Browse exam-wise, subject-wise, and country-wise MCQs with explanations.
By Vieta’s formula, the sum of the roots equals the coefficient 18.
Subtract 7 from both sides and divide by 8: x = (31-7)/8 = 3.
Percentage=(7/32)×100=21.88.
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Use the circle-area formula A = πr². Substituting r = 6 gives A = π × 6² = 36π.
Rewrite the value using base 2: 4 = 2^2. Matching exponents gives x = 2.
The dot product is 1×2+4×1=6.
An antiderivative is 1/2 x²+3x. At x=2, the value is 8.0.
f′(x)=9x²+14x. Substituting x=1 gives 23.
The coordinate differences are 3 and 4, so the distance is √(3²+4²)=5.
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There are 4 favourable outcomes out of 7 equally likely outcomes, so P(red)=4/7.
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The sum is n(n+1)/2=45, so the mean is 45/9.
aₙ=a₁+(n−1)d=5+(5−1)×1=9.
