and PR are drawn from an external point to a circle with centre O. Prove that QORP is a cyclic quadrilateral. 2. Two tangents PQ and PR are drawn from an external point to a circle with centre O. Prove that QORP is a cyclic quadrilateral. July 5, 2021 Category: Chapter [...]
1. Out of the two concentric circles, the radius of the outer circle is 5 cm and the chord AC of length 8 cm is a tangent to the inner circle. Find the radius of the inner circle.
05
Jul
1. Out of the two concentric circles, the radius of the outer circle is 5 cm and the chord AC of length 8 cm is a tangent to the inner circle. Find the radius of the inner circle. 1. Out of the two concentric circles the radius of the outer circle is 5 cm and [...]
Write ‘True’ or ‘False’ and justify your answer in each of the following : 10. AB is a diameter of a circle and AC is its chord such that ∠BAC = 30°. If the tangent at C intersects AB extended at D, then BC = BD.
05
Jul
Write ‘True’ or ‘False’ and justify your answer in each of the following : 10. AB is a diameter of a circle and AC is its chord such that ∠BAC = 30°. If the tangent at C intersects AB extended at D, then BC = BD. then BC = BD. Write ‘True’ or ‘False’ and [...]
Write ‘True’ or ‘False’ and justify your answer in each of the following : 9. If a number of circles pass through the end points P and Q of a line segment PQ, then their centres lie on the perpendicular bisector of PQ.
05
Jul
Write ‘True’ or ‘False’ and justify your answer in each of the following : 9. If a number of circles pass through the end points P and Q of a line segment PQ, then their centres lie on the perpendicular bisector of PQ. then their centres lie on the perpendicular bisector of PQ. Write ‘True’ [...]
Write ‘True’ or ‘False’ and justify your answer in each of the following : 8. If a number of circles touch a given line segment PQ at a point A, then their centres lie on the perpendicular bisector of PQ.
05
Jul
Write ‘True’ or ‘False’ and justify your answer in each of the following : 8. If a number of circles touch a given line segment PQ at a point A, then their centres lie on the perpendicular bisector of PQ. then their centres lie on the perpendicular bisector of PQ. Write ‘True’ or ‘False’ and [...]
Write ‘True’ or ‘False’ and justify your answer in each of the following : 7. The tangent to the circumcircle of an isosceles triangle ABC at A, in which AB = AC, is parallel to BC.
05
Jul
Write ‘True’ or ‘False’ and justify your answer in each of the following : 7. The tangent to the circumcircle of an isosceles triangle ABC at A, in which AB = AC, is parallel to BC. in which AB = AC is parallel to BC. Write ‘True’ or ‘False’ and justify your answer in each [...]
Write ‘True’ or ‘False’ and justify your answer in each of the following : 6. If angle between two tangents drawn from a point P to a circle of radius a and centre O is 60°, then OP = a root 3 .
05
Jul
Write ‘True’ or ‘False’ and justify your answer in each of the following : 6. If angle between two tangents drawn from a point P to a circle of radius a and centre O is 60°, then OP = a root 3 . then OP = a root 3 . Write ‘True’ or ‘False’ and [...]
Write ‘True’ or ‘False’ and justify your answer in each of the following : 5. If angle between two tangents drawn from a point P to a circle of radius a and centre O is 90°, then OP = a root 2 .
05
Jul
Write ‘True’ or ‘False’ and justify your answer in each of the following : 5. If angle between two tangents drawn from a point P to a circle of radius a and centre O is 90°, then OP = a root 2 . then OP = a root 2 . Write ‘True’ or ‘False’ and [...]
Write ‘True’ or ‘False’ and justify your answer in each of the following : 4. The angle between two tangents to a circle may be 0°.
05
Jul
Write ‘True’ or ‘False’ and justify your answer in each of the following : 4. The angle between two tangents to a circle may be 0°. Write ‘True’ or ‘False’ and justify your answer in each of the following : 4. The angle between two tangents to a circle may be 0°. July 5, 2021 [...]