Find the equation of the right bisector of the line segment joini… - Vidyadip

Question

Find the equation of the right bisector of the line segment joining the points (3, 4) and (-1, 2).

✓

Answer

The slope of line joining (3, 4) and (-1, 2) is $\frac{2-4}{-1-3}=\frac{-2}{-4}=\frac{1}{2}$ The required line is $\perp$ to the given line $\therefore$ (Slope of required line) $\times\frac{1}{2}=-1 \big[\because\text{m}_1\times\text{m}_2$ for perpendicular lines$\big]$ $\text{m}_1=-2$ And the line passes through the mid point of line joining (3, 4) and (1, 2) i.e; $\Big(\frac{3-1}{2},\frac{4+2}{2}\Big)$ or $(1,3)$ $\therefore$ equation of the required line is y - 3 = (-2)(x - 1) or y - 3 = -2x + 2 or 2x + y - 5 = 0

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "(Each question 4 marks)" from The Straight Lines→The Straight Lines — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Prove the following identities $:\frac{(1+\cot\text{x}+\tan\text{x})(\sin\text{x}+\cos\text{x})}{\sec^3\text{x}-\text{cosec}^3\text{ x}}=\sin^2\text{x}\cos^2\text{x}$

A natural number is chosen at random from amongst first 500. What is the probability that the number so chosen is divisible by 3 or 5?

Find the equation for the ellipse that satisfies the given conditions: Vertices $(0,\pm13),$ foci $(0,\pm5).$

Find the multiplicative inverse of the following complex numbers: $(1-\text{i}\sqrt{3})^2$

Evaluate the following limit: $\lim\limits_{\text{x}\rightarrow{\text{a}}}\frac{\sin\sqrt{\text{x}}-\sin\sqrt{\text{a}}}{\text{x}-\text{a}}$

Find $\lim\limits_{\text{x}\rightarrow-\frac{5}{2}}{[\text{x}]}.$

Find the coording of the centre of the circle inscribed in a triangle whose vertics are (-36, 7), (20, 7) and (0, -8).

Find the equation of the hyperbola whose Focus is at $(4, 2)$ centre at $(6, 2)$ and $e = 2$.

Evaluate the following limit: $\lim\limits_{\text{x}\rightarrow{{\pi}}}\frac{1+\cos\text{x}}{\tan^2\text{ x}}$

For any two sets A and B, prove that
$(\text{A}\cap\text{B})-\text{B = A}- \text{B}$