The multiplication of a rational number ...

The multiplication of a rational number `x` and an irrational number `y` is

always rational

rational except when `y = pi`

always irrational

irrational except when ` x = 0 `

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MOTION-BASIC MATHEMATIC & LOGARITHM -Exercise - 1

If A & B are two rational numbers and AB, A + B and A -B are rational ...
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Every irrational number can be expressed on the number line. This stat...
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The multiplication of a rational number x and an irrational number ...
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If a,b,c are real, then a(a - b) + b ( b - c) + c ( c - a) = 0 , only ...
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If x - a is a factor of x^(3) - a^(2)x + x + 2 , then 'a' is equal...
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If 2x^(3)-5x^(2)+x+2=(x-2)(ax^(2)-bx-1), then a & b are respectively :
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If x, y are rational numbers such that x+ y+(x-2y)sqrt2=2x-y+(x-y-1)sq...
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[2/log4(2000)^6+3/log5(2000)^6]
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1/(1 + log(b) a + log(b) c)+ 1/(1 + log(c)a + log(c)b) + 1/(1 + log(a)...
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The greatest integer less than or equal to the number log2(15)xx log(...
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Anti logarithm of 0.75 to the base 16 has the value equal to
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The number log(2) 7 is
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The retio (2^(log(2^1/4)) a-3log27(a^2+1)^3-2a)/(7^(4log49 a-a-1) s...
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1/(log(sqrt(bc))abc)+1/(log(sqrt(ca))abc)+1/(log(sqrt(ab))abc) has the...
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If 3^(2 log3 x)-2x-3=0, then the number of values of 'x' satisfying th...
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If logx log18 (sqrt2+sqrt8)=1/3. Then the value of 1000 x is equal to
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Number of real solution(s) of the equation |x-3|^(3x^2-10x+3)=1 is :
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Number of real solution of the equation sqrt(log(10)(-x)) = log(10) sq...
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Solve for x: log(4) log(3) log(2) x = 0.
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2 log(4) (4 - x) = 4 - log(2) ( - 2 - x).
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