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+5×3=19.
An antiderivative is 1/2 x²+4x. At x=2, the value is 10.0.
f′(x)=12x²+14x. Substituting x=1 gives 26.
The coordinate differences are 3 and 4, so the distance is √(3²+4²)=5.
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There are 5 favourable outcomes out of 10 equally likely outcomes, so P(red)=5/10.
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The sum is n(n+1)/2=45, so the mean is 45/9.
aₙ=a₁+(n−1)d=7+(13−1)×3=43.
By Vieta’s formula, the sum of the roots equals the coefficient 10.
Subtract 8 from both sides and divide by 7: x = (29-8)/7 = 3.
Percentage=(12/27)×100=44.44.
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Use the circle-area formula A = πr². Substituting r = 5 gives A = π × 5² = 25π.
