WBCHSE Mathematics for Class 11>Chapter 32 - Sequences and Series (AP, GP, HP)>EXERCISE 1>Q 99

HARD

11th West Bengal Board

IMPORTANT

Earn 100

If $x = 1 + a + a^{2} + \dots \infty$ and $y = 1 + b + b^{2} + \dots \infty$ , where $| a | < 1 and | b | < 1$ , then $(1 + a b + a^{2} b^{2} + \dots \infty) = ?$

50% studentsanswered this correctly

Important Questions on Sequences and Series (AP, GP, HP)

MEDIUM

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 32 - Sequences and Series (AP, GP, HP)>EXERCISE 1>Q 100

If

x = (a + \frac{a}{r} + \frac{a}{r^{2}} + \dots \infty)

,

y = (b - \frac{b}{r} + \frac{b}{r^{2}} - \dots \infty)

and

z = (c + \frac{c}{r^{2}} + \frac{c}{r^{4}} + \dots \infty)

, then

\frac{x y}{z} = ?

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 32 - Sequences and Series (AP, GP, HP)>EXERCISE 1>Q 101

If

a, b, c

are in A.P

; a, x, b

and

b, y, c

are in G.P, then

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

are in

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 32 - Sequences and Series (AP, GP, HP)>EXERCISE 1>Q 102

If

a, b, c

are in A.P and

a, b, d

are in G.P, then

a, (a - b), (d - c)

are in

MEDIUM

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 32 - Sequences and Series (AP, GP, HP)>EXERCISE 1>Q 103

If

p^{th}, q^{th}

and

r^{th}

terms of a GP be

a, b, c

respectively then

a^{(q - r)} \cdot b^{(r - p)} \cdot c^{(p - q)} = ?

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 32 - Sequences and Series (AP, GP, HP)>EXERCISE 1>Q 104

If

a, b, c

are in A.P, then

b c, c a, a b

are in

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 32 - Sequences and Series (AP, GP, HP)>EXERCISE 1>Q 105

If

a^{2}, b^{2}, c^{2}

are in A.P, then

(b + c), (c + a), (a + b)

are in

MEDIUM

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 32 - Sequences and Series (AP, GP, HP)>EXERCISE 1>Q 106

If

a, b, c

are in A.P, then

\frac{a (b + c)}{b c}, \frac{b (c + a)}{c a}, \frac{c (a + b)}{a b}

are in

MEDIUM

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 32 - Sequences and Series (AP, GP, HP)>EXERCISE 1>Q 107

If

\frac{(b + c - a)}{a}, \frac{(c + a - b)}{b}, \frac{(a + b - c)}{c}

are in A.P, then

a, b, c

are in