.om-header-card {
background: linear-gradient(135deg, #008e70 0%, #006a54 100%);
color: white;
padding: 25px;
border-radius: 12px;
margin-bottom: 25px;
box-shadow: 0 4px 12px rgba(0, 0, 0, 0.1);
}
.om-header-card h1 {
margin: 0;
font-size: 24px;
font-weight: 700;
text-transform: uppercase;
letter-spacing: 0.5px;
}
.om-header-card p {
margin: 10px 0 0 0;
opacity: 0.9;
font-size: 16px;
}
.om-section {
background: white;
padding: 25px;
border-radius: 10px;
margin-bottom: 20px;
box-shadow: 0 2px 8px rgba(0, 0, 0, 0.05);
border-left: 5px solid #008e70;
}
.om-section h2 {
color: #008e70;
margin-top: 0;
font-size: 20px;
border-bottom: 1px solid #eee;
padding-bottom: 10px;
}
.om-image-container {
text-align: center;
margin: 20px 0;
overflow: hidden;
}
.om-image-container img {
max-width: 100%;
height: auto;
border-radius: 8px;
transition: transform 0.3s ease;
}
.om-image-container img:hover {
transform: scale(1.02);
}
.om-alert {
background-color: #e8f4fd;
border-left: 5px solid #2196f3;
padding: 15px;
margin: 20px 0;
border-radius: 4px;
}
.om-activity {
background-color: #fff9c4;
border: 2px dashed #fbc02d;
padding: 20px;
margin: 20px 0;
border-radius: 10px;
}
.om-activity h3 {
color: #f57f17;
margin-top: 0;
display: flex;
align-items: center;
}
.om-activity h3::before {
content: '✏️';
margin-right: 10px;
}
.highlight-text {
color: #008e70;
font-weight: bold;
}
.sub-text {
font-size: 0.9em;
vertical-align: sub;
}
@media (max-width: 600px) {
.omtex-content-wrapper {
padding: 10px;
}
.om-header-card {
padding: 15px;
}
.om-header-card h1 {
font-size: 20px;
}
}
Introduction
When we have a line, we can mark a point on the line or not on it.
‘A’ is on ‘\(l_1\)’, ‘B’ is not on ‘\(l_1\)’ or ‘\(l_2\)’. ‘B’ may be closer or far away, but not on the both of the lines ‘\(l_1\)’ and ‘\(l_2\)’. However, when any two points are given, there is exactly ONE line passing through them! Take several pairs of points and verify if this is true.
Collinear Points
What about 3 points and a line? Consider the following lines ‘\(l_1\)’ ‘\(l_2\)’ ‘\(l_3\)’ and ‘\(l_4\)’ and A,B,C be three points.
When all the three points are on a line, they are special; we call such points as collinear points.
Perpendicular Lines
When two lines intersect at right angles (90°), we call them as perpendicular lines. (Refer to 4.31)
Activity
A book is an object where you can see parallel, perpendicular and intersecting lines.
Suggest atleast 2 more examples having parallel, perpendicular and intersecting lines.
Concurrent Lines
Two intersecting lines cut at a point. Will three lines intersect at one point? Fig.4.32 will help you to answer this.
When many lines intersect at a single point, that is again special, we call that point P as a point of concurrency. The lines are called concurrent lines.