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Special Case When X = a = 0

If points Q a...

Question

If points Q and reflections of point P (−3, 4) in X and Y axes respectively, what is QR?

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Solution

We have to find the reflection of (−3, 4) along x-axis and y-axis.

Reflection of any pointalong x-axis is

So reflection of (−3, 4) along x-axis is

Similarly, reflection of any pointalong y-axis is

So, reflection of (−3, 4) along y-axis is

Therefore,

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Similar questions

Q. The reflection of a point P(-3,4) on the y-axis is Q and the reflection of Q on the x-axis is R Then PR=

L_{1}

x

y

P

Q

respectively. Another line

L_{2},

perpendicular to

L_{1}

x

y

R

S

respectively. The locus of the point of intersection of the lines

P S

Q R

is a circle passing through the

Q. In ∆PQR seg PM is a median. Angle bisectors of ∠PMQ and ∠PMR intersect side PQ and side PR in points X and Y respectively. Prove that XY || QR.

Q. Write the coordinates the reflections of points (3, 5) in X and Y -axes.

P (x, y, z)

is a point on the line segment joining

Q (2, 2, 4)

R (3, 5, 6)

such that the projection of

- - \to O P

on the axes are

\frac{13}{5}, \frac{19}{5}, \frac{26}{5}

respectively, then

P

Q R

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