Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 3 - Sequence and Series>Target Exercises>Q 106

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JEE Advanced

IMPORTANT

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If $\log (a + c), \log (c - a)$ and $\log (a - 2 b + c)$ are in $AP$ , then

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Important Questions on Sequence and Series

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 3 - Sequence and Series>Target Exercises>Q 107

If

\cos (x - y), \cos x

and

\cos (x + y)

are in

HP

, then

\cos x \sec (\frac{y}{2})

is equal to

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 3 - Sequence and Series>Target Exercises>Q 108

\log_{3} 2, \log_{6} 2

and

\log_{12} 2

are in

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 3 - Sequence and Series>Target Exercises>Q 109

If

a, b

and

c

are in

HP

, then correct statement is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 3 - Sequence and Series>Target Exercises>Q 110

The

AM, GM

and

HM

of two numbers are

x, y

and

z

, respectively. Then, which of the following is true?

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 3 - Sequence and Series>Target Exercises>Q 111

If

a, b

and

c

are in

HP

, then the straight line

\frac{x}{a} + \frac{y}{b} + \frac{1}{c} = 0

always passes through a fixed point and that point is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 3 - Sequence and Series>Target Exercises>Q 112

Let

a_{1}, a_{2}, \dots, a_{10}

be in

AP

and

h_{1}, h_{2}, \dots, h_{10}

be in

HP

. If

a_{1} = h_{1} = 2

and

a_{10} = h_{10} = 3

, then

a_{4} h_{7}

is

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 3 - Sequence and Series>Target Exercises>Q 113

If

x, y

and

z

are in

HP

, where

z > y > x

. Then, value of

\log (x + z) + \log (x - 2 y + z)

is

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 3 - Sequence and Series>Target Exercises>Q 114

If

H_{1}, H_{2}, H_{3}, \dots, H_{2 n + 1}

are in

HP

, then

\sum_{i = 1}^{2 n} {(- 1)}^{i} (\frac{H_{i} + H_{i + 1}}{H_{i} - H_{i + 1}})

is equal to