Vadrmati

Tejas Rana

Asked: November 3, 2020In: Class 9

The lengths of two parallel chords of a circle are 6 cm and 8 cm. If the smaller chord is at distance 4 cm from the center, what is the distance of the other chord from the center?

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:3

Tejas Rana

Asked: November 3, 2020In: Class 9

Let the vertex of an angle ABC be located outside a circle and let the sides of the angle intersect equal chords AD and CE with the circle. Prove that ∠ABC is equal to half the difference of the angles subtended by the chords AC and DE at the center.

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:4

Tejas Rana

Asked: November 3, 2020In: Class 9

Prove that the circle drawn with any side of a rhombus as diameter, passes through the point of intersection of its diagonals.

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:5

Tejas Rana

Asked: November 3, 2020In: Class 9

ABCD is a parallelogram. The circle through A, B and C intersect CD (produced if necessary) at E. Prove that AE = AD.

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:6

Tejas Rana

Asked: November 3, 2020In: Class 9

AC and BD are chords of a circle which bisect each other. Prove that (i) AC and BD are diameters, (ii) ABCD 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 10.6 Page No:186 Questions No:7

Vadrmati

The lengths of two parallel chords of a circle are 6 cm and 8 cm. If the smaller chord is at distance 4 cm from the center, what is the distance of the other chord from the center?

Let the vertex of an angle ABC be located outside a circle and let the sides of the angle intersect equal chords AD and CE with the circle. Prove that ∠ABC is equal to half the difference of the angles subtended by the chords AC and DE at the center.

Prove that the circle drawn with any side of a rhombus as diameter, passes through the point of intersection of its diagonals.

ABCD is a parallelogram. The circle through A, B and C intersect CD (produced if necessary) at E. Prove that AE = AD.

AC and BD are chords of a circle which bisect each other. Prove that (i) AC and BD are diameters, (ii) ABCD is a rectangle.

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