The shortest distance between two intersecting lines is always equal to _________.
Answer
683.4k+ views
Hint: The shortest distance between two lines is equal to determining how far apart lines are. This can be done by measuring the length of a line that is perpendicular to both of them. and in this case, we have two intersecting lines.
Complete step-by-step answer:
In this figure, we have two straight lines A and B. which intersect each other at point x as shown in figure. (Intersecting lines are the ones which intersect each other at one point.)
Now, as we know we need to calculate the shortest distance between two intersecting lines. And in this we say line A and B.
Since the lines are bound to intersect at one point,
The shortest distance between them would always be equal to 0.
Therefore, The shortest distance between two intersecting lines is always equal to 0.
Note- We may use formulas directly to find the shortest distance between two parallel lines. For two non-intersecting lines lying in the same plane, the shortest distance is the distance that is shortest of all the distances between two points lying on both lines.
If the equations of two parallel lines are expressed in the following way:
ax + by + ${{\text{d}}_{\text{1}}}$ = 0 and ax + by + ${{\text{d}}_{\text{2}}}$ = 0
Then, the formula for shortest distance can be written as under:
${\text{d = }}\dfrac{{|{d_2} - {d_1}|}}{{\sqrt {{a^2} + {b^2}} }}$ .
Complete step-by-step answer:
In this figure, we have two straight lines A and B. which intersect each other at point x as shown in figure. (Intersecting lines are the ones which intersect each other at one point.)
Now, as we know we need to calculate the shortest distance between two intersecting lines. And in this we say line A and B.
Since the lines are bound to intersect at one point,
The shortest distance between them would always be equal to 0.
Therefore, The shortest distance between two intersecting lines is always equal to 0.
Note- We may use formulas directly to find the shortest distance between two parallel lines. For two non-intersecting lines lying in the same plane, the shortest distance is the distance that is shortest of all the distances between two points lying on both lines.
If the equations of two parallel lines are expressed in the following way:
ax + by + ${{\text{d}}_{\text{1}}}$ = 0 and ax + by + ${{\text{d}}_{\text{2}}}$ = 0
Then, the formula for shortest distance can be written as under:
${\text{d = }}\dfrac{{|{d_2} - {d_1}|}}{{\sqrt {{a^2} + {b^2}} }}$ .
Recently Updated Pages
Write any three differences between metals and nonmetals class 10 social science CBSE

Amit standing on a horizontal plane finds a bird flying class 10 maths CBSE

Two circles of radii 5 cm and 3 cm intersect at two class 10 maths CBSE

Solve the following i John and Jivanti together have class 10 maths CBSE

What is the relation between orthocenter circumcentre class 10 maths CBSE

Two plane mirrors are inclined at 70circ A ray incident class 10 physics CBSE

Trending doubts
Explain the Treaty of Vienna of 1815 class 10 social science CBSE

Which country is known as "The land of Fire and Ice"?

1 GB equals how many MB?

10 examples of evaporation in daily life with explanations

What is the full form of POSCO class 10 social science CBSE

Make a sketch of the human nerve cell What function class 10 biology CBSE

