Question
Download Solution PDFचित्र में दर्शाए अनुसार, केंद्र O वाले अर्धवृत्त में, अनुपात \(\frac{{\overline {AC} + \overline {CB} }}{{\overline {AB} }}\) _____ है, जहाँ \(\overline {AC} ,\;\overline {CB} \;\;और\;\;\overline {AB} \) जीवाएँ हैं।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFमान लीजिए अर्धवृत्त की त्रिज्या r है जैसा कि नीचे दिए गए चित्र में दिखाया गया है।
अब, OA = OC = OB = r
AB = OA + OB = 2r
\(\overline {AC} = \sqrt {{{\left( {OA} \right)}^2} + {{\left( {OC} \right)}^2}} = \sqrt {{r^2} + {r^2}} = \sqrt 2 r\)
\(\overline {BC} = \sqrt {{{\left( {OB} \right)}^2} + {{\left( {OC} \right)}^2}} = \sqrt {{r^2} + {r^2}} = \sqrt 2 r\)
अनुपात \(\frac{{\overline {AC} + \overline {CB} }}{{\overline {AB} }} = \frac{{\sqrt 2 r + \sqrt 2 r}}{{2r}} = \sqrt 2 \)Last updated on Feb 19, 2024
-> GATE EE 2024 Answer Key has been released.
-> The exam was held on 3rd, 4th, 10th and 11th February 2024.
-> Candidates preparing for the exam can refer to the GATE EE Important Questions to improve their preparation for the exam and increase their chances of selection.
-> Candidates must take the GATE EE mock tests to improve their performance.
-> Practice GATE EE Previous Year Papers to kickstart preparation for the upcoming cycle.