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CUET PG MCA PYQ
List I List II
A. Kailash Satyarthi I. Chemistry
B. Abhijit Banerjee II. Peace
C. Vinkatraman Ramakrishnan III. Physics
D. Subrahmanyan Chandrasekhar IV. Economics






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Solution

List I List II
A. Kailash Satyarthi II. Peace
B. Abhijit Banerjee IV. Economics
C. Venkatraman Ramakrishnan I. Chemistry
D. Subrahmanyan Chandrasekhar III. Physics
CUET PG MCA PYQ
The value of $; e^{\log 10 \tan 1^\circ + \log 10 \tan 2^\circ + \log 10 \tan 3^\circ + \cdots + \log 10 \tan 89^\circ} ;$ is





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Solution

Using property: $\log a + \log b = \log(ab)$ So expression becomes: $e^{\log 10 \left(\tan 1^\circ \tan 2^\circ \cdots \tan 89^\circ\right)}$ Using identity: $\tan \theta \tan (90^\circ-\theta) = 1$ All terms cancel pairwise: $\tan 1^\circ \tan 89^\circ \cdot \tan 2^\circ \tan 88^\circ \cdots = 1$ Thus exponent becomes $\log 10 (1)=0$ So value $= e^0 = 1$
CUET PG MCA PYQ
Math List I with List II : $\omega \ne1$ is a cube root of unity.
 LIST I LIST II
A. $\log _4(\log _3(81))=$I. 0 
B. ${3}^{4\log _9(7)}={7}^k$, then k =II. 3 
C. ${2}^{\log _3(5)}-{5}^{\log _3(2)}=$ III. 1
D. $\log _2[\log _2(256)]=$IV. 2
Choose the correct answer from the options given below:





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Solution


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