Browse exam-wise, subject-wise, and country-wise MCQs with explanations.
Rewrite the value using base 3: 27 = 3^3. Matching exponents gives x = 3.
The dot product is 2×4+3×6=26.
An antiderivative is 2/2 x²+2x. At x=3, the value is 15.0.
f′(x)=6x²+16x. Substituting x=2 gives 56.
The coordinate differences are 3 and 4, so the distance is √(3²+4²)=5.
Choose an option to check your answer.
There are 3 favourable outcomes out of 11 equally likely outcomes, so P(red)=3/11.
Choose an option to check your answer.
The sum is n(n+1)/2=55, so the mean is 55/10.
aₙ=a₁+(n−1)d=7+(10−1)×6=61.
By Vieta’s formula, the sum of the roots equals the coefficient 7.
Subtract 8 from both sides and divide by 8: x = (80-8)/8 = 9.
Percentage=(5/30)×100=16.67.
Choose an option to check your answer.
Use the circle-area formula A = πr². Substituting r = 2 gives A = π × 2² = 4π.
