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Example 6 : Prove that the quadrilateral formed (if possible) by the internal angle bisectors of any quadrilateral is cyclic.
15
Oct
Example 6 : Prove that the quadrilateral formed (if possible) by the internal angle bisectors of any quadrilateral is cyclic. Example 6 : Prove that the quadrilateral formed (if possible) by the internal angle bisectors of any quadrilateral is cyclic. October 15, 2020 Category: Chapter 10 - Circles , Maths , NCERT Class 9 ,
Example 5 : Two circles intersect at two points A and B. AD and AC are diameters to the two circles (see fig.). Prove that B lies on the line segment DC.
15
Oct
Example 5 : Two circles intersect at two points A and B. AD and AC are diameters to the two circles (see fig.). Prove that B lies on the line segment DC. Example 5 : Two circles intersect at two points A and B. AD and AC are diameters to the two circles (see fig.). [...]
Example 4 : In Fig 10.33, ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If ∠DBC = 55 degree and ∠BAC = 45 degree, find angle BCD.
15
Oct
Example 4 : In Fig 10.33, ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If ∠DBC = 55 degree and ∠BAC = 45 degree, find angle BCD. ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If ∠DBC = 55 degree and ∠BAC = 45 degree [...]
Example 3 : In figure, AB is a diameter of the circle, CD is a chord equal to the radius of the circle. AC and BD when extended intersect at a point E. Prove that ∠AEB = 60^∘
15
Oct
Example 3 : In figure, AB is a diameter of the circle, CD is a chord equal to the radius of the circle. AC and BD when extended intersect at a point E. Prove that ∠AEB = 60^∘ AB is a diameter of the circle CD is a chord equal to the radius of the [...]
Example 2 : If two intersecting chords of a circle make equal angles with the diameter passing through their point of intersection, prove that the chords are equal.
15
Oct
Example 2 : If two intersecting chords of a circle make equal angles with the diameter passing through their point of intersection, prove that the chords are equal. Example 2 : If two intersecting chords of a circle make equal angles with the diameter passing through their point of intersection prove that the chords are [...]
Example 1 : Given an arc of a circle, complete the circle.
15
Oct
Example 1 : Given an arc of a circle, complete the circle. complete the circle. Example 1 : Given an arc of a circle October 15, 2020 Category: Chapter 10 - Circles , Maths , NCERT Class 9 ,
12. Prove that a cyclic parallelogram is a rectangle.
15
Oct
12. Prove that a cyclic parallelogram is a rectangle. 12. Prove that a cyclic parallelogram is a rectangle. October 15, 2020 Category: Chapter 10 - Circles , Maths , NCERT Class 9 ,
11. ABC and ADC are two right triangles with common hypotenuse AC. Prove that ∠ CAD = ∠CBD.
15
Oct
11. ABC and ADC are two right triangles with common hypotenuse AC. Prove that ∠ CAD = ∠CBD. 11. ABC and ADC are two right triangles with common hypotenuse AC. Prove that ∠ CAD = ∠CBD. October 15, 2020 Category: Chapter 10 - Circles , Maths , NCERT Class 9 ,
9. Two circles intersect at two points B and C. Through B, two line segments ABD and PBQ are drawn to intersect the circles at A, D and P, Q respectively (see Fig. 10.40). Prove that ∠ ACP = ∠ QCD.
15
Oct
9. Two circles intersect at two points B and C. Through B, two line segments ABD and PBQ are drawn to intersect the circles at A, D and P, Q respectively (see Fig. 10.40). Prove that ∠ ACP = ∠ QCD. 9. Two circles intersect at two points B and C. Through B D and [...]
8. If the non-parallel sides of a trapezium are equal, prove that it is cyclic.
15
Oct
8. If the non-parallel sides of a trapezium are equal, prove that it is cyclic. 8. If the non-parallel sides of a trapezium are equal prove that it is cyclic. October 15, 2020 Category: Chapter 10 - Circles , Maths , NCERT Class 9 ,