Browse exam-wise, subject-wise, and country-wise MCQs with explanations.
Rewrite the value using base 2: 4 = 2^2. Matching exponents gives x = 2.
The dot product is 1×2+6×1=8.
An antiderivative is 1/2 x²+5x. At x=2, the value is 12.0.
f′(x)=15x²+10x. Substituting x=1 gives 25.
The coordinate differences are 3 and 4, so the distance is √(3²+4²)=5.
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There are 6 favourable outcomes out of 9 equally likely outcomes, so P(red)=6/9.
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The sum is n(n+1)/2=28, so the mean is 28/7.
aₙ=a₁+(n−1)d=8+(5−1)×1=12.
By Vieta’s formula, the sum of the roots equals the coefficient 8.
Subtract 9 from both sides and divide by 5: x = (24-9)/5 = 3.
Percentage=(8/43)×100=18.60.
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Use the circle-area formula A = πr². Substituting r = 9 gives A = π × 9² = 81π.
