Tiwari Academy Discussion

Drishya

Asked: November 5, 2020In: Class 9

Three girls Reshma, Salma and Mandip are playing a game by standing on a circle of radius 5m drawn in a park. Reshma throws a ball to Salma, Salma to Mandip, Mandip to Reshma. If the distance between Reshma and Salma and between Salma and Mandip is 6m each, what is the distance between Reshma and Mandip?

NCERT Solutions for Class 9 Maths Chapter 10 Important NCERT Questions Circles NCERT Books for Session 2022-2023 CBSE Board, UP Board and Other state Boards EXERCISE 10.4 Page No:179 Questions No:5

Drishya

Asked: November 5, 2020In: Class 9

A circular park of radius 20m is situated in a colony. Three boys Ankur, Syed and David are sitting at equal distance on its boundary each having a toy telephone in his hands to talk each other. Find the length of the string of each phone.

NCERT Solutions for Class 9 Maths Chapter 10 Important NCERT Questions Circles NCERT Books for Session 2022-2023 CBSE Board, UP Board and Other state Boards EXERCISE 10.4 Page No:179 Questions No:6

Ayesha Thakur

Asked: November 5, 2020In: Class 9

A chord of a circle is equal to the radius of the circle. Find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc.

NCERT Solutions for Class 9 Maths Chapter 10 Important NCERT Questions Circles NCERT Books for Session 2022-2023 CBSE Board, UP Board and Other state Boards EXERCISE 10.5 Page No:185 Questions No:2

Ayesha Thakur

Asked: November 5, 2020In: Class 9

ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If ∠ DBC = 70°, ∠BAC is 30°, find ∠BCD. Further, if AB = BC, find ∠ECD.

NCERT Solutions for Class 9 Maths Chapter 10 Important NCERT Questions Circles NCERT Books for Session 2022-2023 CBSE Board, UP Board and Other state Boards EXERCISE 10.5 Page No:185 Questions No:6

Ayesha Thakur

Asked: November 5, 2020In: Class 9

If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it is a rectangle.

NCERT Solutions for Class 9 Maths Chapter 10 Important NCERT Questions Circles NCERT Books for Session 2022-2023 CBSE Board, UP Board and Other state Boards EXERCISE 10.5 Page No:185 Questions No:7

Ayesha Thakur

Asked: November 5, 2020In: Class 9

If the non-parallel sides of a trapezium are equal, prove that it is cyclic.

NCERT Solutions for Class 9 Maths Chapter 10 Important NCERT Questions Circles NCERT Books for Session 2022-2023 CBSE Board, UP Board and Other state Boards EXERCISE 10.5 Page No:185 Questions No:8

Ayesha Thakur

Asked: November 5, 2020In: Class 9

. If circles are drawn taking two sides of a triangle as diameters, prove that the point of intersection of these circles lie on the third side.

NCERT Solutions for Class 9 Maths Chapter 10 Important NCERT Questions Circles NCERT Books for Session 2022-2023 CBSE Board, UP Board and Other state Boards EXERCISE 10.5 Page No:186 Questions No:10

Ayesha Thakur

Asked: November 5, 2020In: Class 9

ABC and ADC are two right triangles with common hypotenuse AC. Prove that ∠CAD = ∠CBD.

NCERT Solutions for Class 9 Maths Chapter 10 Important NCERT Questions Circles NCERT Books for Session 2022-2023 CBSE Board, UP Board and Other state Boards EXERCISE 10.5 Page No:186 Questions No:11

Ayesha Thakur

Asked: November 5, 2020In: Class 9

Prove that a cyclic parallelogram is a rectangle.

NCERT Solutions for Class 9 Maths Chapter 10 Important NCERT Questions Circles NCERT Books for Session 2022-2023 CBSE Board, UP Board and Other state Boards EXERCISE 10.5 Page No:186 Questions No:12

Tejas Rana

Asked: November 5, 2020In: Class 9

Prove that the line of centers of two intersecting circles subtends equal angles at the two points of intersection.

NCERT Solutions for Class 9 Maths Chapter 10 Important NCERT Questions Circles NCERT Books for Session 2022-2023 CBSE Board, UP Board and Other state Boards EXERCISE 10.6 Page No:186 Questions No:1

A circular park of radius 20m is situated in a colony. Three boys Ankur, Syed and David are sitting at equal distance on its boundary each having a toy telephone in his hands to talk each other. Find the length of the string of each phone.

A chord of a circle is equal to the radius of the circle. Find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc.

ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If ∠ DBC = 70°, ∠BAC is 30°, find ∠BCD. Further, if AB = BC, find ∠ECD.

If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it is a rectangle.

If the non-parallel sides of a trapezium are equal, prove that it is cyclic.

. If circles are drawn taking two sides of a triangle as diameters, prove that the point of intersection of these circles lie on the third side.

ABC and ADC are two right triangles with common hypotenuse AC. Prove that ∠CAD = ∠CBD.

Prove that a cyclic parallelogram is a rectangle.

Prove that the line of centers of two intersecting circles subtends equal angles at the two points of intersection.

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