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Area of a Quadrilateral

If a,0 and ...

Question

If $(a, 0)$ and $(0, b)$ are two opposite vertices of a diagonal of a square, then one of the remaining two vertices is :

(0, 0)

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(a, b)

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(\frac{a}{2}, \frac{b}{2})

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(\frac{a + b}{2}, \frac{a + b}{2})

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Solution

The correct option is A $(0, 0)$
square has all sides equal if
then $a = b$

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Similar questions

The are of $△ A B C$ with vertices A(a, 0), O(0, 0) and B(0, b) in square units is

(a) ab (b) $\frac{1}{2} a b$ (c) $\frac{1}{2} a^{2} b^{2}$ (d) $\frac{1}{2} b^{2}$

∆ A B O

\frac{1}{2} a b

\frac{1}{2} a^{2} b^{2}

\frac{1}{2} b^{2}

A (a, 0, 0)

B (0, b, 0)

y^{2} = 2 x - 3 z

A \equiv (1, 0)

B \equiv (0, 3)

C \equiv (- 2, 0)

D \equiv (0, 2)

A B C D

The points B (1, 3) and D (6, 8) are two opposite vertices of a square ABCD. Find the equation of the diagonal AC.

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