Browse exam-wise, subject-wise, and country-wise MCQs with explanations.
By Vieta’s formula, the sum of the roots equals the coefficient 14.
Subtract 9 from both sides and divide by 8: x = (65-9)/8 = 7.
Percentage=(10/25)×100=40.00.
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Use the circle-area formula A = πr². Substituting r = 7 gives A = π × 7² = 49π.
Rewrite the value using base 3: 27 = 3^3. Matching exponents gives x = 3.
The dot product is 2×4+2×6=20.
An antiderivative is 2/2 x²+1x. At x=3, the value is 12.0.
f′(x)=3x²+14x. Substituting x=2 gives 40.
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 10 equally likely outcomes, so P(red)=2/10.
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The sum is n(n+1)/2=45, so the mean is 45/9.
aₙ=a₁+(n−1)d=7+(10−1)×6=61.
