Home
Class 9
MATHS
If two intersecting chords of a circle ...

If two intersecting chords of a circle make equal angles with the diameterpassing through their point of intersection, prove that the chords are equal

Text Solution

AI Generated Solution

To prove that two intersecting chords of a circle that make equal angles with the diameter passing through their point of intersection are equal, we can follow these steps: ### Step-by-Step Solution: 1. **Draw the Circle and Chords**: - Let the circle be centered at point O. - Let the two intersecting chords be AB and CD, intersecting at point E. - Draw the diameter AEQ passing through point E. ...
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    NCERT ENGLISH|Exercise EXERCISE 10.2|2 Videos

  • CIRCLES

    NCERT ENGLISH|Exercise Exercise 10.3|3 Videos

  • CIRCLES

    NCERT ENGLISH|Exercise EXERCISE 10.5|11 Videos

  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    NCERT ENGLISH|Exercise Solved Examples|4 Videos

  • CONSTRUCTIONS

    NCERT ENGLISH|Exercise EXERCISE 11.2|5 Videos

Similar Questions

Explore conceptually related problems

If two chords of a circle are equally inclined to the diameter through their point of intersection, prove that the chords are equal.

Prove Equal chords of a circle subtend equal angles at the centre.

Equal chords of a circle are equidistant from the centre.

If two equal chords of a circle intersect within the circle, prove that the line joining the point of intersection to the centre makes equal angles with the chords.

If two lines intersect prove that the vertically opposite angles are equal

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

Prove Equal chords of congruent circles subtend equal angles at the centre.

Prove that the line joining centres of two interesting circles subtends equal angles at the two points of intersection.

If a line segment joining mid-points of two chords of a circle passes through the centre of the circle, prove that the two chords are parallel.

If a line segment joining mid-points of two chords of a circle passes through the centre of the circle, prove that the two chords are parallel.