CAT 2019 Geometry & Mensuration Question (Hard)

Question

In a circle of radius 11 cm, CD is a diameter and AB is a chord of length 20.5 cm. If AB and CD intersect at a point E inside the circle and CE has length 7 cm, then the difference of the lengths of BE and AE, in cm, is

Accepted Answer

! https optima-learn.b-cdn.net quantPyqImages img_1751025778377_0.jpg Step 1 Given - Radius 11 cm Diameter CD 22 cm - AB is a chord of length 20.5 cm - CD and AB intersect at point E - CE 7 cm Let DE x So, CD CE DE 7 x 22 x 15 DE 15 cm Step 2 By Intersecting Chords Theorem CE DE AE BE 7 15 AE BE 105

CAT 2019

Quantitative

Geometry & Mensuration

Hard

In a circle of radius 11 cm, CD is a diameter and AB is a chord of length 20.5 cm. If AB and CD intersect at a point E inside the circle and CE has length 7 cm, then the difference of the lengths of BE and AE, in cm, is

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