Tiwari Academy Discussion

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

Tejas Rana

Asked: November 3, 2020In: Class 9

Bisectors of angles A, B and C of a triangle ABC intersect its circumcircle at D, E and F respectively. Prove that the angles of the triangle DEF are 90° -1A/2, 90°-1B/2 and 90°-1C/2.

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:8

Tejas Rana

Asked: November 3, 2020In: Class 9

Two congruent circles intersect each other at points A and B. Through A any line segment PAQ is drawn so that P, Q lie on the two circles. Prove that BP = BQ.

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:9

Tejas Rana

Asked: November 3, 2020In: Class 9

In any triangle ABC, if the angle bisector of ∠A and perpendicular bisector of BC intersect, prove that they intersect on the circumcircle of the triangle ABC.

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:10

Ishaan Khatter

Asked: November 3, 2020In: Class 9

Fill in the blanks: Fill in the blanks: The center of a circle lies in…………………. of the circle. (exterior/interior)

NCERT Solutions for Class 9 Maths Chapter 10 Important NCERT Questions Circles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 10.1 Page No:171 Questions No:1 Part:1

Yash Singh

Asked: October 30, 2020In: Class 10

How many tangents can a circle have?

NCERT Solutions for Class 10 Maths Chapter 10 Important NCERT Questions Circles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 10.1 Page No:221 Questions No:1

Poll

Yash Singh

Asked: October 30, 2020In: Class 10

A tangent PQ at a point P of a circle of radius 5 cm meets a line through the center O at a point Q so that OQ = 12 cm. Length PQ is :

NCERT Solutions for Class 10 Maths Chapter 10 Important NCERT Questions Circles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 10.1 Page No:221 Questions No:3

Yash Singh

Asked: October 30, 2020In: Class 10

Draw a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle.

NCERT Solutions for Class 10 Maths Chapter 10 Important NCERT Questions Circles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 10.1 Page No:209 Questions No:4

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.

Bisectors of angles A, B and C of a triangle ABC intersect its circumcircle at D, E and F respectively. Prove that the angles of the triangle DEF are 90° -1A/2, 90°-1B/2 and 90°-1C/2.

Two congruent circles intersect each other at points A and B. Through A any line segment PAQ is drawn so that P, Q lie on the two circles. Prove that BP = BQ.

In any triangle ABC, if the angle bisector of ∠A and perpendicular bisector of BC intersect, prove that they intersect on the circumcircle of the triangle ABC.

Fill in the blanks: Fill in the blanks: The center of a circle lies in…………………. of the circle. (exterior/interior)

How many tangents can a circle have?

A tangent PQ at a point P of a circle of radius 5 cm meets a line through the center O at a point Q so that OQ = 12 cm. Length PQ is :

Draw a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle.

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