A straight line passes through the points (5, 0) and (0, 3). The length of perpendicular from the point (4, 4) on the line is

Question

Smart Achievers · Accepted Answer

(4)

$Equation of line passing through (5, 0) and (0, 3) is,$

$y - 3 = - \frac{3}{5} (x - 0)$

$\Rightarrow$ $5 y - 15 = - 3 x \Rightarrow 3 x + 5 y - 15 = 0$ ...(i)

$Now, perpendicular distance$

$=$ $| \frac{4 \times 3 + 4 \times 5 - 15}{\sqrt{9 + 25}} |$ $=$ $| \frac{12 + 20 - 15}{\sqrt{34}} |$ $=$ $| \frac{17}{\sqrt{34}} |$ $= \sqrt{\frac{17}{2}}$

Solution

Q.
A straight line passes through the points (5, 0) and (0, 3). The length of perpendicular from the point (4, 4) on the line is

1 $\frac{15}{\sqrt{34}}$

2 $\frac{\sqrt{17}}{2}$

3 $\frac{17}{2}$

4 $\sqrt{\frac{17}{2}}$

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Solution

Q. A straight line passes through the points (5, 0) and (0, 3). The length of perpendicular from the point (4, 4) on the line is

1 1534

2 172

3 172

4 172