Chapter 10 – Circles
3. From an external point P, two tangents, PA and PB are drawn to a circle with centre O. At one point E on the circle tangent is drawn which intersects PA and PB at C and D, respectively. If PA = 10 cm, find the the perimeter of the triangle PCD.
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Jul
3. From an external point P, two tangents, PA and PB are drawn to a circle with centre O. At one point E on the circle tangent is drawn which intersects PA and PB at C and D, respectively. If PA = 10 cm, find the the perimeter of the triangle PCD. 3. From an [...]
2. Let s denote the semi-perimeter of a triangle ABC in which BC = a, CA = b, AB = c. If a circle touches the sides BC, CA, AB at D, E, F, respectively, prove that BD = s – b.
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Jul
2. Let s denote the semi-perimeter of a triangle ABC in which BC = a, CA = b, AB = c. If a circle touches the sides BC, CA, AB at D, E, F, respectively, prove that BD = s – b. -e 2. Let s denote the semi-perimeter of a triangle ABC in which [...]
1. If a hexagon ABCDEF circumscribe a circle, prove that AB + CD + EF = BC + DE + FA.
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Jul
1. If a hexagon ABCDEF circumscribe a circle, prove that AB + CD + EF = BC + DE + FA. 1. If a hexagon ABCDEF circumscribe a circle prove that AB + CD + EF = BC + DE + FA. July 5, 2021 Category: Chapter 10 - Circles , Maths , NCERT Class [...]
10. Prove that a diameter AB of a circle bisects all those chords which are parallel to the tangent at the point A.
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Jul
10. Prove that a diameter AB of a circle bisects all those chords which are parallel to the tangent at the point A. 10. Prove that a diameter AB of a circle bisects all those chords which are parallel to the tangent at the point A. July 5, 2021 Category: Chapter 10 - Circles , [...]
9. Prove that the tangents drawn at the ends of a chord of a circle make equal angles with the chord.
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Jul
9. Prove that the tangents drawn at the ends of a chord of a circle make equal angles with the chord. 9. Prove that the tangents drawn at the ends of a chord of a circle make equal angles with the chord. July 5, 2021 Category: Chapter 10 - Circles , Maths , NCERT Class [...]
8. A chord PQ of a circle is parallel to the tangent drawn at a point R of the circle. Prove that R bisects the arc PRQ.
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Jul
8. A chord PQ of a circle is parallel to the tangent drawn at a point R of the circle. Prove that R bisects the arc PRQ. 8. A chord PQ of a circle is parallel to the tangent drawn at a point R of the circle. Prove that R bisects the arc PRQ. July [...]
7. In Fig. 9.14, common tangents AB and CD to two circles intersect at E. Prove that AB = CD.
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Jul
7. In Fig. 9.14, common tangents AB and CD to two circles intersect at E. Prove that AB = CD. 7. In Fig. 9.14 common tangents AB and CD to two circles intersect at E. Prove that AB = CD. July 5, 2021 Category: Chapter 10 - Circles , Maths , NCERT Class 10 ,
6. In Question 5 above, if radii of the two circles are equal, prove that AB = CD.
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Jul
6. In Question 5 above, if radii of the two circles are equal, prove that AB = CD. 6. In Question 5 above if radii of the two circles are equal prove that AB = CD. July 5, 2021 Category: Chapter 10 - Circles , Maths , NCERT Class 10 ,
5. In Fig. 9.13, AB and CD are common tangents to two circles of unequal radii. Prove that AB = CD.
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Jul
5. In Fig. 9.13, AB and CD are common tangents to two circles of unequal radii. Prove that AB = CD. 5. In Fig. 9.13 AB and CD are common tangents to two circles of unequal radii. Prove that AB = CD. July 5, 2021 Category: Chapter 10 - Circles , Maths , NCERT Class [...]
4. Prove that the centre of a circle touching two intersecting lines lies on the angle bisector of the lines.
05
Jul
4. Prove that the centre of a circle touching two intersecting lines lies on the angle bisector of the lines. 4. Prove that the centre of a circle touching two intersecting lines lies on the angle bisector of the lines. July 5, 2021 Category: Chapter 10 - Circles , Maths , NCERT Class 10 ,