If origin is shifted to the point (h,k) the new coordinate of (x,y) will be (x+h,y+k)

True

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False

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Solution

The correct option is B
False

The x coordinate of P is the distance we have to move along x direction to reach point P with sign. Similarly Y co-ordinate.

When the new origin become (h,k) we have to move only x-h along x-axis and y-k a long y axis. So, the new coordinates will be (x-h, y-k)

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Similar questions

If origin is shifted to the point (h,k) the new coordinate of (x,y) will be (x+h,y+k)

In the new coordinate system origin is shifted to (h,k) and the axes are rotated through angle of $90^{\circ}$ in the anti-clockwise direction. The new co-ordinates of (x,y) is obtained by the following method.

1) (x + iy) becomes (x + iy) $e^{\frac{- i π}{2}}$

Let it be (x+iy) or (x,y)

2)(x,y) becomes (x - h,y - k)

1) (x + iy) becomes (x + iy) $e^{\frac{- i π}{2}}$

Let it be (x+iy) or (x,y)

2)(x,y) becomes (x - h,y - k)

Q. Old co-ordinate =

(z, y) = (b, - 2)

shift of origin =

(h, k) = (- a, p)

New co-ordinat=

(x, y)

Q. Prove that the lines joining the origin to the points of intersection of circle

(x - h)^{2} + (y - k)^{2} = k^{2}

with the line

\frac{x}{h} + \frac{y}{k} = 2

will be perpendicular if (h, k) lies on the circle

x^{2} + y^{2} = r^{2}

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If origin is shifted to the point (h,k) the new coordinate of (x,y) will be (x+h,y+k)

The correct option is B False The x coordinate of P is the distance we have to move along x direction to reach point P with sign. Similarly Y co-ordinate. When the new origin become (h,k) we have to move only x-h along x-axis and y-k a long y axis. So, the new coordinates will be (x-h, y-k)

The correct option is B
False

The x coordinate of P is the distance we have to move along x direction to reach point P with sign. Similarly Y co-ordinate.

When the new origin become (h,k) we have to move only x-h along x-axis and y-k a long y axis. So, the new coordinates will be (x-h, y-k)