The coordinates of the point $(4, 5)$ in the new system, when its origin is shifted to $(3, 7)$ are

(1, 2)

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

(- 1, 2)

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

(- 1, - 2)

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

(1, - 2)

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

Open in App

Solution

The correct option is C $(1, - 2)$
$X = x - 3$ and $Y = y - 7$
$\Rightarrow X = 4 - 3 = 1$ and $Y = 5 - 7 = - 2$
$\Rightarrow (X, Y) = (1, - 2)$

Suggest Corrections

Similar questions

Q. The new coordinates of a point

(4, 5),

when the origin is shifted to the point

(1, - 2)

are

New coordinates of the point (7,-1) would be, if the origin is shifted to the point (1,2) by translation of the axis.

If origin is shifted to the point $(2, 3)$ without rotation of axes then the coordinates of the point $P$ which divides the join of $A (4, 8)$ and $B (7, 14)$ in the ratio $1 : 2$ or $2 : 1$ with respect to the new system of coordinates can be

Q. If the origin is shifted to

(1, 2, - 3)

without changing the direction of the axes, then find the new coordinates of the point

(0, 4, 5)

with respect to new frame.

Join BYJU'S Learning Program

The coordinates of the point (4,5) in the new system, when its origin is shifted to (3,7) are

The correct option is C (1,−2)X=x−3 and Y=y−7⇒X=4−3=1 and Y=5−7=−2⇒(X,Y)=(1,−2)

The coordinates of the point $(4, 5)$ in the new system, when its origin is shifted to $(3, 7)$ are

The correct option is C $(1, - 2)$
$X = x - 3$ and $Y = y - 7$
$\Rightarrow X = 4 - 3 = 1$ and $Y = 5 - 7 = - 2$
$\Rightarrow (X, Y) = (1, - 2)$