Line Point Distance Quiz Online Practice Test

1. At what angle is the shortest distance between a point and a line achieved?

2. How do you calculate the shortest distance between the line ax + by + c = 0 and the point (x₁, y₁)?

3. What is the minimum distance from the point (5, 6) to the line defined by the equation -2x + 3y + 4 = 0?

4. What is the formula to determine the shortest distance between two parallel lines defined by ax + by + c₁ = 0 and ax + by + c₂ = 0?

5. How far apart are the lines 3x - 4y + 7 = 0 and 3x - 4y + 5 = 0?

6. What is the slope of the line represented by the equation ax + by + c = 0?

7. What is the slope of the line described by the equation 10x + 5y + 8 = 0?

8. What are the coordinates of the foot of the perpendicular dropped from the point (-1, 3) to the line 3x - 4y - 16 = 0?

9. In C++, which function is used to compute the absolute value of a number?

10. What is the slope of a line that is perpendicular to the line given by 6x - 3y - 16 = 0?

11. What will be the output of the following C++ code?

#include <math.h>
#include <iostream>
using namespace std;
void distance(float x, float y, float a, float b, float c) {
float d = fabs((a * x + b * y + c)) / sqrt(a * a + b * b);
cout << d;
return;
}
int main() {
float x = -2;
float y = -3;
float a = 5;
float b = -2;
float c = -4;
distance(x, y, a, b, c);
return 0;
}