Go to main content

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
  5. Quadratic Equations and Graph
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

If sinA/3 = 1/2(a + 1/a), prove that: sinA = -1/2(a^3 + 1/a^3)

please help

Prove (1+cosθ+sinθ)/(1-cosθ+sinθ) = cotθ/2

please help me how to solve it. this is fustrating :(

If sin(A/3) = 1/2(a+1/a), prove that: sinA = -1/2(a^3 + 1/a^3)

please help me w/ this

If costheta = 3/4, find the value of sin2theta

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 :(