Browse exam-wise, subject-wise, and country-wise MCQs with explanations.
Rewrite the value using base 4: 256 = 4^4. Matching exponents gives x = 4.
The dot product is 3×4+3×3=21.
An antiderivative is 3/2 x²+2x. At x=4, the value is 32.0.
f′(x)=6x²+14x. Substituting x=3 gives 96.
The coordinate differences are 3 and 4, so the distance is √(3²+4²)=5.
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There are 3 favourable outcomes out of 8 equally likely outcomes, so P(red)=3/8.
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The sum is n(n+1)/2=45, so the mean is 45/9.
aₙ=a₁+(n−1)d=10+(7−1)×3=28.
By Vieta’s formula, the sum of the roots equals the coefficient 14.
Subtract 11 from both sides and divide by 7: x = (46-11)/7 = 5.
Percentage=(10/45)×100=22.22.
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Use the circle-area formula A = πr². Substituting r = 3 gives A = π × 3² = 9π.
