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Standard XII

Mathematics

Distance of a Point from Coordinate Axes

Find the dist...

Question

Find the distance between and when: (i) PQ is parallel to the y-axis, (ii) PQ is parallel to the x-axis.

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Solution

The given points are and.

(i) When PQ is parallel to the y-axis, x₁ = x₂.

In this case, distance between P and Q

(ii) When PQ is parallel to the x-axis, y₁ = y₂.

In this case, distance between P and Q

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Similar questions

Q. Find the distance between P (x₁, y₁) and Q (x₂, y₂) when (i) PQ is parallel to the y-axis (ii) PQ is parallel to the x-axis.

$Find the distance between P (x_{1}, y_{1}) a n d Q (x_{2}, y_{2}) w h e n (i) P Q i s p a r a l l e l t o t h e y - a x i x . (i i) P Q i s p a r a l l e l t o t h e x - a x i s .$

Q. Find the distance between

P (x_{1}, y_{1})

and

Q (x_{2}, y_{2})

when :

(i) P Q

is parallel to the

y -

axis.

(i i) P Q

is parallel to the

x -

axis.

Q. Find the distance between

P (x_{1}, y_{1})

and

Q (x_{y} y_{2})

when: (i) PQ is parallel to the

y

-axis, (ii) PQ is parallel to the

x

-axis.

Q. Find the distance between

P

(x_{1}, y_{1})

and

Q

(x_{2}, y_{2})

when

P Q

is parallel to the

y

-axis,

ii)

P Q

is parallel to the

x

-axis.

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Find the distance between and when: (i) PQ is parallel to the y-axis, (ii) PQ is parallel to the x-axis.

The given points are and. (i) When PQ is parallel to the y-axis, x1 = x2. In this case, distance between P and Q (ii) When PQ is parallel to the x-axis, y1 = y2. In this case, distance between P and Q

The given points are and.

(i) When PQ is parallel to the y-axis, x₁ = x₂.

In this case, distance between P and Q

(ii) When PQ is parallel to the x-axis, y₁ = y₂.

In this case, distance between P and Q