College Math

x 1 , y 1 and m are given by 3, 2 and -3, respectively, (y – 2) = -3(x – 3) y – 2 = -3x + 9 3x + y = 11 is the desired equation In case, we need to find the line with same intercepts (3, 2) perpendicular to the given line 3x + y = - 3, we find the slope of the given line, translate the slope for perpendicular line and then substitute the values in the line form equation as done above. The slope of the given line is -3. Hence, the slope for the desired perpendicular line would be 1/3. Substituting the values, we get: (y – 2) = 1/3*(x - 3) 3y – 6 = x – 3 x – 3y = -3 is the desired equation. 3.4 Circles A circle can be defined as a circular enclosed figure which has no edge or vertex. Circle can also be defined as the combination of all those points in a plane area which are positioned at a fixed distance from a fixed central point. This fixed distance is known as the radii while the fixed point is known as the center of the circle . Hence, any line joining the center of the circle with any point on the circle is known as radius . Any line joining any two points on the circle is called a chord . It should be noted that a chord may or may not pass through the center of the circle. The chord that passes from the center is the largest line and is termed as the diameter of the circle. Diameter is twice the radius. All these lines in the circle are shown here: Congruent circles: Two circles are said to be congruent if they have same radius. That is, if we move one of the circles over the other, then they both with coincide.

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