Jump to

- Rational and Irrational Numbers
- Compound Interest
- Expansions
- Factorization
- Simultaneous Linear Equations
- Problems on Simultaneous Linear Equations
- Quadratic Equations
- Indices
- Logarithms
- Triangles
- Mid Point Theorem
- Pythagoras Theorem
- Rectilinear Figures
- Theorems on Area
- Circle
- Mensuration
- Trigonometric Ratios
- Trigonometric Ratios and Standard Angles
- Coordinate Geometry
- Statistics

Question 1 Coordinate Geometry Exercise 19.4

A is a point on y-axis whose ordinate is 4 and B is a point on x-axis whose abscissa is -3. Find the length

of the line segment AB.

Answer:

Given A is a point on Y-axis and ordinate is 4.

So the x-coordinate is 0.

coordinates of A are (0,4)

Given B is a point on X-axis and abscissa is -3.

So the y-coordinate is 0.

coordinates of B are (-3,0)

By distance formula, Length of AB, d(AB) = \sqrt{\left[\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}\right]}

\begin{aligned} &\left.=\sqrt{(}-3^{2}+-4^{2}\right)\\ &=\sqrt{(9+16)}\\ &=\sqrt{25}\\ &=5\\ &\text { Hence the length of line segment AB is 5 units } \end{aligned}

Related Questions

Was This helpful?

Exercises

Chapters

Lido

Courses

Quick Links

Terms & Policies

Terms & Policies

2022 © Quality Tutorials Pvt Ltd All rights reserved