# Solutions of Class 10 Optional Math

It includes solutions to all chapters of optional math subjects for class ten, along with a video explanation and tips and tricks. In addition, we have also added quizzes to each chapter.

Lesson
1

### Algebra

1. Function
2. Polynomials
3. Sequence and Series
4. Linear Programming
Lesson
2

### Limit and Continuity

1. Limit and Continuity
Lesson
3

### Matrix

1. Determinant, Inverse, and Solving Equations by Matrix Method
2. Cramer's Rule
Lesson
4

### Coordinate Geometry

1. Angle between two lines
2. Pair of Straight Lines
3. Conic Section
4. Circle
Lesson
5

### Trigonometry

1. Multiple Angles
2. Sub-multiple Angles
3. Transformation of Trigonometric Formula
4. Multiple, Sub-multiple Angles, and Transformation of Trigonometric Formula
5. Conditional Identities
6. Trigonometric Equations
7. Height and Distance
Lesson
6

### Vector

1. Scalar Product
2. Vector Geometry
Lesson
7

### Transformation

1. Combined Transformation
2. Inversion Transformation and Inversion Circle
3. Matrix Transformation
Lesson
8

### Statistics

1. Quartile Deviation
2. Mean Deviation
3. Standard Deviation and Coefficient of Variation

## Questions

pls help me

### Find the HCF from a^3 - a^2 + a - 1 and 2a^3 - a^2 + a - 2

Hello my friend! How can i solve this? 1st expression:
= a3 - a2 + a - 1
= ...? Pls help. Thank u. Nice day!

### Find HCF from m^3 - 8n^3, 2m^2 - 5mn + 2n^2, and 2m^2 - 8n^2

Hello friend, I’ve done few steps for 1st expression, but I can’t solve any further. Can u pls help? 1st expression:
= m3 - 8n3
= m3 - (2n)3
= (m - 2n)(m2 + 2mn + 4n2)
= (m - 2n)... ??

### Find HCF of 8x^3 + 4x^2 + 2x, 16x^4 + 4x^2 + 1 and 8x^3 - 1

I am stuck in first expression. I'm not sure how to solve further. Pls help 1st expression = 8x3 + 4x2 + 2x
= 2x(4x2 + 2x + 1)

### Prove: 2sin^2(45 - A) = 1 - 2sinA

How can I solve this? The 45-A is making me so confused. Plz help

### If sinA = 1/2, find the value of sin3A

Can someone pls help me to solve this? I just know that sin2A = 2sinA.cosA, but it doesn't seem like that formula is helpful in this question. I have no idea about what to do for sin3A.

### Prove cos⁴A + sin⁴A = 1 - 1/2(sin²2A)

Can someone please help me to solve this question? I can't go beyond this: = cos⁴A + sin⁴A
= (cos2A)2 + (sin2A)2
I can't solve it after this :(