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Recent questions tagged circle

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4
TIFR CSE 2021 | Part A | Question: 2
What is the area of a rectangle with the largest perimeter that can be inscribed in the unit circle (i.e., all the vertices of the rectangle are on the circle with radius $1$)? $1$ $2$ $3$ $4$ $5$
What is the area of a rectangle with the largest perimeter that can be inscribed in the unit circle (i.e., all the vertices of the rectangle are on the circle with radius...
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2 votes
1 answer
7
GATE Overflow Test Series | Quantitative Aptitude | Test 1 | Question: 8
A sector has radius $17\,\text{cm}$ and angle $30^\circ.$ Its area equals _______ $75.66\,\text{cm}^{2}$ $75.42\,\text{cm}^{2}$ $75.96\,\text{cm}^{2}$ $74.62\,\text{cm}^{2}$
A sector has radius $17\,\text{cm}$ and angle $30^\circ.$ Its area equals _______$75.66\,\text{cm}^{2}$$75.42\,\text{cm}^{2}$$75.96\,\text{cm}^{2}$$74.62\,\text{cm}^{2}$
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11
TIFR CSE 2020 | Part A | Question: 13
What is the area of the largest rectangle that can be inscribed in a circle of radius $R$? $R^{2}/2$ $\pi \times R^{2}/2$ $R^{2}$ $2R^{2}$ None of the above
What is the area of the largest rectangle that can be inscribed in a circle of radius $R$?$R^{2}/2$$\pi \times R^{2}/2$$R^{2}$$2R^{2}$None of the above
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12
ISI2014-DCG-14
$x^4-3x^2+2x^2y^2-3y^2+y^4+2=0$ 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
$x^4-3x^2+2x^2y^2-3y^2+y^4+2=0$ representsA pair of circles having the same radiusA circle and an ellipseA pair of circles having different radiinone of the above
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0 votes
1 answer
15
ISI2015-MMA-48
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 $\{0\}$ $(-4a,4a)$ $(-a,a)$ $(- \infty, \infty)$
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 fou...
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16
ISI2015-DCG-38
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 $12$ $14$ $16$ $18$
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$$18$
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17
ISI2017-DCG-19
The angle between the tangents drawn from the point $(-1, 7)$ to the circle $x^2+y^2=25$ is $\tan^{-1} (\frac{1}{2})$ $\tan^{-1} (\frac{2}{3})$ $\frac{\pi}{2}$ $\frac{\pi}{3}$
The angle between the tangents drawn from the point $(-1, 7)$ to the circle $x^2+y^2=25$ is$\tan^{-1} (\frac{1}{2})$$\tan^{-1} (\frac{2}{3})$$\frac{\pi}{2}$$\frac{\pi}{3...
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1 votes
1 answer
19
UPPCL AE 2018:85
The set of equations $x^{2} + y^{2} = 1$ and $x + y = 0$ has how many real solutions? Infinite number of solutions No solution $2$ solutions $1$ solution
The set of equations $x^{2} + y^{2} = 1$ and $x + y = 0$ has how many real solutions?Infinite number of solutionsNo solution$2$ solutions$1$ solution
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1 answer
20
ISI2017-MMA-1
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 $\frac{\pi}{3}+\frac{\sqrt{3}}{2}$ $\frac{\pi}{6}+\frac{\sqrt{3}}{4}$ $\frac{\pi}{3}-\frac{\sqrt{3}}{2}$ $\frac{\pi}{6}+\frac{\sqrt{3}}{2}$
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}$$\frac{\pi}{6}+\f...
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0 votes
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21
ISI-2014-14
The locus of the center of a circle that passes through origin and cuts off a length $2a$ from the line $y=c$ is $x^2+2cx=a^2+c^2$ $x^2+2cy=a^2+c^2$ $y^2+cx=a^2+c^2$ $y^2+2cy=a^2+c^2$
The locus of the center of a circle that passes through origin and cuts off a length $2a$ from the line $y=c$ is$x^2+2cx=a^2+c^2$$x^2+2cy=a^2+c^2$$y^2+cx=a^2+c^2$$y^2+2cy...
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17 votes
3 answers
22
GATE CSE 2018 | Question: GA-3
The area of a square is $d$. What is the area of the circle which has the diagonal of the square as its diameter? $\large{\pi} d$ $\large{\pi} d^2$ $\dfrac{1}{4}\large{\pi} d^2$ $\dfrac{1}{2}\large{\pi} d$
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} ...
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