A point P(4,3) is reflected on the x-axis Its image Q is reflected on the y-axis to get R and R is again reflected on the x-axis If S is the image of R then the length of the diagonal of rectangle PQRS is

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 10
By Pythagoras theorem
$O P^{2} = 4^{2} + 3^{2}$
or $O P = \sqrt{25} = 5$
$∴ R P = 10$

Suggest Corrections

Similar questions

The image of a point P on reflection in the y axis is Q. The mid point of PQ is invariant on reflection in the x axis. Locate the origin.

Q. A ray of light emerging from the point source placed at

P (1, 2)

is reflected at a point

Q

on the

y-axis

and then passes through the point

(6, 9)

. Then

P and Q have co-ordinates (0, 5) and (-2, 4).

(a) P is invariant when reflected in an axis. Name the axis.

(b) Find the image of Q on reflection in the axis found in (a)

(d) Write the co-ordinates of the image of Q, obtained by reflection it in the origin followed by reflection in x-axis.

(i) Plot the points A (3, 5) and B (-2, -4). Use 1 cm = 1 unit on both the axes.

(ii) A' is the image of A when reflected in the x-axis. Write down the co-ordinates of A' and plot it on the graph paper.

(iii) B' is the image of B when reflected in the y-axis, followed by reflection in the origin. Write down the co-ordinates of B' and plot it on the graph paper.

(iv) Write down the geometrical name of the figure AA'BB'.

(v) Name two invariant points under reflection in the x-axis.

Q. The point

P (3, 6)

is first reflected on the line

y = x

and then the image point Q is again reflected on the line

y = - x

to get the image point

Q^{'}

. Then the circumcentre of the

△ P Q Q^{'}

is:

Join BYJU'S Learning Program

A point P(4,3) is reflected on the x-axis Its image Q is reflected on the y-axis to get R and R is again reflected on the x-axis If S is the image of R then the length of the diagonal of rectangle PQRS is

The correct option is C 10By Pythagoras theoremOP2=42+32or OP=√25=5∴RP=10

The correct option is C 10
By Pythagoras theorem
$O P^{2} = 4^{2} + 3^{2}$
or $O P = \sqrt{25} = 5$
$∴ R P = 10$