You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VI

Mathematics

Formation of an Expression

Find the imag...

Question

Find the image of the point $(- 2, - 7)$ under the transformation
$(x, y) \to (x - 2 y, - 3 x + y) .$

(12, - 1)

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

(- 12, 1)

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

(2, 7)

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

(- 2, 7)

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

Open in App

Solution

The correct option is A $(12, - 1)$
Given transformation is
$(x, y) \to (x - 2 y, - 3 x + y)$
So, the point $(- 2, - 7)$ $\to (- 2 - 2 (- 7), - 3 (- 2) - 7)$
So, the image of the point $(- 2, - 7)$ under the given transformation is $(12, - 1)$

Suggest Corrections

Similar questions

Q. The point

(4, 1)

undergoes the following three transformations succesively.

(i)

Image about the line

y = x

(i i)

Transformation through a distance

2

unit along the positive direction of

x

axis

(i i i)

Rotation through an angle of

\frac{π}{4}

about the origin in the anti-clockwise direction.

The final position of the point is given by the coordinates

Q. Find the image of the point

(2, - 4)

under the transformations

(x, y) \to (x + 3 y, y - x)

(a, b)

, find

b - a ?

Q. The point (4, 1) undergoes the following three transformations successively.
(i) Reflection about the line y = x
(ii) Transformation through a distance 2 unit along the positive direction of x-axis.
(iii) Rotation through an angle of π/4 about the origin in the anti-clockwise direction.
The final position of the point is given by the coordinates

Q. Find the image of the point

(2, - 4)

under the transformations

(x, y)

\to (x + 3 y, y - x)

. Let it be

(a, b)

. Then

b - a

The point (4, 1) undergoes the following transformation successively.
(i) reflection about the line y = x
(ii) translation through a distance 2 units along the positive direction of x - axis
(iii) rotation through an angle $\frac{π}{4}$ about the origin in the anticlockwise direction.
(iv) reflection aout x = 0
The final position of the given point is

Join BYJU'S Learning Program

Find the image of the point (−2,−7) under the transformation(x,y)→(x−2y,−3x+y).

The correct option is A (12,−1)Given transformation is (x,y)→(x−2y,−3x+y)So, the point (−2,−7) →(−2−2(−7),−3(−2)−7)So, the image of the point (−2,−7) under the given transformation is (12,−1)

Find the image of the point $(- 2, - 7)$ under the transformation
$(x, y) \to (x - 2 y, - 3 x + y) .$

The correct option is A $(12, - 1)$
Given transformation is
$(x, y) \to (x - 2 y, - 3 x + y)$
So, the point $(- 2, - 7)$ $\to (- 2 - 2 (- 7), - 3 (- 2) - 7)$
So, the image of the point $(- 2, - 7)$ under the given transformation is $(12, - 1)$