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Recent questions tagged ellipse
+1
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1
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Prove that the line y = x + 2 touches the hyperbola 5x^2 - 9y^2 = 45 and also find the point of contact.
asked
Apr 6, 2019
in
Mathematics
by
kratos
hyperbola
ellipse
+1
vote
1
answer
If the tangent at (α β) of x^2/a^2 - y^2/b^2 =1 meets the auxiliary circle at (x1,y1) and (x2,y2),
asked
Apr 4, 2019
in
Class 12
by
kratos
class-12
hyperbola
ellipse
+2
votes
1
answer
Let P be a variable point on the ellipse x^2/a^2 + y^2/b^2 = 1 with foci F1 and F2. If A is the area of the triangle PF1F2,
asked
Apr 4, 2019
in
JEE
by
kratos
the maxima and minima
jee
jee mains
jee main
ellipse
+3
votes
1
answer
Find the position of the point (5, – 4) relative to the hyperbola 9x^2 – y^2 = 1.
asked
Apr 4, 2019
in
Class 11
by
kratos
hyperbola
class-11
ellipse
+2
votes
1
answer
Find the centre, vertices, eccentricity and foci of the hyperbola 9x^2 - 18x - 16y^2 - 64y + 89 = 0.
asked
Apr 4, 2019
in
Mathematics
by
kratos
hyperbola
ellipse
+3
votes
1
answer
Point P is on the circle x^2 + y^2 = a^2. AB is the chord of contact of P with respect to the ellipse
asked
Apr 3, 2019
in
Mathematics
by
kratos
hyperbola
ellipse
+1
vote
1
answer
Find the hyperbola whose asymptotes are 2x – y = 3 and 3x + y – 7 = 0 and which passes through the point (1, 1).
asked
Apr 2, 2019
in
JEE
by
kratos
hyperbola
ellipse
jee
jee mains
+1
vote
1
answer
A tangent is drawn to the ellipse x^2 + 2y^2 = 2, then the locus of the midpoint of portion of the tangent intercepted between the coordinate axes is
asked
Mar 31, 2019
in
JEE
by
kratos
hyperbola
jee
parabola
jee mains 2019
jee mains
ellipse
+3
votes
1
answer
If the equation of the asymptotes of the hyperbola 3x^2 + 10xy + 14x + 22y + 7 = 0 is 3x2 + 10xy + 8y2 + 14x + 22y + c = 0
asked
Mar 31, 2019
in
Mathematics
by
kratos
hyperbola
ellipse
+2
votes
1
answer
The ends A , B of a straight line segment of constant length c slide upon the fixed rectangular axes OX ,OY respectively.
asked
Mar 30, 2019
in
JEE
by
kratos
hyperbola
the tangent and normal
vector algebra
jee
class-12
jee main
coordinate geometry
ellipse
+2
votes
1
answer
Let A be the point (t, 2) and B be the point on the y-axis such that the slope of AB is - t. Then, the locus of the midpoint of AB,
asked
Mar 29, 2019
in
Mathematics
by
kratos
hyperbola
jee
plane geometry
parabola
mathematics
jee mains
coordinate geometry
ellipse
geometry
+2
votes
1
answer
Defind Hyperbola as a set of points and derive the equation of hyperbola in standard form x^2/a^2 - y^2/b^2 = 1
asked
Mar 28, 2019
in
JEE
by
kratos
hyperbola
relation
class-11
jee
function
conic sections
jee mains 2019
jee mains
ellipse
+2
votes
1
answer
If one diameter of an ellipse bisects the chords parallel to another, then the second one bisects the chords parallel to the first.
asked
Mar 28, 2019
in
Mathematics
by
kratos
hyperbola
ellipse
+3
votes
1
answer
A straight line AB touches the ellipse x^2/a^2 + y^2/b^2 = 1 & the circle x^2+y^2 =r^2 where a >r > b.
asked
Mar 27, 2019
in
JEE
by
kratos
hyperbola
ellipse
jee
jee mains
+2
votes
1
answer
Find the point on the ellipse x^2 + 2y^2 = 6 which is nearest to the line x + y - 7 = 0.
asked
Mar 27, 2019
in
Mathematics
by
kratos
hyperbola
ellipse
+2
votes
1
answer
Find eccentricity , coordinates of foci , equation of directrices , lengt h of major and minor axes and length of latus ****** 9x^2 + 4y^2 = 36
asked
Mar 26, 2019
in
JEE
by
kratos
hyperbola
ellipse
jee
jee mains
+2
votes
1
answer
Common tangents are drawn to the parabola y^2= 4x = & the ellipse 3x^2 +8y^2 =48
asked
Mar 24, 2019
in
JEE
by
kratos
hyperbola
ellipse
jee
jee mains
+1
vote
1
answer
Find the eccentricity and foci of the hyperbola 9x^2 -16y^2 + 32y - 6 = 0
asked
Mar 24, 2019
in
Class 11
by
kratos
class-11
hyperbola
ellipse
+3
votes
1
answer
The radius of the largest circle inscribed in the ellipse x^2/16 + y^2/4 = 1 and having centre at (1, 0) is
asked
Mar 22, 2019
in
Mathematics
by
kratos
hyperbola
ellipse
+2
votes
1
answer
Point * is one of the foci of the ellipse x^2/25 + y^2/16 = 1 With * as centre and r as radius, a circle
asked
Mar 22, 2019
in
Mathematics
by
kratos
hyperbola
ellipse
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