Question

Two Circles with centres O and O' intersect at two points A and B. Two chords are drawn through A to intersect the circles at points C and C, respectively, such that CBC is a straight line and AB is perpendicular to CBC. Prove that 00'= CBC. Prove that OO =½ CBC​

Answer 1

Answer:

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Two circles with centres O and O

′

intersect at two points A and B. A line PQ is drawn parallel to OO

′

through A or B, intersecting the circles at P and Q. Prove that PQ=2OO

′

.

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Solution

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Construct OM⊥PQ and O

′

N⊥PQ

So we get

OM⊥AP

We know that the perpendicular from the centre of a circle bisects the chords

We know that

O

′

N⊥AQ

We know that the perpendicular frmo the centre of a circle bisects the chord

AN=QN

It can be written as

AQ=2AN...(2)

So we get

PQ=AP+PQ

By substituting the values

PQ=2(AM+AN)

We get

PQ=2MN

From the figure we know that MNO

′

O is a rectangle

PQ=2OO

′

Therefore, it is proved that PQ=2OO

′

hope itz help uh

Answer 2

Answer:

nhi krungi abh se aapse abh se gussa hun bhai

Explanation:

Albert Einstein by Karin Ireland tells the story of Albert Einstein’s life. Albert Einstein was an incredibly smart scientist who was born in Germany. He made many observations including finding a flaw in one of Isaac Newton’s laws, a law about gravity pulling on things without mass. After many years of hard work and negativity directed at him, he finally became successful and famous for all his findings and intelligence. Albert Einstein was a very successful man for being inquisitive, intelligent, and devoted. One character trait of Albert Einstein that he couldn’t have become so successful without was him being so inquisitive. While at school, he was always bored out of his mind because the lessons were always too easy and boring.