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Special Case When X = a = 0

When ABCD i...

Question

When $A B C D$ is reflected over the $y$ -axis to $A^{'} B^{'} C^{'} D^{'}$ , what can be the coordinates of $D^{'}$ given that D lies in the $1^{s t}$ quadrant?

A

(- 12, 1)

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B

(- 12, - 1)

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C

(12, - 1)

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D

(1, 12)

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E

(1, - 12)

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Solution

The correct option is A $(- 12, 1)$

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Similar questions

A B C D

be a square in which

A

lies on the positive y-axis and

B

lies on the positive x-axis. If

D

(12, 17)

the coordinates of

C

ABCD is a parallelogram where A (3, –3); B (5, 8); C (4, 7) & D(, y).

Find the coordinates of D & equation of diagonal BD.

Q. Fill in the blanks using correct alternatives.
(1) Seg AB is parallel to Y-axis and coordinates of point A are (1,3) then co–ordinates of point B can be ........ .
(A) (3,1)
(B) (5,3)
(C) (3,0)
(D) (1,–3)

(2) Out of the following, point ........ lies to the right of the origin on X– axis.
(A) (–2,0)
(B) (0,2)
(C) (2,3)
(D) (2,0)

(3) Distance of point (–3,4) from the origin is ...... .
(A) 7
(B) 1
(C) 5
(D) –5

(4) A line makes an angle of 30° with the positive direction of X– axis. So the slope of the line is .......... .

(A)

\frac{1}{2}

\frac{\sqrt{3}}{2}

\frac{1}{\sqrt{3}}

\sqrt{3}

Q. Match the following columns:

Column I	Column II
(a) The point A(−3, 0) lies on	(p) y-axis
(b) The point B(−5, −1) lies in quadrant	(q) IV
(c) The point C(2, −3) lies in quadrant	(r) III
(d) The point D(0, −6) lies on	(s) x-axis

(a) ......,
(b) ......,
(c) ......,
(d) ......,

Q. If the y-coordinate of a point is zero then this point always lies
(a) on the y-axis
(b) on the x-axis
(c) in the I quadrant
(d) in the IV quadrant

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