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Recent questions in Class11
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JEEMAIN and NEET
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Mathematics
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Class11
Class11
Sets
Relations and Functions
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Bionomial Theorem and Simple Applications
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Coordinate Geometry: Conic Sections
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Mathematical Reasoning
Statistics
Probability
The hyperbola whose transverse and conjugate axes respectively the conjugate and transverse axes of given hyperbola is called
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q101
easy
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Write the equation of conjugate hyperbola for the hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q100
easy
asked
Feb 10, 2014
by
sreemathi.v
1
answer
What is the relation between $b$ and $a$ for an hyperbola?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q99
easy
asked
Feb 7, 2014
by
sreemathi.v
1
answer
What should be the value of eccentricity for a hyperbola?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q98
easy
asked
Feb 7, 2014
by
sreemathi.v
1
answer
The locus of a point which moves in a plane such that its distance from a fixed point (i.e focus) is e times its distance from a fixed line (i.e directix).It is called as __________
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q97
easy
asked
Feb 7, 2014
by
sreemathi.v
1
answer
Find the locus of mid-points of the portions of the tangents to the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ intercepted between the axis?
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
q96
difficult
asked
Feb 7, 2014
by
sreemathi.v
1
answer
Find the locus of feet of perpendicular from the foci on and tangent to an ellipse?
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
q95
difficult
asked
Feb 7, 2014
by
sreemathi.v
1
answer
Find the length of sub tangent and sub-normal for an ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$?
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
q94
difficult
asked
Feb 7, 2014
by
sreemathi.v
1
answer
If the angle between the straight line joining foci and the ends of the minor axis of the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ is $90^{\large\circ}$ .Find its eccentricity?
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
q93
medium
asked
Feb 7, 2014
by
sreemathi.v
1
answer
The equation $\large\frac{x^2}{5-a}+\frac{y^2}{4-a}$$=1$ represent ellipse if value of 'a' belongs to what value?
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
q92
medium
asked
Feb 7, 2014
by
sreemathi.v
1
answer
The length of the major axis of the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ is 2 times the length of minor axis its eccentricity is :
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
q91
medium
asked
Feb 7, 2014
by
sreemathi.v
1
answer
Find the value of p for which $e=\large\frac{1}{2}$ where ellipse is $\large\frac{x^2}{4}+\frac{y^2}{p^2}$$=1$?
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
q90
medium
asked
Feb 7, 2014
by
sreemathi.v
1
answer
Find the maximum area of $\Delta PSS'$ for the ellipse $\large\frac{x^2}{36}+\frac{y^2}{16}$$=1$ where S,S' are foci & P is any point on ellipse?
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
q89
medium
asked
Feb 7, 2014
by
sreemathi.v
1
answer
Find the equation of chord of contact of tangents drawn from a point $(x_1,y_1)$ to the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$.
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
q88
medium
asked
Feb 7, 2014
by
sreemathi.v
1
answer
Find the common tangent of $x^2+y^2=4$ and $2x^2+y^2=2$.
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
q87
medium
asked
Feb 7, 2014
by
sreemathi.v
1
answer
Find the equation of director circle for ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$?
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
q86
medium
asked
Feb 7, 2014
by
sreemathi.v
1
answer
The ecentricity of an ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ whose latus rectum is half to its major axis is e.Find the value of e?
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
q85
medium
asked
Feb 7, 2014
by
sreemathi.v
1
answer
Find the length of lactus rectum and end points of lactus rectum for a ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$?
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
q84
medium
asked
Feb 7, 2014
by
sreemathi.v
1
answer
For what value of $\lambda$ does the line $y=x+\lambda$ touches the ellipse $\large\frac{x^2}{36}+\frac{y^2}{25}$$=1$?
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
q83
medium
asked
Feb 7, 2014
by
sreemathi.v
1
answer
Find the condition of tangency for a line $y=mx+c$ touches the ellipse
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
q82
medium
asked
Feb 7, 2014
by
sreemathi.v
1
answer
Find the equation of the ellipse referred to its centre whose minor axis is equal to the distance between the foci and whose latus is 10?
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q81
medium
asked
Feb 7, 2014
by
sreemathi.v
2
answers
Find the length of major and minor axes of the ellipse $3x^2+2y^2=6$?Also find its eccentricity?
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
q80
medium
asked
Feb 7, 2014
by
sreemathi.v
1
answer
Find the equation of an ellipse whose focus is $(-1,1)$ eccentricity is $\large\frac{1}{2}$ and the directix is $x-y+3=0?$
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
q79
easy
asked
Feb 7, 2014
by
sreemathi.v
1
answer
Find the position of the point (4,-3) relative to the ellipse $5x^2+7y^2=140$?
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
q78
easy
asked
Feb 7, 2014
by
sreemathi.v
1
answer
Find the parametric form of normal for the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$?
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
q77
easy
asked
Feb 7, 2014
by
sreemathi.v
1
answer
Find the equation of normal for ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$?
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
q76
easy
asked
Feb 7, 2014
by
sreemathi.v
1
answer
Find the equation of tangent for ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$?
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
q75
easy
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the parametric form of tangent for the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}=$$1$
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
q74
easy
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the coordinate of double ordinate for the ellipse $\large\frac{x^2}{a^2}+\large\frac{y^2}{b^2}$$=1$
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
q73
easy
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the vertex and focus of the parabola $\large\frac{x^2}{64}+\frac{y^2}{100}$=1.
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
q72
easy
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the position of the point (1,1) relative to the ellipse $\large\frac{x^2}{64}+\frac{y^2}{100}$=1.
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
q71
easy
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the eccentricity of ellipse $\large\frac{x^2}{64}+\frac{y^2}{100}=1$?
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
q70
easy
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Name the axes are their in the ellipse
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
q69
easy
asked
Feb 6, 2014
by
sreemathi.v
1
answer
A ellipse is the locus of a point which moves in a plane such that its distance from a fixed point (i.e focus) is a constant ratio from a _____________
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
q68
easy
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the length of tangent,subtangent,normal and subnormal to $y^2=4ax$ at $(at^2,2at)$
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q67
difficult
asked
Feb 6, 2014
by
sreemathi.v
1
answer
If the normal to a parabola $y^2=4ax$ make an angle $\theta$ with the axis and $\phi$ is the angle it makes when it cut the parabola again find the relation between $\theta$ & $\phi$?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q66
difficult
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the vertex,lactus rectum,axis and the directix of the parabola $(y-2)^2=4(x-1)$?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q65
difficult
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the area of triangle inscribed in the parabola $y^2=4ax$ with vertices $(x_1,y_1),(x_2,y_2)$ & $(x_3,y_3)$?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q64
difficult
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the centroid of the triangle formed by the feet of the three normal lies on the axis of parabola?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q63
difficult
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the equation of tangent to the parabola $(y-6)^2=4a(x-p)$ at $(at^2,2at)$?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q62
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the locus of the points of intersection of the mutually perpendicular tangents to a parabola?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q61
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the equation of parabola whose vertex is (4,2) and focus is (6,2)?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q60
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the length of lactus Rectum for the parabola $y^2=4ax$?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q59
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the area of triangle by tangents at the point $P(at_1^2,2at_1)$ & $Q(at_2^2,2at_2)$ for the parabola $y^2=4ax$ .
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q58
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the point of intersection of tangents at any two points on the parabola $y^2=4ax$?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q57
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the point of intersection of normals at any two points on the parabola $y^2=4ax$
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q56
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the relation between $'t_1'$ meets the parabola again at $'t_2'$ for the parabola $y^2=4ax$?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q55
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Show that normal to the parabola $y^2=4x$ at the point (1,2) meet it again at some point of parabola, find the point?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q54
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the conditions for a co-normal point (h,k) of a parabola $y^2=4ax$
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q53
medium
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the equation of common tangent to the parabola $y^2=4x$ and $x^2=4y$?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q52
medium
asked
Feb 5, 2014
by
sreemathi.v
1
answer
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