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# RD Sharma Class 11 Solutions Chapter 23 - The Straight Lines (Ex 23.5) Exercise 23.5

Last updated date: 14th Aug 2024
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## RD Sharma Class 11 Solutions Chapter 23 - The Straight Lines (Ex 23.5) Exercise 23.5 - Free PDF

Free PDF download of RD Sharma Class 11 Solutions Chapter 23 - The Straight Lines Exercise 23.5 solved by Expert Mathematics Teachers on Vedantu. All Chapter 23 - beThe Straight Lines Ex 23.5 Questions with Solutions for RD Sharma Class 11 Math to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

RD Sharma Class 11 Solutions Chapter 23 - The Straight Lines (Ex 23.5) is a very helpful resource for students appearing for their Class 11 math exam. It not only prepares the students for the type of questions that might come in the exam but also aids them in assessing their level of preparation. It’s something that every student should refer to if they are aiming to score high in their exams. Such resources help the pupil to evaluate the problems better and come up with solutions that are to the point.

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## RD Sharma Class 11 Solutions Chapter 23 - The Straight Lines Exercise 23.5

### Topics Covered in Chapter 23 - The Straight Lines

• A straight line has not been curved or bent in any way. All of the fundamental and advanced ideas connected to straight lines are addressed in this session. This lesson is also available in PDF format, which allows students to refer to the principles while offline.

• A line is a simple geometric object that is defined as a zero-width object that extends on both sides. A straight line has no bends. A straight line is a line that stretches to infinity on both sides and has no bends.

### Straight Line Equation

All points on the curve are satisfied by the relationship between variables x and y. The equation of a straight line is axe + by + c = 0. The variables x and y are variables, and the constants a,b, and c are constants.

### Origins Shifting

Let's say the origin is moved to point O' (h, k). If P(x, y) are the coordinates of a point on old axes, and P'(X, Y) are the coordinates of the same points on new axes, x = X + h, and y = Y + k.

### Straight Line

If two locations on a curve are chosen such that every point on the line segment connecting any two points on the curve lies on the curve, it is said to be a straight line. A line's general equation is axe + by + c = 0.

The slope or gradient of a line is defined as the inclination of an angle to a line with a positive X-axis in the anti-clockwise direction, denoted by m.

### The Equation of a Line in Various Forms

The equation of a line is y = k if it is at a distance of k and parallel to the X-axis.

The equation for a line parallel to the Y-axis at a distance of c from the Y-axis is x = c.

Slope-intercept form: y = mx + c is the equation of a line with slope m and an intercept c on the y-axis.

One point-slope form: y – y1 = m (x – x1) is the equation of a line that passes through the point (x1, y1) and has a slope of m.

## FAQs on RD Sharma Class 11 Solutions Chapter 23 - The Straight Lines (Ex 23.5) Exercise 23.5

1. How is the position of points relative to a given line according to RD Sharma Class 11 Solutions Chapter 23 - The Straight Lines (Ex 23?

We’ll assume and let the equation of the given line be ax + by + c = 0 and further, let the coordinates of the two given points be P(x1, y1) and Q(x2, y2). To understand further, we’ll let the two points be on the same side of the straight line ax + by + c = 0, If ax1 + by1 + c and ax2 + by2 + c have the same sign. Now, the two points are on the opposite sides of the straight line ax + by + c = 0, If ax1 + by1 + c and ax2 + by2 + c have opposite signs.

2. What are the various forms of the equation of a line according to RD Sharma Class 11 Solutions Chapter 23 - The Straight Lines (Ex 23)?

The equation of a line is y = k if it is at a distance of k and parallel to the X-axis. The equation for a line parallel to the Y-axis at a distance of c from the Y-axis is x = c. Form of the slope-intercept: y = mx + c is the equation for a line with slope m and an intercept c on the y-axis. One point-slope shape is as follows: y – y1 = m (x – x1) is the equation of a line that passes through the point (x1, y1) and has a slope of m.

3. What are some other resources that I can refer to while preparing for Chapter 23 - The Straight Lines?

Some other resources you can refer to while preparing for your math exam are notes, previous years’ question papers, practice sheets RD Sharma Solutions. These solutions are a student’s best friend as they aid them in scoring better. Refer to these resources from vedantu.com for no fee at all. These are available free of cost. Our website has a very user-friendly interface which makes it easier for the visitors to scroll through and find what they need.

4. Is RD Sharma Class 11 Solutions Chapter 23 - The Straight Lines (Ex 23) helpful for me?

Students are likely to be worried during exam preparation. Youngsters must select the appropriate preparation source to pass with flying colors. With so many different resources for the exam, students frequently waste time trying to figure out which one is best, and as a result, they make mistakes. Students should consult RD Sharma texts to prevent becoming anxious as it truly is a reliable source.

5. Is Chapter 23- The straight Lines easy?

Yes, all the geometry-based chapters in Class 11 Math are comparatively easy. All you need to do is practice your concepts now and then. Solve more and more practice sheets based on the CBSE curriculum. Solve previous years’ question papers to get a hang of the pattern of the paper. Make your notes to streamline what’s important in brief.