Home
Class 10
MATHS
If the diagonals of a cyclic quadrilater...

If the diagonals of a cyclic quadrilateral are perpendicular to each other, show that the line passing through the point of intersection of diagonals and midpoint of a side is perpendicular to the opposite side.

Text Solution

Verified by Experts

The correct Answer is:
`:. /_MFC=90^(@)" " " ":. " Line "` EM bot side DC.
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PROBLEM SET 3|50 Videos

  • CHALLENGING QUESTIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise SECTION 3 (MODEL QUESTION PAPER FOR PRACTICE ) Solve any one of the following subquestions :|1 Videos

  • COORDINATE GEOMETRY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Assignment 6.5|13 Videos

Similar Questions

Explore conceptually related problems

The diagonals of a square are equal and perpendicular to each other.

If the diagonals of a quadrilateral are equal and bisect each other, then the quadrilateral is a

Diagonals of a rectangle are perpendicular to each other.

The diagonals AC and BD of a cyclic quadrilateral ABCD intersect each other at the point P. Then,it is always true that

The diagonals of a rhombus are perpendicular to each other.

If the diagonals of a quadrilateral bisect each other, it is a __________.

The diagonals of a quadrilateral ABCD are perpendicular.Show that the quadrilateral, formed by joining the mid-points of its sides,is a rectangle.

Diagonals of a quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? Give a figure to justify your answer.

If the diagonals of a quadrilateral bisect each other,then the quadrilateral is a parallelogram.