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The centre of a circle is(2a-1,7) …

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The centre of a circle is(2a-1,7) and it passes through the point (-3,-1).if the diameter of the circle is 20 units.the find the value(s) of a

Posted by Satyam Raj Raj 6 years, 7 months ago

CBSE > Class 10 > Mathematics

2 answers

Ram Kushwah 6 years, 7 months ago

Let O(2a-1,7) is the center and A(-3,-1) is on the circumference then

OA=r=20/2=10

{tex}\begin{array}{l}OA^2=10^2=100\\or\;\;(2a-1+3)^2+(7+1)^2=100\\\;\;(2a+2)^2+64=100\\4a^2+8a+4+64=10\\4a^2+8a-32=0\\a^2+2a-8=0\\(a+4)(a-2)=0\\Hene\;a=-4\;and\;2\end{array}{/tex}

1Thank You

Gawsic Varun 6 years, 7 months ago

I dont know

2Thank You

ANSWER

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CBSE > Class 10 > Mathematics