Browse exam-wise, subject-wise, and country-wise MCQs with explanations.
By Vieta’s formula, the sum of the roots equals the coefficient 12.
Subtract 5 from both sides and divide by 6: x = (11-5)/6 = 1.
Percentage=(5/30)×100=16.67.
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Use the circle-area formula A = πr². Substituting r = 4 gives A = π × 4² = 16π.
Rewrite the value using base 4: 256 = 4^4. Matching exponents gives x = 4.
The dot product is 3×3+2×5=19.
An antiderivative is 3/2 x²+1x. At x=4, the value is 28.0.
f′(x)=3x²+10x. Substituting x=3 gives 57.
The coordinate differences are 3 and 4, so the distance is √(3²+4²)=5.
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There are 2 favourable outcomes out of 9 equally likely outcomes, so P(red)=2/9.
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The sum is n(n+1)/2=28, so the mean is 28/7.
aₙ=a₁+(n−1)d=3+(15−1)×5=73.
