Class 11

Rectangular Cartesian Co-ordinates question bank (Maths)

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Q1.

The point of intersection of the diagonals of a square is at the origin,and the coordinate axes are drawn along the diagonals. If the side length of the square is $a$,then which of the following is $NOT$ a vertex of the square?

(A)

$(a\sqrt{2}, 0)$

(B)

$\left(0, \frac{a}{\sqrt{2}}\right)$

(C)

$\left(\frac{a}{\sqrt{2}}, 0\right)$

(D)

$\left(-\frac{a}{\sqrt{2}}, 0\right)$

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Q2.

$A$ square,of each side $2$,lies above the $x-$axis and has one vertex at the origin. If one of the sides passing through the origin makes an angle $30^o$ with the positive direction of the $x-$axis,then the sum of the $x-$coordinates of the vertices of the square is

(A)

$2\sqrt{3} - 1$

(B)

$2\sqrt{3} - 2$

(C)

$\sqrt{3} - 2$

(D)

$\sqrt{3} - 1$

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