search
Log In
1 vote
134 views

Consider a circle with centre at origin and radius $2\sqrt{2}$. A square is inscribed in the circle whose sides are parallel to the $X$ an $Y$ axes. The coordinates of one of the vertices of this square are

  1. $(2, -2)$
  2. $(2\sqrt{2},-2)$
  3. $(-2, 2\sqrt{2})$
  4. $(2\sqrt{2}, -2\sqrt{2})$
in Numerical Ability
recategorized by
134 views
0
Is $A$ the answer??
0
Its a duplicate question, has been asked 2 times already.

1 Answer

0 votes
Answer $A$

Let radius of the circle be $r$, then:$$ r = 2\sqrt2$$

Draw perpendiculars from this point to $x$ and $y$ axes respectively and let them be $a$ and $b$.

Now,

$$a^2 + b^2  = r^2 \implies 2a^2 = r^2 \;\because (a = b)$$

$$\implies 2a^2 = (2\sqrt2)^2 = 4 \times 2 \implies a = \pm2$$

So, the coordinates are $(2, -2)$

$\therefore A$ is the correct option.

Related questions

0 votes
1 answer
1
58 views
The equation of any circle passing through the origin and with its centre on the $X$-axis is given by $x^2+y^2-2ax=0$ where $a$ must be positive $x^2+y^2-2ax=0$ for any given $a \in \mathbb{R}$ $x^2+y^2-2by=0$ where $b$ must be positive $x^2+y^2-2by=0$ for any given $b \in \mathbb{R}$
asked Sep 23, 2019 in Numerical Ability Arjun 58 views
0 votes
0 answers
2
36 views
Four squares of sides $x$ cm each are cut off from the four corners of a square metal sheet having side $100$ cm. The residual sheet is then folded into an open box which is then filled with a liquid costing Rs. $x^2$ with $cm^3$. The value of $x$ for which the cost of filling the box completely with the liquid is maximized, is $100$ $50$ $30$ $10$
asked Sep 18, 2019 in Numerical Ability gatecse 36 views
0 votes
1 answer
3
68 views
If $a,b,c$ are sides of a triangle $ABC$ such that $x^2-2(a+b+c)x+3 \lambda (ab+bc+ca)=0$ has real roots then $\lambda < \frac{4}{3}$ $\lambda > \frac{5}{3}$ $\lambda \in \big( \frac{4}{3}, \frac{5}{3}\big)$ $\lambda \in \big( \frac{1}{3}, \frac{5}{3}\big)$
asked Sep 23, 2019 in Numerical Ability Arjun 68 views
0 votes
1 answer
4
64 views
Two opposite vertices of a rectangle are $(1,3)$ and $(5,1)$ while the other two vertices lie on the straight line $y=2x+c$. Then the value of $c$ is $4$ $3$ $-4$ $-3$
asked Sep 23, 2019 in Numerical Ability Arjun 64 views
...