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Deepak

· started a discussion

· 1 Months ago

ye baat hai or itne comment aa rahe hai respond karlo. you people totally justify that you are purely indian, renowned for unprofessionalism. good work keep it up.

Question:

ABCD is a rhombus and O is the point of intersection of the diagonals AC and BD. The locus of a point which is equidistance from AB and AD is:

Options:
A) AC
B) BD
C) CB
D) CD
Solution:
Ans: (a)

Knowledge Expert

· commented

· 1 Months ago

Dear Student,

If ABCD is rhombus
Diagonals = AC and BD. and intersection of diagonals is O.

We get, Triangle ABO and ADO
In both triangle -
angle AOB and AOD = 90 because diagonals of rhombus are perpendicular to each other.
AO =AO common sides.
AB= AD sides of rhombus are equal.
By side angle side triangle AOB congruence of triangle ADO.
angle BAO = angle DAO. By correspondent angle of congruent

AC bisector of angle BAD.
thus required locus of AC which lies on the bisector of BAD which equidistant from AB and AD.


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