9:{"metadata":[["$","title","0",{"children":"iimkbmsat0025 - If the radii of two concentric circles are 4 cm and 5 cm, then the length of a chord of one circle that is tangent to the other circle is | PYQs + Solutions | AfterBoards"}],["$","meta","1",{"name":"description","content":"undefined Given: Two concentric circ<=s with radii 4 cm and 5 cm. We need to find the chord of the outer circ<= that is tan>=nt to the inner circ<=.

When a chord is tan>=nt to a circ<=, the perpendicular distance from the center to the chord equals the radius of that circ<=. Distance from center O to chord AB = 4 cm

Let M be the point where the chord touches the inner circ<=. In right triang<= OMA: - OM = 4 cm (perpendicular distance) - OA = 5 cm (radius of outer circ<=) - AM = \\ ? Using Pythagorean theorem: OA^2 = OM^2 + AM^2 5^2 = 4^2 + AM^2 25 = 16 + AM^2 AM^2 = 9 AM = 3 cm

Since the perpendicular from center bisects the chord: AM = MB = 3 cm Total chord <=ngth: AB = AM + MB = 3 + 3 = 6 cm The chord <=ngth is 6 cm."}],["$","link","2",{"rel":"manifest","href":"https://www.afterboards.in/manifest.json","crossOrigin":"$undefined"}],["$","meta","3",{"name":"keywords","content":"IIM-K (BMSAT),QA,Geometry,Circles"}],["$","meta","4",{"name":"robots","content":"index, follow"}],["$","meta","5",{"name":"category","content":"education"}],["$","meta","6",{"name":"google-site-verification","content":"google"}],["$","meta","7",{"property":"og:title","content":"iimkbmsat0025 - If the radii of two concentric circles are 4 cm and 5 cm, then the length of a chord of one circle that is tangent to the other circle is | PYQs + Solutions"}],["$","meta","8",{"property":"og:description","content":"undefined Given: Two concentric circ<=s with radii 4 cm and 5 cm. We need to find the chord of the outer circ<= that is tan>=nt to the inner circ<=.

When a chord is tan>=nt to a circ<=, the perpendicular distance from the center to the chord equals the radius of that circ<=. Distance from center O to chord AB = 4 cm

Since the perpendicular from center bisects the chord: AM = MB = 3 cm Total chord <=ngth: AB = AM + MB = 3 + 3 = 6 cm The chord <=ngth is 6 cm."}],["$","meta","9",{"property":"og:url","content":"/iimk-bmsat-past-year-questions/2025/QA/38"}],["$","meta","10",{"property":"og:site_name","content":"AfterBoards | JIPMAT Preparation"}],["$","meta","11",{"property":"og:image","content":"https://www.afterboards.in/pyp/AfterBoards%20CUET%20Past%20Year%20Papers%20with%20Solutions.webp"}],["$","meta","12",{"property":"og:type","content":"website"}],["$","meta","13",{"name":"twitter:card","content":"summary_large_image"}],["$","meta","14",{"name":"twitter:site","content":"afterboards.in"}],["$","meta","15",{"name":"twitter:title","content":"iimkbmsat0025 - If the radii of two concentric circles are 4 cm and 5 cm, then the length of a chord of one circle that is tangent to the other circle is | PYQs + Solutions"}],["$","meta","16",{"name":"twitter:description","content":"undefined Given: Two concentric circ<=s with radii 4 cm and 5 cm. We need to find the chord of the outer circ<= that is tan>=nt to the inner circ<=.

When a chord is tan>=nt to a circ<=, the perpendicular distance from the center to the chord equals the radius of that circ<=. Distance from center O to chord AB = 4 cm

Since the perpendicular from center bisects the chord: AM = MB = 3 cm Total chord <=ngth: AB = AM + MB = 3 + 3 = 6 cm The chord <=ngth is 6 cm."}],"$L18","$L19","$L1a","$L1b","$L1c","$L1d","$L1e","$L1f","$L20","$L21"],"error":null,"digest":"$undefined"}

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