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Recent questions tagged parabola
1
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1
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1
ISI2014-DCG-57
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 $x_1x_2=a^2$ $y_1y_2=a^2$ $x_1x_2^2=a^2$ $x_1^2x_2=a^2$
Arjun
asked
in
Others
Sep 23, 2019
by
Arjun
300
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isi2014-dcg
parabola
non-gate
0
votes
1
answer
2
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 $\{0\}$ $(-4a,4a)$ $(-a,a)$ $(- \infty, \infty)$
Arjun
asked
in
Geometry
Sep 23, 2019
by
Arjun
606
views
isi2015-mma
circle
parabola
non-gate
0
votes
0
answers
3
ISI2015-DCG-41
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 $y=\pm x$ $y=\pm (x+a)$ $y=\pm (x+2a)$ $y=\pm (x-21)$
gatecse
asked
in
Others
Sep 18, 2019
by
gatecse
219
views
isi2015-dcg
geometry
parabola
0
votes
0
answers
4
ISI2016-DCG-41
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 $y=\pm x$ $y=\pm(x+a)$ $y=\pm(x+2a)$ $y=\pm(x-21)$
gatecse
asked
in
Geometry
Sep 18, 2019
by
gatecse
181
views
isi2016-dcg
lines
parabola
non-gate
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