Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

The coefficient of $x$ in the expansion of $open parentheses 1 plus x close parentheses open parentheses 1 plus 2 x close parentheses open parentheses 1 plus 3 x close parentheses horizontal ellipsis horizontal ellipsis left parenthesis 1 plus 100 x right parenthesis$ is

5050
10100
5151
4950

The correct answer is: 5050

The coefficient of $x$ in the expansion of
$open parentheses 1 plus x close parentheses open parentheses 1 plus 2 x close parentheses open parentheses 1 plus 3 x close parentheses$ … $open parentheses 1 plus 100 x close parentheses$
$equals 1 plus 2 plus 3 plus$ …. $plus 100$
$fraction numerator 100 left parenthesis 100 plus 1 right parenthesis over denominator 2 end fraction equals 50 cross times 101 equals 5050$

Related Questions to study

$I f blank open vertical bar x close vertical bar less than fraction numerator 1 over denominator 2 end fraction comma blank t h e n blank t h e blank c o e f f i c i e n t blank o f blank x to the power of r end exponent blank i n blank t h e blank e x p a n s i o n blank o f fraction numerator 1 plus 2 x over denominator left parenthesis 1 minus 2 x right parenthesis to the power of 2 end exponent end fraction comma blank i s$

$I f blank open vertical bar x close vertical bar less than fraction numerator 1 over denominator 2 end fraction comma blank t h e n blank t h e blank c o e f f i c i e n t blank o f blank x to the power of r end exponent blank i n blank t h e blank e x p a n s i o n blank o f fraction numerator 1 plus 2 x over denominator left parenthesis 1 minus 2 x right parenthesis to the power of 2 end exponent end fraction comma blank i s$

In the expansion of $left parenthesis 1 plus x plus x to the power of 2 end exponent plus x to the power of 3 end exponent right parenthesis to the power of 6 end exponent comma$ then coefficient of $x to the power of 14 end exponent$ is

In the expansion of $left parenthesis 1 plus x plus x to the power of 2 end exponent plus x to the power of 3 end exponent right parenthesis to the power of 6 end exponent comma$ then coefficient of $x to the power of 14 end exponent$ is

A person can see clearly only upto 3m. What will be power of his spectacles lens, so that he can see clearly upto 12 m

A person can see clearly only upto 3m. What will be power of his spectacles lens, so that he can see clearly upto 12 m

Physics-General

parallel

The least distance of distinct vision for young adult with normal vision is about

The least distance of distinct vision for young adult with normal vision is about

Physics-General

A concave lens has a focal length of 20 cm. The power of lens will be

A concave lens has a focal length of 20 cm. The power of lens will be

Physics-General

The principle axis is also called ……………..of the lens.

The principle axis is also called ……………..of the lens.

Physics-General

parallel

A convex lens is also called a

A convex lens is also called a

Physics-General

An object 4 cm full is placed on the principle axis of a concave mirror of focal length 20 cm at a distance of 30 cm from it. The size of the image is

An object 4 cm full is placed on the principle axis of a concave mirror of focal length 20 cm at a distance of 30 cm from it. The size of the image is

Physics-General

The focal length of a convex mirror is 15 cm The radius of curvature of mirror is

The focal length of a convex mirror is 15 cm The radius of curvature of mirror is

Physics-General

parallel

In case of virtual and erect image, the magnification of mirror is

In case of virtual and erect image, the magnification of mirror is

Physics-General

If a mirror has a focal length of +15 cm, it is a

If a mirror has a focal length of +15 cm, it is a

Physics-General

The magnification of plane mirror is

The magnification of plane mirror is

Physics-General

parallel

A straight wire is carrying an electric current.

A straight wire is carrying an electric current.

Physics-General

The direction of magnetic field at a point due to an infinite long wire carrying current is

The direction of magnetic field at a point due to an infinite long wire carrying current is

Physics-General

a bar of steel is placed in a solenoid, then it changes to ______.

a bar of steel is placed in a solenoid, then it changes to ______.

Physics-General

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.