A and b are the center of the two circle.Pqr common tangent.Points a,b,c lies on straight line and distance between p and q is 24m.Diameter of the larger circle is 24m.What is the ratio of area of triangle apr and bpr
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Two circles touch each other at point C. Prove that the common tangent to the circles at C, bisects the common tangent P & Q
We know that tangents drawn from an external point to a circle are equal in length.
So, PA = PC and PB = PC
⇒PA = PB so, P is the mid point of AB
Similarly, DQ = QC and QE = QC
⇒DQ = QE so, Q is the mid point of DE.
Thus, the common tangent at point C bisects the common tangents at P and Q.
I hope this will help you
if not then comment me
Two circles touch each other at point C. Prove that the common tangent to the circles at C, bisects the common tangent P & Q
We know that tangents drawn from an external point to a circle are equal in length.
So, PA = PC and PB = PC
⇒PA = PB so, P is the mid point of AB
Similarly, DQ = QC and QE = QC
⇒DQ = QE so, Q is the mid point of DE.
Thus, the common tangent at point C bisects the common tangents at P and Q.
I hope this will help you
if not then comment me
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