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 1×4+6×3=22.
An antiderivative is 1/2 x²+5x. At x=2, the value is 12.0.
f′(x)=15x²+8x. Substituting x=1 gives 23.
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 11 equally likely outcomes, so P(red)=6/11.
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The sum is n(n+1)/2=21, so the mean is 21/6.
aₙ=a₁+(n−1)d=10+(13−1)×3=46.
By Vieta’s formula, the sum of the roots equals the coefficient 16.
Subtract 11 from both sides and divide by 4: x = (15-11)/4 = 1.
Percentage=(8/33)×100=24.24.
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Use the circle-area formula A = πr². Substituting r = 5 gives A = π × 5² = 25π.
