MATHEMATICS for CLASS XI>Chapter 20 - Geometric Progressions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 3

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IMPORTANT

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If $a, b, c$ are in A.P. and $x, y, z$ are in G.P., then the value of $x^{b - c} y^{c - a} z^{a - b}$ is

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Important Questions on Geometric Progressions

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IMPORTANT

MATHEMATICS for CLASS XI>Chapter 20 - Geometric Progressions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 4

The first three of four given numbers are in G.P. and their last three are in A.P. with common difference

6

. If first and fourth numbers are equal, then the first number is

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MATHEMATICS for CLASS XI>Chapter 20 - Geometric Progressions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 5

If

a, b, c

are in G.P. and

a^{1 / x} = b^{1 / y} = c^{1 / z},

then

x y z

are in

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MATHEMATICS for CLASS XI>Chapter 20 - Geometric Progressions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 6

If

S

be the sum,

P

the product and

R

be the sum of the reciprocals of

n

terms of a GP, then

P^{2}

is equal to

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MATHEMATICS for CLASS XI>Chapter 20 - Geometric Progressions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 7

The fractional value of

2.357

is

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IMPORTANT

MATHEMATICS for CLASS XI>Chapter 20 - Geometric Progressions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 8

If

p^{t h}

,

q^{t h}

and

r^{t h}

terms of an A.P. are in G.P., then the common ratio of this G.P. is

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IMPORTANT

MATHEMATICS for CLASS XI>Chapter 20 - Geometric Progressions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 9

The value of

9^{1 / 3} \cdot 9^{1 / 9} \cdot 9^{1 / 27} \dots

to

\infty

is

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MATHEMATICS for CLASS XI>Chapter 20 - Geometric Progressions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 10

The sum of an infinite G.P. is

4

and the sum of the cubes of its terms is

92

. The common ratio of the original G.P. is

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IMPORTANT

MATHEMATICS for CLASS XI>Chapter 20 - Geometric Progressions>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 11

If the sum of first two terms of an infinite GP is

1

and every term is twice the sum of all the successive terms, then its first term is