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Recent questions tagged circle
ASK
Show that the point $(x,y)$ given by $x=\large\frac{2at}{1+t^2}$ and $y=\large\frac{a(1-t^2)}{1+t^2}$ lies on a circle for all real values of $t$ such that $-1\leq t \leq 1$ where $a$ is any given real numbers.
cbse
class11
math
conic-sections
circle
exemplar
sec-b
medium
q2
asked
Oct 17, 2014
by
sreemathi.v
1
answer
The equation of a circle with origin as centre and passing through the vertices of an equilateral triangle whose median is of length $3a$ is
cbse
class11
math
conic-sections
circle
exemplar
sec-a
easy
q50
asked
Oct 16, 2014
by
sreemathi.v
1
answer
Equation of the circle with centre on the $y$-axis and passing through the origin and the point $(2,3)$ is
cbse
class11
math
conic-sections
circle
exemplar
sec-a
medium
q49
asked
Oct 16, 2014
by
sreemathi.v
1
answer
Equation of a circle which passes through $(3,6)$ and touches the axes is
cbse
class11
math
conic-sections
circle
exemplar
sec-a
medium
q48
asked
Oct 16, 2014
by
sreemathi.v
1
answer
The area of the circle centred at $(1,2)$ and passing through $(4,6)$ is
cbse
class11
math
conic-sections
circle
exemplar
sec-a
easy
q47
asked
Oct 16, 2014
by
sreemathi.v
1
answer
The equation of the circle circumscribing the triangle whose sides are the lines $y=x+2,3y=4x,2y=3x$ is _____________
cbse
class11
math
conic-sections
circle
exemplar
sec-c
medium
q42
asked
Oct 15, 2014
by
sreemathi.v
1
answer
The equation of the circle having centre at $(3,-4)$ and touching the line $5x+12y-12=0$ is __________
cbse
class11
math
conic-sections
circle
exemplar
sec-a
medium
q41
asked
Oct 15, 2014
by
sreemathi.v
1
answer
State whether the following statement is True or False : The point $(1,2)$ lies inside the circle $x^2+y^2-2x+6y+1=0$.
cbse
class11
math
conic-sections
circle
exemplar
sec-a
easy
q36
asked
Oct 15, 2014
by
sreemathi.v
1
answer
State whether the following statement is True or False: If the line $lx+my=1$ is a tangent to the circle $x^2+y^2=a^2$,then the point $(l,m)$ lies on a circle.
cbse
class11
math
conic-sections
circle
exemplar
sec-a
medium
q35
asked
Oct 15, 2014
by
sreemathi.v
1
answer
State whether the following statement is True or False:The shortest distance from the point $(2,-7)$ to the circle $x^2+y^2-14x-10y-151=0$ is equal to $5$.
cbse
class11
math
conic-sections
circle
exemplar
sec-a
medium
q34
asked
Oct 15, 2014
by
sreemathi.v
1
answer
State whether the following statement is True or False: The line $x+3y=0$ is a diameter of the circle $x^2+y^2+6x+2y=0$.
cbse
class11
math
conic-sections
circle
exemplar
sec-a
easy
q33
asked
Oct 15, 2014
by
sreemathi.v
1
answer
Find the equation of a circle passing through the point $(7,3)$ having radius $3$ units and whose centre lies on the line $y=x-1$.
cbse
class11
math
conic-sections
circle
exemplar
sec-c
medium
q27
asked
Oct 14, 2014
by
sreemathi.v
1
answer
Find the equation of a circle of radius 5 which is touching another circle $x^2+y^2-2x-4y-20=0$ at $(5,5)$.
cbse
class11
math
conic-sections
circle
exemplar
sec-b
medium
q26
asked
Oct 14, 2014
by
sreemathi.v
1
answer
Find the equation of a circle whose centre $(3,-1)$ and which cuts off a chord of length $6$ units on the line $2x-5y+18=0$.
cbse
class11
math
conic-sections
circle
exemplar
sec-b
medium
q25
asked
Oct 13, 2014
by
sreemathi.v
1
answer
Find the equation of the circle which passes through the points $(2,3)$ and $(4,5)$ and the centre lies on the straight line $y-4x+3=0$.
cbse
class11
math
conic-sections
circle
exemplar
sec-c
medium
q24
asked
Oct 13, 2014
by
sreemathi.v
1
answer
If the lines $2x-3y=5$ and $3x-4y=7$ are the diameters of a circle of area 154 square units,then obtain the equation of the circle.
cbse
class11
math
conic-sections
circle
exemplar
sec-c
medium
q23
asked
Oct 13, 2014
by
sreemathi.v
1
answer
Find the equation of a circle concentric with the circle $x^2+y^2-6x+12y+15=0$ and has double of its area.
cbse
class11
math
conic-sections
circle
exemplar
sec-b
difficult
q10
asked
Oct 9, 2014
by
sreemathi.v
1
answer
If the line $y=\sqrt 3x+k$ touches the circle $x^2+y^2=16$,then find the value of $k$.
cbse
class11
math
conic-sections
circle
exemplar
sec-b
difficult
q9
asked
Oct 8, 2014
by
sreemathi.v
1
answer
Find the equation of the circle having $(1,-2)$ as its centre and passing through $3x+y=14,2x+5y=18$.
cbse
class11
math
conic-sections
circle
exemplar
sec-b
medium
q8
asked
Oct 8, 2014
by
sreemathi.v
1
answer
If one end of a diameter of the circle $x^2+y^2-4x-6y+11=0$ is $(3,4)$,then find the coordinate of the other end of the diameter.
cbse
class11
math
conic-sections
circle
exemplar
sec-b
medium
q7
asked
Oct 8, 2014
by
sreemathi.v
1
answer
Find the equation of a circle which touches both the axes and the line $3x-4y+8=0$ and lies in the third quadrant.
cbse
class11
math
conic-sections
circle
exemplar
sec-b
medium
q6
asked
Oct 8, 2014
by
sreemathi.v
1
answer
Which of the following are tangents to the circle $x^2+y^2-4x+8y+12=0$ from $(5-3)$?
cl37474
cbse
class11
math
conic-sections
circle
additionalproblem
sec-c
easy
ch11
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Which of the following are tangents to the circle $x^2+y^2-6x-2y-15=0$ which are parallel to the line $3x+4y+20=0$?
cbse
class11
math
conic-sections
circle
additionalproblem
sec-b
easy
ch11
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Given the circle $x^2+y^2+2x-4y+1=0$, find the length of a tangent from the point $(3,0)$ to the circle.
cl37466
cbse
class11
math
conic-sections
circle
additionalproblem
sec-b
easy
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Given the circle $x^2+y^2-4x+6y-12=0$, find the tangent at the point $(5,-7)$ on the circle.
cbse
class11
math
conic-sections
circle
additionalproblem
sec-a
easy
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
A circle of radius $\sqrt 20$ has the point $(-1,3)$. Its centre is on the line $x=-y$. Which of the following equations satisfies these conditions?
cbse
class11
math
conic-sections
circle
additionalproblem
sec-c
easy
ch11
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
If the lines $3x – 4y + 4 = 0$ and $6x – 8y – 7 = 0$ are tangents to a circle, then find the radius of the circle
cbse
class11
math
conic-sections
circle
exemplar
sec-b
medium
q5
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Find the equation of the circle which touches $x$-axis and whose centre is $(1, 2)$
cbse
class11
math
conic-sections
circle
exemplar
sec-a
easy
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
If a circle passes through the point (0, 0) (a, 0), (0, b) then find the coordinates of its centre.
cbse
class11
math
conic-sections
circle
exemplar
sec-a
easy
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Find the equation of the circle which touches the both axes in first quadrant and whose radius is $a$?
cbse
class11
math
conic-sections
circle
exemplar
sec-a
easy
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Find the points of the conic $y=x^2+7x+2$ which is nearest to the line $3x-y-3=0$
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
Find the equation of the chord of the parabola $y^2=12x$ which is bisected at $(5,-7)$
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
The radius of the circle passing through the foci of the ellipse $\large\frac{x^2}{16}+\frac{y^2}{9}$$=1$ and having its center at $(0,3)$ is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
The equation $2x^2+3y^2-8x-18y+35=k$ represents
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
The circle passing through $(1,-2)$ and touching the axis of x at $(3,0)$ also passes through the point.
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
The length of the diameter of the circle which touches the x-axis at the point $(1,0)$ and passes through the point $(2,3)$ is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
The circle $x^2+y^2=4x+8y+5$ intersects the line $3x-4y=m$ at the two distinct points if
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
If a circle passes through the points $(a,b)$ and cuts the circle $x^2+y^2=4$ orthogonally, then the locus of its centre is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
The two circles $x^2+y^2=ax$ and $x^2+y^2=c^2\; (c > 0) $ touch each other if
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
Intercept on the line $y=x$ by the circle $x^2+y^2-2x=0$ is $AB$ equation of the circle on AB as a diameter is :
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
If the lines $2x+3y+1=0,\qquad 3x-y-4=0$ lie along diameter of a circle of circumference $10\pi$ then the equation of the circle is :
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The lines $2x-3y=5$and $3x-4y=7$ are diameters of a circle having area as $154$ sq.units. The equation of the circle is .
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
difficult
asked
Apr 8, 2014
by
meena.p
1
answer
If the two circles $(x-1)^2+(y-3)^2=r^2$ and $x^2+y^2-8x+2y+8=0$ intersect in two distinct point then
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The centre of the circle passes through $(0,0)$ and $(1,0)$ and touching the circle $x^2+y^2=9$ is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 8, 2014
by
meena.p
1
answer
If the chord $y=mx+1$ of the circle $x^2+y^2=1$ substance on angle of measures $45^{\circ}$ at the major segment of the circle then value of m is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
difficult
asked
Apr 8, 2014
by
meena.p
1
answer
The number of common tangent to the circle $x^2+y^2=4$ and $x^2+y^2-6x-8y=24$
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The circle passing through the point $(-1,0)$ and touching the y-axis at $(0,2)$ also passes through the point .
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
difficult
asked
Apr 8, 2014
by
meena.p
1
answer
The center of circle inscribed in square formed by the lines $x^2-8x+12=0$ and $y^2-14\;y+45=0$ is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 8, 2014
by
meena.p
1
answer
If the tangent at the point P on the circle $x^2+y^2+6x=2$ meets a straight line $5x-2y+6=0$ at a point Q on the y-axis , then the length of $PQ$ is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 8, 2014
by
meena.p
1
answer
The area enclosed within the curve $|x|+|y|=1$ is
jeemain
math
class11
coordinate-geometry-conic -sections
circle
ch11
medium
asked
Apr 8, 2014
by
meena.p
1
answer
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