Home
Class 10
MATHS
The bisectors of the angles A, B of Delt...

The bisectors of the angles A, B of `DeltaABC` intersect in I, the bisectors of the corresponding exterior angles intersect in E. Prove thar `squareAIBE` is cycle.

Text Solution

Verified by Experts

The correct Answer is:
`thereforesquareAIBE` is cyclic
Promotional Banner

Topper's Solved these Questions

  • CHALLENGING QUESTIONS

    CHETAN PUBLICATION|Exercise Geometric Constructions|6 Videos
  • CHALLENGING QUESTIONS

    CHETAN PUBLICATION|Exercise Co-ordinate Geometry|6 Videos
  • CHALLENGING QUESTIONS

    CHETAN PUBLICATION|Exercise Theorem of Pythagoras|7 Videos
  • ARITHMETIC PROGRESSION

    CHETAN PUBLICATION|Exercise ASSIGENMENT -3|10 Videos
  • CIRCLE

    CHETAN PUBLICATION|Exercise Assignment - 3 (Solve any two of the following questions):|3 Videos

Similar Questions

Explore conceptually related problems

If AD is the bisector of angle A then AC is

In the adjoining figure, two circles intersect each other at points A and E . Their common secant through E intersects the circle at points B and D . The tangents of the circles at point B and D intersect each other at point C . Prove that squareABCD is cyclic .

Construct the bisector of a given angle ABC.

If the bisector of angle A of the triangle ABC makes an angle theta with BC , then sintheta=

If a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel, then prove that the two lines are parallel.

State and prove angle bisector theorem.

In a parallelogram ABCD, the bisectors of the consecutive angles angleA and angleB intersect at P. Show that angleAPB=90^(@) .

If a quadrilateral ABCD, the bisector of angleC angleD intersect at O. Prove that angleCOD=(1)/(2)(angleA+angleB)

The internal bisector of angle A of Delta ABC meets BC at D and the external bisector of angle A meets BC produced at E. Prove that (BD)/(BE) = (CD)/(CE) .