JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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p^{\text {th }}, q^{\text {th }}, r^{\text {th }}

, terms of a G.P. are the positive numbers

a, b, c

respectively then angle between the vectors

\log a^3 \hat{i}+\log b^3 \hat{j}+\log c^3 \hat{k}

and

(q-r) \hat{i}+(r-p) \hat{j}+(p-q) \hat{k}

is:

View answer and explanation

Correct option: A

\frac{\pi}{2}

Option A (

\frac{\pi}{2}

) is the correct answer because the dot product of the two vectors is zero, indicating they are orthogonal.

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A=\{1,2,3\}, B=\{3,4\}, C=\{4,5,6\}

{A} \cup({B} \cap {C})

A-(B \cap C)

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a,x,b

b,y,c

{x^2},{b^2},{y^2}

P(x)=1-x+x^2-x^3+\ldots+x^{2012}

y

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y=x-2

\sum\limits_{{i=0}}^{2012} a_i

\log \left(\frac{5 c}{a}\right), \log \left(\frac{3 b}{5 c}\right)

\log \left(\frac{a}{3 b}\right)

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\frac{3}{4}