Maths-
General
Easy
Question
If
and
, then x =
- –1
- 1
- 0
- 2
The correct answer is: 1
![vertical line a d j A vertical line](data:image/png;base64,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)
(As given)
or
.
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and
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If
, then x =
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If
are three consecutive positive integers, then ![fraction numerator 1 over denominator 2 end fraction log subscript e end subscript invisible function application x plus fraction numerator 1 over denominator 2 end fraction log subscript e end subscript invisible function application z plus fraction numerator 1 over denominator 2 x z plus 1 end fraction plus fraction numerator 1 over denominator 3 end fraction open parentheses fraction numerator 1 over denominator 2 x z plus 1 end fraction close parentheses to the power of 3 end exponent plus.... equals](data:image/png;base64,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)
If
are three consecutive positive integers, then ![fraction numerator 1 over denominator 2 end fraction log subscript e end subscript invisible function application x plus fraction numerator 1 over denominator 2 end fraction log subscript e end subscript invisible function application z plus fraction numerator 1 over denominator 2 x z plus 1 end fraction plus fraction numerator 1 over denominator 3 end fraction open parentheses fraction numerator 1 over denominator 2 x z plus 1 end fraction close parentheses to the power of 3 end exponent plus.... equals](data:image/png;base64,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)
Maths-General
Maths-
The value of
is
The value of
is
Maths-General
Maths-
The sum of the products of the elements of any row of a determinant A with the same row is always equal to
The sum of the products of the elements of any row of a determinant A with the same row is always equal to
Maths-General
Maths-
is divisor of
is divisor of
Maths-General
Maths-
If
,then the value of k is
If
,then the value of k is
Maths-General
Maths-
The value of the determinant
is
The value of the determinant
is
Maths-General