search
Log In

Recent questions tagged circle

1 vote
1 answer
1
$x^4-3x^2+2x^2y^2-3y^2+y^4+2=0$ represents A pair of circles having the same radius A circle and an ellipse A pair of circles having different radii none of the above
asked Sep 23, 2019 in Others Arjun 60 views
1 vote
1 answer
2
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 $(2, -2)$ $(2\sqrt{2},-2)$ $(-2, 2\sqrt{2})$ $(2\sqrt{2}, -2\sqrt{2})$
asked Sep 23, 2019 in Numerical Ability Arjun 160 views
0 votes
1 answer
3
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 116 views
0 votes
1 answer
4
Suppose the circle with equation $x^2+y^2+2fx+2gy+c=0$ cuts the parabola $y^2=4ax, \: (a>0)$ at four distinct points. If $d$ denotes the sum of the ordinates of these four points, then the set of possible values of $d$ is $\{0\}$ $(-4a,4a)$ $(-a,a)$ $(- \infty, \infty)$
asked Sep 23, 2019 in Geometry Arjun 120 views
0 votes
1 answer
5
The length of the chord on the straight line $3x-4y+5=0$ intercepted by the circle passing through the points $(1,2), (3,-4)$ and $(5,6)$ is $12$ $14$ $16$ $18$
asked Sep 18, 2019 in Numerical Ability gatecse 111 views
0 votes
1 answer
6
The angle between the tangents drawn from the point $(-1, 7)$ to the circle $x^2+y^2=25$ is $\tan^{-1} (\frac{1}{2})$ $\tan^{-1} (\frac{2}{3})$ $\frac{\pi}{2}$ $\frac{\pi}{3}$
asked Sep 18, 2019 in Numerical Ability gatecse 63 views
0 votes
1 answer
7
There are three circles of equal diameter ($10$ units each) as shown in the figure below. The straight line $PQ$ passes through the centres of all the three circles. The straight line $PR$ is a tangent to the third circle at $C$ and cuts the second circle at the points $A$ and $B$ as shown in the figure.Then the length of the line segment $AB$ is $6$ units $7$ units $8$ units $9$ units
asked Sep 18, 2019 in Geometry gatecse 75 views
0 votes
1 answer
8
The area lying in the first quadrant and bounded by the circle $x^2+y^2=4$ and lines $x=0 \text{ and } x=1$ is given by $\frac{\pi}{3}+\frac{\sqrt{3}}{2}$ $\frac{\pi}{6}+\frac{\sqrt{3}}{4}$ $\frac{\pi}{3}-\frac{\sqrt{3}}{2}$ $\frac{\pi}{6}+\frac{\sqrt{3}}{2}$
asked Sep 15, 2018 in Geometry jothee 77 views
0 votes
0 answers
9
The locus of the center of a circle that passes through origin and cuts off a length $2a$ from the line $y=c$ is $x^2+2cx=a^2+c^2$ $x^2+2cy=a^2+c^2$ $y^2+cx=a^2+c^2$ $y^2+2cy=a^2+c^2$
asked Mar 16, 2018 in Mathematical Logic jjayantamahata 73 views
10 votes
3 answers
10
The area of a square is $d$. What is the area of the circle which has the diagonal of the square as its diameter? $\large{\pi} d$ $\large{\pi} d^2$ $\dfrac{1}{4}\large{\pi} d^2$ $\dfrac{1}{2}\large{\pi} d$
asked Feb 14, 2018 in Numerical Ability gatecse 2k views
3 votes
1 answer
11
Let $R$ be the radius of the circle. What is the angle subtended by an arc of length $R$ at the center of the circle? 1 degree 1 radian 90 degrees $\pi$ radians
asked Jun 24, 2016 in Geometry Anuanu 3.1k views
2 votes
2 answers
12
The area of the largest square that can be drawn inside a circle with unit radius is $\sqrt{2}$ $2$ $1$ None of the above
asked May 19, 2016 in Numerical Ability jothee 282 views
8 votes
1 answer
13
The equation of the tangent to the unit circle at point ($\cos \alpha, \sin \alpha $) is $x\cos \alpha-y \sin\alpha=1 $ $x\sin \alpha-y \cos\alpha =1$ $x\cos \alpha+ y\sin\alpha=1 $ $x\sin \alpha-y \cos\alpha=1 $ None of the above.
asked Oct 19, 2015 in Numerical Ability makhdoom ghaya 450 views
To see more, click for the full list of questions or popular tags.
...