MCQ
The four points whose co-ordinates are $(2, 1), (1, 4), (4, 5), (5, 2)$ form :
- Aa rectangle which is not a square
- Ba trapezium which is not a parallelogram
- ✓a square
- Da rhombus which is not a square.
✓
Answer
Correct option: C.
a square
c
$A(2, 1), B (1, 4), C(4, 5), D(5, 2)$
$A(2, 1), B (1, 4), C(4, 5), D(5, 2)$
$AB = BC = CD = DA =\sqrt{10}$
also $AC \bot BD$
i.e. $m_{AC}\, \times\, m_{BD} = -1$
and $AC = BD$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A circle touches $x$ - axis and cuts off a chord of length $2l$ from $y$ - axis. The locus of the centre of the circle is
→The points $( - a, - b),\;(a,b),\;({a^2},ab)$are
→If $\cos \theta - \sin \theta = \sqrt 2 \sin \theta ,$ then $\cos \theta + \sin \theta $ is equal to
→Which of the following is not a negation of the statement A natural number is greater than zero.
If $5x - 12y + 10 = 0$ and $12y - 5x + 16 = 0$ are two tangents to a circle, then the radius of the circle is
→The tangent of angle between the lines whose intercepts on the axes are $a, -b$ and $b, -a,$ respectively, is
→The axis of the parabola $9{y^2} - 16x - 12y - 57 = 0$ is
→If $(20)^{19}+2(21)(20)^{18}+3(21)^2(20)^{17}+\ldots \ldots$. $+20(21)^{19}= k (20)^{19}$, then $k$ is equal to
→If the vertex of a parabola be at origin and directrix be $x + 5 = 0$, then its latus rectum is
→A plane is parallel to $yz-$plane so it is perpendicular to:
→