Home
Class 12
MATHS
Which one is an irrational number?...

Which one is an irrational number?

A

(a)`22/7`

B

(b) `pi`

C

(c) 2

D

(d)`root _(36) `

Text Solution

Verified by Experts

The correct Answer is:
A
Put `Delta=0 implies lamda^(7)+lamda^(3)+2lamda-sinlamda=0`
Let `f(lamda)=lamda^(7)+lamda^(3)+2lamda-sinlamda`
`impliesf(lamda)=(7lamda^(6)+3lamda^(2)+2-coslamda) gt0, AA in R`
`thereforef(lamda)=0` has only one real solution `lamda=0`.
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise For Session 1|7 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise For Session 2|17 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

sqrt5 is an irrational number.

Are the following pairs of statements negations of each other: The number x is a rational number. The number x is an irrational number.

2sqrt3 is an irrational number.

If x and y be rational and irrational numbes respectively. Is x+y necessarily an irrational number? Given an example in support of your answer.

Are the following pairs of the statement negation of each other The number x is not a rational number The number is x is not an irrational number

Let r be a rational number and x be an irrational number. Use proof by contradiction to show that r + x is an irrational number.

If a is an irrational number which is divisible by b, then the number b

The product of a non-zero rational number and an irrational number is irrational.

The decimal representation of an irrational number is

Check the validity of the statement given below by the method given against it. The sum of an irrational number and a rational number is irrational.