## DISTANCE FROM A POINT TO THE GIVEN LINE

Consider a point P(x1, y1) and a line in the line co – ordinate axes. The coordinates of points A and B are and . Area of Example: Find the distance from the...

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Consider a point P(x1, y1) and a line in the line co – ordinate axes. The coordinates of points A and B are and . Area of Example: Find the distance from the...

Consider a line AB makes an angle with the positive direction of x – axis and a point on the line is . Let a general point P on the line AB and the...

Definition A normal to a line is a line segment drawn from a point perpendicular to the given line. Let p be the length of perpendicular form from the origin to a line, which...

1. Slope-intercept form Consider AB a straight line making an anglewith x-axis and cutting off an intercept OD = c from OY. As the line makes intercept OD = c on the y-axis, it...

The equation of a line which cuts off the given intercept on both the coordinate axes is determined as follows: Let PQ be a line meeting x-axis in A and y-axis in B. Consider...

Consider two lines: and , where , Angle between both lines are . Taking tan both sides, Example Find the angle between the lines. Solution The equation is written as follows: The...

1. The equation of line parallel to the x-axis Consider the figure as shown below The equation of a line parallel to x – axis is y = y – intercept. For example a...

Consider a triangle as shown below: The most common formula to find the area of the triangle is. In any triangle, the area of the triangle is given by Where, b is the length...

1. Internal division Consider a point P(x, y) divides the line segment joining A(x1, y1) and B(x2, y2) in the ratio m : n. Draw The coordinates of point P are Example:...

The perpendicular distance of a point from the y-axis is called x-coordinate and the perpendicular distance of a point from the x-axis is called y-coordinate. The coordinates of a point on the x-axis is...

Let E1, E2, E3, …………. En mutually exclusive and exhaustive events and A is dependent event occurs after E1, E2, E3, …………. En. Probability of event A By multiplication theorem . Where stands for...

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