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  • 2. Three circles with centres A, B and C touch externally each other. The radius of circle with centre Ais x cm, radius of circle with centre B has radius 6 cm and with centre C has radius 20cm.If angle BAC is 90 frame an equation in x

2. Three circles with centres A, B and C touch externally each other. The radius of circle with centre Ais x cm, radius of circle with centre B has radius 6 cm and with centre C has radius 20cm.If angle BAC is 90 frame an equation in x

 

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Given;that; riangle ABC;is;right;angle;triangle;and;angle BAC=90^circ\* consider;the;figure\* In; riangle ABC\* BC^2=AB^2+AC^2\*AC=20+x\* AB=6+x\* BC=20+6=26;cm\* 26^2=(x+20)^2+(x+6)^2\* Rightarrow 676=400+x^2+40x+36+x^2+12x \*Rightarrow 2x^2+52x-240=0\*Rightarrow x^2+26x-120=0\* herefore x^2+26x-120=0;is;the;required;equation;in;x

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Deependra Verma

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