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Q.

Let $A = (- 4, 0) B = (- 1, 4)$ C and D are the points which are symmetric to point A and B respectively with respect to y axis then

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a

Co-ordinates of $C (4, 0)$

b

Co-ordinates of $D (1, 4)$

c

Area of quadrilateral ABCD is 20 sq units

d

Perimeter of quadrilateral is 40 units.

answer is A, B, C.

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Detailed Solution

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Symmetric points with respect to y- axis $C = (4, 0), D = (1, 4)$

$A r e a = \frac{1}{2} |\begin{matrix} x_{1} - x_{3} & y_{1} - y_{3} \\ x_{2} - x_{4} & y_{2} - y_{4} \end{matrix}|$

$= \frac{1}{2} |\begin{matrix} - 5 & - 4 \\ 5 & - 4 \end{matrix}| = 20$

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Let A =−4, 0 B =−1, 4 C and D are the points which are symmetric to point A and B respectively with respect to y axis then