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CBSE XI
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Math
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Principle of Mathematical Induction
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If $S_1,S_2,S_3$ are the sum of $n$ natural numbers,sum of their squares and sum of their cubes respectively then Show that $9S_2^2=S_3(1+8S_1)$
cbse
class11
ch9
bookproblem
misc
sec-a
medium
q24
math
sequences-and-series
asked
Apr 2, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of $n$ terms of the series $0.6+0.66+0.666+......$
cbse
class11
ch9
bookproblem
misc
medium
sec-b
q21-2
math
sequences-and-series
asked
Apr 2, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of the series $5+55+555+..........$ upto $n$ terms.
cbse
class11
ch9
bookproblem
misc
medium
sec-b
q21-1
math
sequences-and-series
asked
Apr 2, 2014
by
rvidyagovindarajan_1
1
answer
If $a,b,c$ are in A.P., $b,c,d$ are in G.P. and $\large\frac{1}{c},\frac{1}{d},\frac{1}{e}$ are in A.P., then prove that $a,c,e$ are in G.P.$
cbse
class11
ch9
bookproblem
misc
sec-b
medium
q20
math
sequences-and-series
asked
Apr 2, 2014
by
rvidyagovindarajan_1
1
answer
Find the coordinates of the foci, the vertices, the length of the major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse $\large\frac{x^2}{100}$$+\large\frac{y^2}{400}$$=1$
cl35310
cl35306
cl35304
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q6
easy
sec-b
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the coordinates of the foci, the vertices, the length of the major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse $\large\frac{x^2}{49}$$+\large\frac{y^2}{36 }$$=1$
cl35308
cl35304
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q5
easy
sec-b
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the coordinates of the foci, the vertices, the length of the major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse $\large\frac{x^2}{25}$$+\large\frac{y^2}{100}$$=1$
cl35306
cl35304
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q4
easy
sec-b
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the coordinates of the foci, the vertices, the length of the major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse $\large\frac{x^2}{16}$$+\large\frac{y^2}{9 }$$=1$
cl35304
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q3
easy
sec-b
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the coordinates of the foci, the vertices, the length of the major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse $\large\frac{x^2}{4}$$+\large\frac{y^2}{25}$$=1$
cl35304
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q2
easy
sec-b
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the coordinates of the foci, the vertices, the length of the major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse $\large\frac{x^2}{36}$$+\large\frac{y^2}{16}$$=1$
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q1
easy
sec-b
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the equation of a parabola that satisfies the following condition - vertex $(0,0)$ and passing through $(5,2)$ and symmetric with respect to y-axis.
cl35296
cl35288
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
math
q12
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the equation of a parabola that satisfies the following condition - Vertex $(0,0)$ and passing through $(2,3)$ and axis is x-axis.
cl35288
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
math
q11
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the equation of the parabola that satisfies the given conditions: Vertex $(0,0)$ and Focus $(-2,0)$
cl35292
cl35290
cl35288
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
math
q10
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the equation of the parabola that satisfies the given conditions: Vertex $(0,0)$ and Focus $(3,0)$
cl35290
cl35288
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
math
q9
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the equation of the parabola that satisfies the given conditions: Focus $(0,-3)$ and Directrix $y=3$
cl35288
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
math
q8
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the equation of the parabola that satisfies the given conditions: Focus $(6,0)$ and Directrix $x=-6$
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
math
q7
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the co-ordinates of the focus, axis of the parabola, equations of the directrix and length of latus rectum of the parabola $x^2=-9y$
cl35282
cl35280
cl35278
cl35276
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
q6
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the co-ordinates of the focus, axis of the parabola, equations of the directrix and length of latus rectum of the parabola $y^2 = 10x$
cl35282
cl35280
cl35278
cl35276
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
q5
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the co-ordinates of the focus, axis of the parabola, equations of the directrix and length of latus rectum of the parabola $x^2=-16y$
cl35280
cl35278
cl35276
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
q4
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the co-ordinates of the focus, axis of the parabola, equations of the directrix and length of latus rectum of the parabola $y^2=-8x$
cl35278
cl35276
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
q3
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the co-ordinates of the focus, axis of the parabola, equations of the directrix and length of latus rectum of the parabola $x^2=6y$
cl35276
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
q2
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the co-ordinates of the focus, axis of the parabola, equations of the directrix and length of latus rectum of the parabola $x^2=6y$
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
q2
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the co-ordinates of the focus, axis of the parabola, equations of the directrix and length of latus rectum of the parabola $y^2=12x$.
cl35271
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
q1
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the co-ordinates of the focus, axis of the parabola, equations of the directrix and length of latus rectum of the parabola $y^2=12x$.
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
q1
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Does the point $(-2.5,3.5)$ lie inside, outside or on the circle $x^2+y^2=25$?
cl35263
cl35253
cl35245
cl35239
cl35230
cbse
class11
ch11
exercise11-1
circle
conic-sections
easy
sec-a
q15
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the equation of the circle with centre $(2,2)$ and passing through the point $(4,5)$
cl35253
cl35245
cl35239
cl35230
cbse
class11
ch11
exercise11-1
circle
conic-sections
easy
sec-a
q14
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the equation of the circle passing through the point $(0,0)$ and making intercepts $a$ and $b$ on the coordinate axis.
cl35245
cl35239
cl35230
cbse
class11
ch11
exercise11-1
circle
conic-sections
easy
sec-a
q13
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the equation of the circle passing through the point $(2,3)$ with radius $5$ whose centre lies on the x-axis.
cl35239
cl35230
cbse
class11
ch11
exercise11-1
circle
conic-sections
easy
sec-a
q12
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the equation of the circle passing through the points $(2,3)$ and $(-1,1)$ and whose centre is on the line $x-3y-11=0$
cl35230
cbse
class11
ch11
exercise11-1
circle
conic-sections
easy
sec-a
q11
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the equation of the circle passing through the points $(4,1)$ and $(6,5)$ and whose centre is on the line $4x+y=16$
cbse
class11
ch11
exercise11-1
circle
conic-sections
easy
sec-a
q10
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the centre and radius of the circle $2x^2+2y^2-x = 0$
cl35220
cl35216
cl35212
cl35190
cbse
class11
ch11
exercise11-1
circle
conic-sections
q9
easy
sec-a
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the centre and radius of the circle $x^2+y^2-8x+10y-12 = 0$
cl35216
cl35212
cl35190
cbse
class11
ch11
exercise11-1
circle
conic-sections
q8
easy
sec-a
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the centre and radius of the circle $x^2+y^2-4x-9y-45=0$
cl35212
cl35190
cbse
class11
ch11
exercise11-1
circle
conic-sections
q7
easy
sec-a
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the centre and radius of the circle $(x+5)^2 + (y-3)^2 = 36$
cl35190
cbse
class11
ch11
exercise11-1
circle
conic-sections
q6
easy
sec-a
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the equation of the circle with centre $(-a,-b)$ and radius $\sqrt {a^2-b^2}$
cl35205
cl35201
cl35192
cl35190
cbse
class11
ch11
exercise11-1
circle
conic-sections
q5
easy
sec-a
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the equation of the circle with centre $(1,1)$ and radius $\sqrt 2$
cl35201
cl35192
cl35190
cbse
class11
ch11
exercise11-1
circle
conic-sections
q4
easy
sec-a
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the equation of the circle with centre ($\large\frac{1}{2}$, $\large\frac{1}{4}$) and radius $\large\frac{1}{12}$
cl35192
cl35190
cbse
class11
ch11
exercise11-1
circle
conic-sections
q3
easy
sec-a
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the equation of the circle with centre $(-2,3)$ and radius $4$.
cl35190
cbse
class11
ch11
exercise11-1
circle
conic-sections
q2
easy
sec-a
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the equation of the circle with centre $(0,2)$ and radius $2$.
cbse
class11
ch11
exercise11-1
circle
conic-sections
q1
easy
sec-a
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
The ratio of A.M. and G.M. of two positive numbers $a$ and $b$ is $m:n$. Show that $a:b=(m+\sqrt {m^2-n^2}):(m-\sqrt {m^2-n^2})$
cbse
class11
ch9
bookproblem
misc
difficult
sec-c
q19
math
sequences-and-series
asked
Mar 31, 2014
by
rvidyagovindarajan_1
1
answer
If $a$ and $b$ are roots of $x^2-3x+p=0$ and $c$ and $d$ are roots of $x^2-12x+q=0$, where $a,b,c,d$ form a G.P. then prove that $(q+p):(q-p)=17:15$
cbse
class11
ch9
bookproblem
misc
difficult
sec-c
q18
math
sequences-and-series
asked
Mar 31, 2014
by
rvidyagovindarajan_1
1
answer
If $a,b,c,d$ are in G.P. then show that $(a^n+b^n),(b^n+c^n),(c^n+d^n)$ are in G.P.
cbse
class11
ch9
bookproblem
sec-b
difficult
misc
q17
math
sequences-and-series
asked
Mar 31, 2014
by
rvidyagovindarajan_1
1
answer
If $a\bigg(\large\frac{1}{b}+\frac{1}{c}\bigg)$$,\:b\bigg(\large\frac{1}{c}+\frac{1}{a}\bigg)$$,\:c\bigg(\large\frac{1}{a}+\frac{1}{b}\bigg)$ are in A.P., then prove that $a,b,c$ are in A.P.
cbse
class11
ch9
bookproblem
misc
difficult
sec-b
q16
math
sequences-and-series
asked
Mar 31, 2014
by
rvidyagovindarajan_1
1
answer
If $p^{th},\:q^{th}\:\:and\:\:r^{th}$ terms oa an A.P. are $a,\:b\:and\:c$ respectively, then show that $(q-r)a+(r-p)b+(p-q)c=0$
cbse
class11
ch9
misc
bookproblem
medium
sec-b
q15
math
sequences-and-series
asked
Mar 31, 2014
by
rvidyagovindarajan_1
1
answer
Let $S$ be the sum, $P$ the product and $R$ the sum of reciprocals of $n$ terms of a G.P. Prove that $P^2R^n=S^n$
cbse
class11
ch9
bookproblem
misc
difficult
sec-c
q14
math
sequences-and-series
asked
Mar 31, 2014
by
rvidyagovindarajan_1
1
answer
If $\large\frac{a+bx}{a-bx}=\frac{b+cx}{b-cx}=\frac{c+dx}{c-dx}$$\:(x\neq0)$, then show that $a,b,c\:and\:d$ are in G.P.
cbse
class11
ch9
bookproblem
misc
difficult
sec-b
q13
math
sequences-and-series
asked
Mar 30, 2014
by
rvidyagovindarajan_1
1
answer
The sum of first four terms of an A.P. is $56$. The sum of last four terms is $112$. If its first term is $11$ then find the number of terms.
cbse
class11
ch9
bookproblem
misc
sec-b
medium
q12
math
sequences-and-series
asked
Mar 30, 2014
by
rvidyagovindarajan_1
1
answer
A G.P. consists of even number of terms. If the sum of all the numbers is $5$ times the sum of terms occupying the odd places, then find the common ratio.
cbse
class11
ch9
bookproblem
misc
sec-b
difficult
q11
math
sequences-and-series
asked
Mar 30, 2014
by
rvidyagovindarajan_1
1
answer
The sum of three numbers in G.P. is $56$. If we subtract $1,7,21$ from the numbers in that order, we obtain an A.P. Find the numbers.
cbse
class11
ch9
bookproblem
sec-b
medium
misc
q10
math
sequences-and-series
asked
Mar 30, 2014
by
rvidyagovindarajan_1
1
answer
The first term of a G.P. is $1$. The sum of third term and fifth term is $90$. Find the common ratio of the G.P.
cbse
class11
ch9
bookproblem
misc
sec-b
easy
q9
math
sequences-and-series
asked
Mar 30, 2014
by
rvidyagovindarajan_1
1
answer
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