Home
Class 9
MATHS
In figure, bar(AB) is a diameter of the ...

In figure, `bar(AB)` is a diameter of the circle, `bar(CD)` is a chord equal to the radius of the circle. `bar(AC)` and `bar(BD)` when extended intersect at a point E. Prove that `angle AEB = 60^@`.

Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    NCERT BANGLISH|Exercise DO THIS|2 Videos

  • CIRCLES

    NCERT BANGLISH|Exercise TRY THIS|3 Videos

  • AREAS

    NCERT BANGLISH|Exercise EXERCISE 11.3|9 Videos

  • CO-ORDINATE GEOMETRY

    NCERT BANGLISH|Exercise Try These|2 Videos

Similar Questions

Explore conceptually related problems

In the adjoining figure, O is the centre of a circle and AB is one of its diameters. The legth of the chrod CD is equal to the radius of the circle. When AC and BD are extended, they intersect each other at a point P. find the value of angle APB

ABCD is a parallelogram and P is the midpoint of the side bar(BC) . Prove that bar(AC) " and " bar(DP) meet in a common point of trisection.

AOB is a diamter of a circle. When the chords AC and BD are extended they meet at the point E. if angle COD=40^(@) , then the value of angle CED is

AB is a diameter of a circle. CD is a chord parallel to AB and 2CD = AB . The tangent at B meets the line AC produced at E then AE is equal to -

PQ is a diameter of a circle and AB is such a chord of it that it is perpendicular to PQ . If C be the point of intersection of PQ and AB , then prove that PC.QC=AC.BC .

If two chords AB and CD of a circle with centre, O, when producd intersect each other at the point P, prove that angle AOC- angle BOD=2 angle BPC .

In the figure, O is the centre and BOA is a diameter of the circle. A tangent drawn to the circels at the point P intersects the extended BA at the point T. If angle PBO=30^(@), find the value of angle PAT.

AB is a diameter and AC is a chord of the circle with centre at Q. the radius parallel to AC intersect the circle at D. Prove that D is the mid-point of the are BC.

AB is a diameter of a circle with centre O . A line drawn through the point A intersects the circle at the point C and the tangent through B at the point D . Prove that (a) BD^(2)=AD.DC . (b) The area of the rectangle of formed by AC and AD for any straight line is always equal.

Delta ABC is an acute angle triangle inscribed in a circle in a circle .AD is a diameter of the circle . Two perpendiculars BE and CF are drawn from B and C to AC and AB respectively , which intersect each other at the point G . Prove that BDCG is a parallelogram.