Question

On shifting the origin to (h , k) , axes remaining parallel , the co-ordinates of (5,4) become (-3,-1) Then h and k are_____ *

A) h=5 , k= 4

B) h=3 , k= 2

C) h=8 , k= 3

D) h=8 , k= 5​

Answer 1

Answer:

(a) as it is parallel

hope this helps dear...

Answer 2

On shifting the origin to (h, k), axes remaining parallel, the coordinates of (5,4) become (-3,-1) Then h and k are D) h=8, k= 5​.

It is given that the coordinates of the given point are 5, 4  when the origin is taken at 0,0.

Therefore the given point is 5 units in the positive direction of the x-axis and 4 units in the positive direction of the y-axis.

Now the new coordinates after shifting the origin are -3,-1

We can see that the new coordinates are in the negative direction therefore the origin must have shifted towards the positive side and passed the original point.

Now the x coordinate after shifting of origin is -3 therefore the value of h will be 8 as 5 is 3 units in the negative direction of 8.

Similarly, the y coordinate after shifting of the origin is -1 therefore the value of k will be 5 as 4 is 1 unit in the negative direction of 5.

Therefore the values of h and k will be 8 and 5 respectively.