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Recent questions tagged parabola
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ISI2014DCG57
If a focal chord of the parabola $y^2=4ax$ cuts it at two distinct points $(x_1,y_1)$ and $(x_2,y_2)$, then $x_1x_2=a^2$ $y_1y_2=a^2$ $x_1x_2^2=a^2$ $x_1^2x_2=a^2$
asked
Sep 24, 2019
in
Others
by
Arjun

31
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isi2014dcg
parabola
nongate
0
votes
1
answer
2
ISI2015MMA48
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 24, 2019
in
Geometry
by
Arjun

69
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isi2015mma
circle
parabola
nongate
0
votes
0
answers
3
ISI2015DCG41
A straight line touches the circle $x^2 +y^2=2a^2$ and also the parabola $y^2=8ax$. Then the equation of the straight line is $y=\pm x$ $y=\pm (x+a)$ $y=\pm (x+2a)$ $y=\pm (x21)$
asked
Sep 19, 2019
in
Others
by
gatecse

29
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isi2015dcg
geometry
parabola
0
votes
0
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4
ISI2016DCG41
A straight line touches the circle $x^{2}+y^{2}=2a^{2}$ and also the parabola $y^{2}=8ax.$ Then the equation of the straight line is $y=\pm x$ $y=\pm(x+a)$ $y=\pm(x+2a)$ $y=\pm(x21)$
asked
Sep 19, 2019
in
Geometry
by
gatecse

20
views
isi2016dcg
lines
parabola
nongate
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