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Quantitative Aptitude

Sum of Consecutive Numbers

If a/b+c=b/c+...

Question

If then, r cannot take any value except :(CAT 2004)

A

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B

-1

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C

½ or -1

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D

-1/2 or -1

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Solution

The correct option is C ½ or -1
Option (c)
As
(Assuming a + b + c ≠ 0)
If a + b + c = 0
(by adding and subtracting a in the denominator) =
(similarly = -1)
Hence r can take only ½ or -1 as values. Choice (c)

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\frac{a}{b + c} = \frac{b}{c + a} = \frac{c}{a + b} = r

then, r cannot take any value except :(CAT 2004)

\to a, \to b, \to c

be three non-coplanar vectors and

\to r

be any arbitrary vector, then

(\to a \times \to b) \times (\to r \times \to c) + (\to b \times \to c) \times (\to r \times \to a) + (\to c \times \to a) \times (\to r \times \to b)

\to a, \to b, \to c

are three non coplanar, non zero vectors and

\to r

is any vector in space, then

(\to a \times \to b) \times (\to r \times \to c) + (\to b \times \to c) \times (\to r \times \to a) + (\to c \times \to a) \times (\to r \times \to b)

λ [\to a \to b \to c]

. Then the value of

λ

x = A {sin}^{2} ω t + B {cos}^{2} ω t + C sin ω t cos ω t

represents SHM -

r > 1

x = a + a / r + a / r^{2} + . . ., y = b + b / r + b / r^{2} + . . .

z = c + c / r + c / r^{2} + . . .,

x y / z^{2}

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