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State whether each of the following statement is True or False.Justify your answer. ${2,6,10}$ and ${3,7,11}$ are disjoint sets.
cbse
math
class11
ch1
sets
bookproblem
exercise1-4
q12-iv
sec-a
easy
answered
Jul 2
by
yaswanthrreddy4231
2
answers
Find all pairs of consecutive even possitive integers both of which are lar
math
answered
Jun 15
by
pady_1
1
answer
If $\cos\theta=\large\frac{\cos\alpha-\cos\beta}{1-\cos\alpha\cos\beta}$ then prove that one of the values of $\tan\large\frac{\theta}{2}$ is $\tan \large\frac{\alpha}{2}$$\cot \large\frac{\beta}{2}$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-c
difficult
answered
Feb 23
by
nehanagwani
2
answers
Write the following sets in roster form : The set of all letters in word TRIGONOMETRY
cbse
math
class11
ch1
sets
bookproblem
exercise1-1
q3-v
sec-a
easy
answered
Jul 30, 2016
by
sweetypiesneha18
2
answers
3x2âˆ’11xy+10y2âˆ’7x+13y+k=0 denotes a pair of straight lines find the value of k
answered
Jul 1, 2015
by
meena.p
1
answer
if the pair of straight lines x^2-2pxy-y^2=0 and x^2-2qxy-y^2=0 be such that each pair bisects the angles between the other pair prove that pq= -1
pair
of
straight
line
answered
Feb 21, 2015
by
sharmaaparna1
1
answer
Let $(x_1,y_1)$ be the point of intersection of the tangent to the parabola $y^2=4ax$ at the points $t_1$ and $t_2$ . Then $x_1=a{t_1}{t_2}$ and $y_1=a(t_1+t_2)$
parabola
answered
Feb 20, 2015
by
meena.p
1
answer
how to remember equation of tangent . can you show how did you find out Equation of tangent at $(a{t_1}^2,2a{t_1})$ is
parabola
answered
Feb 20, 2015
by
vijayalakshmi.r
1
answer
locus of the point of intersection of tangent to $y^2=4ax$ which intercept a constant length d on the directrix
answered
Jan 19, 2015
by
meena.p
1
answer
Find equation the circum circle of triangle ABC with A(1,0),B(-1,0)C(0,0)
straight
lines
answered
Oct 21, 2014
by
pady_1
1
answer
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
answered
Oct 17, 2014
by
sreemathi.v
1
answer
Equation of the hyperbola with eccentricity $\large\frac{3}{2}$ and foci at $(\pm 2,0)$ is
cbse
class11
math
conic-sections
hyperbola
exemplar
sec-a
easy
q59
answered
Oct 17, 2014
by
sreemathi.v
1
answer
The distance between the foci of a hyperbola is $16$ and its eccentricity is $\sqrt 2$.Its equation is
cbse
class11
math
conic-sections
hyperbola
exemplar
sec-a
easy
q58
answered
Oct 17, 2014
by
sreemathi.v
1
answer
The eccentricity of the hyperbola whose latus rectum is $8$ and conjugate axis is equal to half of the distance between the foci is
cbse
class11
math
conic-sections
hyperbola
exemplar
sec-a
easy
q57
answered
Oct 17, 2014
by
sreemathi.v
1
answer
If $e$ is the eccentricity of the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}\normalsize =1\;(a < b)$,then
cbse
class11
math
conic-sections
ellipse
exemplar
sec-a
easy
q56
answered
Oct 17, 2014
by
sreemathi.v
1
answer
The length of the latus rectum of the ellipse $3x^2+y^2=12$ is
cbse
class11
math
conic-sections
ellipse
exemplar
sec-a
easy
q55
answered
Oct 16, 2014
by
sreemathi.v
1
answer
The equation of the ellipse whose focus is $(1,-1)$,the directrix the line $x-y-3=0$ and eccentricity $\large\frac{1}{2}$ is
cbse
class11
math
conic-sections
ellipse
exemplar
sec-a
medium
q54
answered
Oct 16, 2014
by
sreemathi.v
1
answer
If the vertex of the parabola is the point $(-3,0)$ and the directrix is the line $x+5=0$,then its equation is
cbse
class11
math
conic-sections
parabola
exemplar
sec-a
easy
q53
answered
Oct 16, 2014
by
sreemathi.v
1
answer
If the parabola $y^2=4ax$ passes through the point $(3,2)$,then the length of its latus rectum is
cbse
class11
math
conic-sections
parabola
exemplar
sec-a
easy
q52
answered
Oct 16, 2014
by
sreemathi.v
1
answer
If the focus of a parabola is $(0,-3)$ and its directrix is $y=3$,then its equation is
cbse
class11
math
conic-sections
parabola
exemplar
sec-a
easy
q51
answered
Oct 16, 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
answered
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
answered
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
answered
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
answered
Oct 16, 2014
by
sreemathi.v
1
answer
The equation of the hyperbola with vertices at $(0,\pm 6)$ and eccentricity $\large\frac{5}{3}$ is _________ and its foci are ___________
cbse
class11
math
conic-sections
hyperbola
exemplar
sec-a
medium
q46
answered
Oct 16, 2014
by
sreemathi.v
1
answer
The equation of the parabola having focus at $(-1,-2)$ and the directrix $x-2y+3=0$ is _________
cbse
class11
math
conic-sections
parabola
exemplar
sec-a
medium
q45
answered
Oct 16, 2014
by
sreemathi.v
1
answer
The equation of the ellipse having foci $(0,1),(0,-1)$ and minor axis of length $\sqrt 5$ is ____________
cbse
class11
math
conic-sections
ellipse
exemplar
sec-a
medium
q44
answered
Oct 16, 2014
by
sreemathi.v
1
answer
An ellipse is described by using an endless string which is passed over two pins.If the axes are 6 cm and 4 cm,the length of the string and distance between the pins are ____________
cbse
class11
math
conic-sections
ellipse
exemplar
sec-a
medium
q43
answered
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
answered
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
answered
Oct 15, 2014
by
sreemathi.v
1
answer
State whether the following statement is True or False : The locus of the point of intersection of lines $\sqrt 3x-y-4\sqrt 3k=0$ and $\sqrt 3kx+ky-4\sqrt 3=0$ for different value of $k$ is a hyperbola whose eccentricity is 2.
cbse
class11
math
conic-sections
hyperbola
exemplar
sec-a
medium
q40
answered
Oct 15, 2014
by
sreemathi.v
1
answer
State whether the following statement is True or False : The line $2x+3y=12$ touches the ellipse $\large\frac{x^2}{9}+\frac{y^2}{4}$$=2$ at the point $(3,2)$
cbse
class11
math
conic-sections
ellipse
exemplar
sec-a
medium
q39
answered
Oct 15, 2014
by
sreemathi.v
1
answer
State whether the following statement is True or False : If $P$ is a point the ellipse $\large\frac{x^2}{16}+\frac{y^2}{25}$$=1$ whose foci are $S$ and $S'$,then $PS+PS'=8$.
cbse
class11
math
conic-sections
ellipse
exemplar
sec-a
easy
q38
answered
Oct 15, 2014
by
sreemathi.v
1
answer
State whether the following statement is True or False : The line $lx+my+n=0$ will touch the parabola $y^2=4ax$ if $ln=am^2$
cbse
class11
math
conic-sections
parabola
exemplar
sec-a
medium
q37
answered
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
answered
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
answered
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
answered
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
answered
Oct 15, 2014
by
sreemathi.v
1
answer
Find the equation of the hyperbola with foci $(0,\pm\sqrt{10})$,passing through $(2,3)$.
cbse
class11
math
conic-sections
hyperbola
exemplar
sec-b
medium
q32-c
answered
Oct 15, 2014
by
sreemathi.v
1
answer
Find the equation of the hyperbola with vertices $(0,\pm 7),e=\large\frac{4}{3}$.
cbse
class11
math
conic-sections
hyperbola
exemplar
sec-b
easy
q32-b
answered
Oct 15, 2014
by
sreemathi.v
1
answer
Find the equation of the hyperbola with vertices $(\pm 5,0)$,foci $(\pm 7,0)$.
cbse
class11
math
conic-sections
hyperbola
exemplar
sec-b
easy
q32-a
answered
Oct 15, 2014
by
sreemathi.v
1
answer
Show that the set of all points such that the difference of their distances from $(4, 0)$ and $(-4, 0)$ is always equal to $2$ represent a hyperbola.
cbse
class11
math
conic-sections
hyperbola
exemplar
sec-b
medium
q31
answered
Oct 14, 2014
by
sreemathi.v
1
answer
Find the equation of the set of all points whose distance from $(0, 4)$ are $\large\frac{2}{3}$ of their distance from the line $y = 9$.
cbse
class11
math
conic-sections
exemplar
sec-b
easy
q30
answered
Oct 14, 2014
by
sreemathi.v
1
answer
Find the equation of the set of all points the sum of whose distances from the points $(3, 0)$ and $(9, 0)$ is 12.
cbse
class11
math
conic-sections
exemplar
sec-b
medium
q29
answered
Oct 14, 2014
by
sreemathi.v
1
answer
Find the equation of the following parabola : Focus at $(-1,-2)$,directrix $x-2y+3=0$.
cbse
class11
math
conic-sections
parabola
exemplar
sec-b
easy
q28-c
answered
Oct 14, 2014
by
sreemathi.v
1
answer
Find the equation of the following parabola : Vertex at $(0,4)$,focus at $(0,2)$.
cbse
class11
math
conic-sections
parabola
exemplar
sec-b
easy
q28-b
answered
Oct 14, 2014
by
sreemathi.v
1
answer
Find the equation of the following parabola : Directrix $x=0$,focus at $(6,0)$.
cbse
class11
math
conic-sections
parabola
exemplar
sec-b
easy
q28-a
answered
Oct 14, 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
answered
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
answered
Oct 14, 2014
by
sreemathi.v
1
answer
if z1=4+7i, z2=1-i for what value of lamda is z1+lamdaz2, a purely real number
answered
Oct 13, 2014
by
pady_1
1
answer
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