TANGENT AND NORMAL, intermediate first year mathematics 1B problems with solutions

Mathematics intermediate first year 1A and 1B solutions for some problems. These solutions are very simple to understand.

 Junior inter 1A : Functions, mathematical induction, functions, addition of vectors, trigonometric ratios upto transformations, trigonometric equations, hyperbolic functions, inverse trigonometric functions and properties of triangles.

Junior inter 1B : Locus, transformation of axes and three dimensional coordinates, straight lines, pair of straight lines, the planes and applications of derivatives.

You can see the solutions for junior inter maths 1B

1. Locus

2. Transformation of axes

3. Straight lines vs

The straight line sa

Straight lines la

4. Pair of straight lines

5. Three dimensional coordinates

6. Direction cosines and direction ratios

7. The plane

8. Limits and continuity

9. Differentiation

10. Errors and approximations

11. Rate measure

12. Mean value theorems

13. Maxima and minima

You can also see the solutions for junior inter maths 1A

1. Functions

2. Mathematical induction

3. Matrices

4. Addition of vectors

5. Product of vectors

6. Trigonometric ratios up to transformations 1

7. Trigonometric ratios up to transformations 2

8. Trigonometric equations

9. Inverse trigonometric functions

10. Hyperbolic functions

11. Properties of triangles

You can see the solutions for text book Maths 1A

Functions

Exercise 1(a)

Exercise 1(b)

Exercise 1(c)

Mathematical Induction

Exercise 2(a)

Matrices

Exercise 3(a)

Exercise 3(b)

Exercise 3(c)

Exercise 3(d)

Exercise 3(e)

Exercise 3(f)

Exercise 3(g)

Exercise 3(h)

Exercise 3(i)

Addition of vectors

Exercise 4(a)

Exercise 4(b)

Product of vectors

Exercise 5(a)

Exercise 5(b)

Exercise 5(c)

Trigonometric Ratios up to Transformations

Exercise 6(a)

Exercise 6(b)

Exercise 6(c)

Exercise 6(d)

Exercise 6(e)

Exercise 6(f)

Trigonometric Equations

Exercise 7(a)

Inverse Trigonometric Equations

Exercise 8(a)

Hyperbolic Functions

Exercise 9(a)

Properties of Triangles

Exercise 10(a)

Exercisr 10(b)

Maths 1B solutions for

Locus

Exercise 1(a)

Transformation of Axes

Exercise 2(a)

The Straight Line

Exercise 3(a)
Exercise 3(b)
Exercise 3(c)
Three Dimensional Coordinates

Exercise 5(a)

Exercise 5(b)

Direction Cosines and Direction Ratios

Exercise 6(a)

Exercise 6(b)

The Plane 

Exercise 7(a)

Limits and Continuity

Exercise 8(a)

Exercise 8(b)

Exercise 8(c)

Exercise 8(d)

Exercise 8(e)

Applications of Derivaties

Exercise 10(a)
M

Calculus, Tangent and Normal Junior Inter Maths

Short answer questions

Problem 11

Inter maths tangent and normal

Long answer questions

Note : Observe the solutions and try them in your own methods.

Maths real numbers solutions class 10

 You can see solutions for Inter Maths IIB

1. Circle

2. System of Circles

3. Parabola

4. Ellipse

5. Hyperbola

6. Integration

7. Definite Integrals

You can also see solutions for Inter Maths IIA

1. Complex numbets

2. De Moivre’s Theorem

3. Quadratic Equations 1

   Quadratic Equations 2

  Quadratic Equations 3

4. Theory of Equations

5. Permutations and Combinations

6. Binomial Theorem

7. Partial Fractions 

8. Measures of Dispersion

9. Probability

10. Random variables and Probability Distribution

For examination purpose you can see

Complex numbers

De Moivre’ s Theorem