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Recent questions in Coordinate Geometry
Questions
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JEEMAIN and NEET
>>
Mathematics
>>
Class11
>>
Coordinate Geometry
The radius of general equation of circle is
cl27413
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q126
medium
asked
Mar 25, 2014
by
balaji.thirumalai
1
answer
Find the centre and radius of the circle $2x^2+2y^2-8x-7y=0$
jeemain
math
coordinate-geometry-conic -sections
circle
ch11
easy
asked
Mar 21, 2014
by
balaji.thirumalai
1
answer
Find the equation of the tangent at the point $(0,2)$ to the circle $x^2+y^2-4x+2y-8 = 0$
jeemain
math
coordinate-geometry-conic -sections
circle
ch11
easy
asked
Mar 21, 2014
by
balaji.thirumalai
1
answer
For what relation will the circle touch each other $S_1=x^2+y^2+2gx+2fy=0$ and $S_2=x^2+y^2+2g'x+2f'y=0$?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q156
difficult
asked
Feb 12, 2014
by
sreemathi.v
1
answer
Find the relation so that the two circles $x^2+y^2+2gx+2fy+c=0$ and $x^2+y^2+2g_1x+2f_1+c_1=0$cut each other orthogonally.
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q155
easy
asked
Feb 12, 2014
by
sreemathi.v
1
answer
Find the angle of intersection of two circles?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q154
difficult
asked
Feb 12, 2014
by
sreemathi.v
1
answer
Find the equation of circle passing through (1,1) and the point of intersection of the circles $x^2+y^2+10x-y=0$ and $2x^2+2y^2+2x-5y-23=0$
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q153
difficult
asked
Feb 12, 2014
by
sreemathi.v
1
answer
Find the length of common chord of the two circles $(x-p)^2+(y-q)^2=c^2$ and $(x-q)^2+(y-p)^2=c^2$.
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q152
difficult
asked
Feb 12, 2014
by
sreemathi.v
1
answer
Find the locus of a middle point of a system of parallel chords of a circle $x^2+y^2=a^2$?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q151
difficult
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the locus of the point of intersection of two perpendicular tangents to a given circle $x^2+y^2=a^2$?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q150
difficult
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the equation of tangents from the point A(3,2) to the circle $x^2+y^2+4x+6y+8=0$?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q149
difficult
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the equation of chord of contact of tangent drawn from a point $(x_1,y_1)$ to the circle $x^2+y^2=a^2$?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q148
difficult
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the area of triangle formed by the tangents (4,3) to the circle $x^2+y^2=9$ and the line segment joining their point of contact?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q147
difficult
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the length of tangents drawn from the point (4,5) to the circle $x^2+y^2+3x-2y-11=0$?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q146
difficult
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the equation of the circle(s) which touches the axes and whose centre lies on the line $2x-y=3$?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q145
difficult
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the equation of the circumcircle of the quadilateral formed by the four lines $x+y\pm1=0$ and $x-y\pm 1=0$?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q144
difficult
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the position of a point (2,3) with respect to circle $x^2+y^2+4x+4y+4=0$
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q143
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the shortest and largest distance from the point (2,-7) to the circle $x^2+y^2-14x-10y-151=0$.
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q142
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
If two tangents are drawn from a point on the circle $x^2+y^2=36$ to the circle $x^2+y^2=18$ then find the angle between the tangents.
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q141
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the parametric form of normal for the circle $x^2+y^2=a^2$
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q140
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
The maximum area of the triangle formed by the circle $x^2+y^2=a^2$ with two of its vertices are diametrically opposite points is?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q139
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
For the equation $(x-2)^2+(y-2)^2=4$ find the equation of tangent at $(2,4)$?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q138
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the equation of normal to the circle $(x-2)^2+(y-2)^2=4$ at $(2,4)$ ?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q137
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the equation of normal for the circle, $x^2+y^2+2gx+2fy+c=0$ at $(x_1,y_1)$
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q136
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the equation of tangent at the point $p(x_1,y_1)$ to a circle $x^2+y^2+2gx+2fy+c=0$?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q135
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Discuss the position of the points (2,3) and(1,3) with respect to circle $x^2+y^2-4x+2y-11=0$?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q134
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
The abscissac of two points A and B are the roots of the equation $x^2+2ax-b^2=0$ and their ordinates are the roots of the equation $x^2+2px-q^2=0$.Find the equation and the radius of the circle with AB as diameter.
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q133
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the length of the intercept on the straight line $4x-3y-10=0$ by the circle $x^2+y^2-2x+4y-20=0$
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q132
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Equation of tangent of circle whose centre is (0,0) at a point (2,2) which lie on circle?
jeemain
math
class11
coordinate-geometry-conic-sections
circle
ch11
q131
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the equation of circle passing through (0,0) and (0,B)?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q130
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the area of equilateral triangle inscribed in the circle $x^2+y^2+2gx+2fy+c=0$?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q129
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Find the centre and radius of the circle $x^2+y^2-2x-4y=9$.
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q128
medium
asked
Feb 11, 2014
by
sreemathi.v
1
answer
Write equation of circle whose diametrically opposite point are (1,2) & (-1,-2) is?
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
q127
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
The radius of a circle with it's center at $(2,1)$ and whose one chord is the diameter of the circle $x^2+y^2-2x-6y+6=0$ is:
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the length of sub tangent and sub-normal?(for hyperbola)
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q125
difficult
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the equation of a diameter bisecting a system of parallel chords of slope m of the hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q124
difficult
asked
Feb 10, 2014
by
sreemathi.v
1
answer
A submarine on the surface of the ocean, is on a course parallel to and 60 Km from the shore line as shown in the figure. There are two transmitters, X and Y located 200 Km from each other on the shore line. The submarine uses the signals to figure out that its 50 Km closer to station Y than to X. Find the distance between the submarine to each of the stations.
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the equation and length of common tangent to hyperbola $\large\frac{x^2}{p^2}-\frac{y^2}{q^2}$$=1$ and $\large\frac{y^2}{p^2}-\frac{x^2}{q^2}$$=1$
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q122
difficult
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the equation of an rectangular hyperbola whose centre is origin and its asymptotes coincide with the co-ordinate axes?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q121
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the equation of asymptotes for the hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q120
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the locus of intersection of two perpendicular tangent to the hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q119
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the equation of chord of contact for hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q118
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the equation of normal for the hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$ in parametric form?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q117
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the equation of normal to the hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$ at $(x_1,y_1)$ ?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q116
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the equation of tangent for the hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$ in parametric form?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q115
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
Find the equation of tangent for the hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q114
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
For the equation to represent the hyperbola $\large\frac{x^2}{9-\lambda}+\frac{y^2}{6-\lambda}$$=1$ what should be the value of $\lambda$?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q113
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
For what value of $\lambda$ does the line $y=2x+\lambda$ touches the hyperbola $16x^2-9y^2=144$?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q112
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
If the line $y=mx+c$ touches the hyperbola $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ then find the value of c .
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q111
medium
mock
asked
Feb 10, 2014
by
sreemathi.v
1
answer
The foci of a hyperbola coincide with the foci of the ellipse $\large\frac{x^2}{25}+\frac{y^2}{9}$$=1$.Find the equation of the hyperbola if its ecentricity is 3?
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
q110
medium
asked
Feb 10, 2014
by
sreemathi.v
1
answer
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