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Explanation: From Geometry, we know that the **perpendicular** **bisector** (p. Web. e. Grab your compass.

Find **the equation of perpendicular bisector of the line** **segment** **joining** the points A(**2**,**3**) and B(6,−5).

Step **4**: Substitute the value in the general expression **of the perpendicular** **bisector**. Step **4**: Substitute the value in the general expression **of the perpendicular** **bisector**. Then y = **1**/**2***x + 8, so m + b = **1**/**2** + 8 = 17/**2**. What is **perpendicular**?.

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In this guide, the slope would be m in slope-intercept form (y=mx+b). Step **3**: Now take the negative reciprocal of the slope to get the slope **of the perpendicular** **line**. **The equation of the perpendicular bisector of the line** **segment** **joining** A ( **2**, **3**) and B ( 6, - 5) is A x – y = – **1** B x – **2** y = **3** C x + y = **3** D x - **2** y = 6 Solution The correct option is D x - **2** y = 6 Explanation for the correct option: Step **1**: Find the slope **of the line** A B Let A = **2**, **3** = ( x **1**, y **1**) B = ( 6, - 5) = ( x **2**, y **2**). . m2 = -**1** m2 = 14/5 Now **equation** **of** **perpendicular** **bisector** using two point form, 10y - 65 = 28x - 84 28x - 10y - 84 + 65 = 0 28x - 10y - 19 = 0.

Web. . Medium Solution Verified by Toppr Since, the slope of the **line** AB = x 2−x 1y 2−y **1** = 6−2−5−3 = 4−8=−2 But slope of **perpendicular** **bisector** will be =− m1 = 21 Therefore, the **equation** **of** **the** **line** y+1= 21(x−4) 2y+2=x−4 x−2y=6. Web. Since the product of slopes of two **perpendicular** lines is -**1**, we have:.

Let us denote, by bar(AB), the **line** sgmt. of p. . ∴ ( x - **4**) **2** + ( y - 5) **2** = ( x + **2**) **2** + ( y - **3**) **2** Solving we get -12x - 4y + 28 = 0 or 3x + y - 7 = 0 Concept: Distance Formula Report Error. Step-by-step solution Step **1** of **3** Let us consider the points We know that the **perpendicular** **bisector** is **perpendicular** to the **line** and **joining** the midpoint of that **line** **segment** Take is the midpoint of Now the coordinates of are.

Web. Web. Since the product of slopes of two **perpendicular** lines is -**1**, we have:.

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" **1** See answer Advertisement. Web. Enjoys Sanskrit Author has 3K answers and 986K answer views **2** y.

## tp

The given condition is, Find **the equation** of. ∴ ( x - **4**) **2** + ( y - 5) **2** = ( x + **2**) **2** + ( y - **3**) **2** Solving we get -12x - 4y + 28 = 0 or 3x + y - 7 = 0 Concept: Distance Formula Report Error. To find the **perpendicular** **bisector** of a triangle with the given sides, follow the steps given below.