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Recent questions in CBSE XI
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CBSE XI
CBSE XI
Math
Physics
Chemistry
Biology
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
The sum of some terms of a G.P. is $315$ whose first term and the common ratio are $5$ and $2$ respectively. Find the last term and number of terms of the series.
cbse
class11
ch9
bookproblem
misc
sec-b
easy
q8
math
sequences-and-series
asked
Mar 30, 2014
by
rvidyagovindarajan_1
1
answer
If $f$ is a function satisfying $f(x+y)=f(x).f(y)\:\:\forall x,y\in N$ such that $f(1)=3\:\:and\:\:\displaystyle\sum ^{n}_{x=1} f(x)=120$, then find the value of $n$.
cbse
class11
ch9
bookproblem
misc
sec-b
medium
q7
math
sequences-and-series
asked
Mar 29, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of all two digit numbers which when divided by $4$ yields $1$ as remainder.
cbse
class11
ch9
bookproblem
misc
sec-b
easy
q6
math
sequences-and-series
asked
Mar 29, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of all the integers from $1$ and $100$ that are divisible by $2$ or $5$.
cbse
class11
ch9
bookproblem
misc
medium
sec-b
q5
math
sequences-and-series
asked
Mar 29, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of all the numbers between $200$ and $400$ which are divisible by $7$.
cbse
class11
ch9
bookproblem
misc
medium
sec-b
q4
math
sequences-and-series
asked
Mar 28, 2014
by
rvidyagovindarajan_1
1
answer
If the sum of $n,2n\:and\:3n$ terms of an A.P. are $S_1,S_2\:and\:S_3$ respectively, then show that $S_3=3(S_2-S_1)$
cbse
class11
ch9
bookproblem
misc
medium
sec-b
q3
math
sequences-and-series
asked
Mar 28, 2014
by
rvidyagovindarajan_1
1
answer
If the sum of three numbers in A.P. is $24$ and their product is $440$, then find the numbers.
cbse
class11
ch9
bookproblem
misc
easy
sec-b
q2
math
sequences-and-series
asked
Mar 28, 2014
by
rvidyagovindarajan_1
1
answer
Show that the sum of $(m+n)^{th}$ and $(m-n)^{th}$ terms of an A.P is twice its $m^{th}$ term.
cbse
class11
ch9
misc
bookproblem
sec-a
easy
q1
math
sequences-and-series
asked
Mar 27, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of $n$ terms of the series whose $n^{th}$ term is $(2n-1)^2$
cbse
class11
ch9
bookproblem
exercise9-4
sec-b
easy
q10
math
sequences-and-series
asked
Mar 27, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of $n$ terms of the series whose $n^{th}$ term is given by $n^2+2^n$.
cbse
class11
ch9
bookproblem
exercise9-4
medium
sec-b
q9
math
sequences-and-series
asked
Mar 24, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of $n$ terms of the series whose $n^{th}$ term is given by $n(n+1)(n+4)$
cbse
class11
ch9
bookproblem
exercise9-4
easy
sec-b
q8
math
sequences-and-series
asked
Mar 24, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum to $n$ terms of the series $1^2+(1^2+2^2)+(1^2+2^2+3^2)+........$
cbse
class11
ch9
bookproblem
exercise9-4
medium
sec-c
q7
math
sequences-and-series
asked
Mar 24, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of $n$ terms of the series $(3\times 8)+(6\times 11)+(9\times 14).............$
cbse
class11
ch9
bookproblem
exercise9-4
sec-c
medium
q6
math
sequences-and-series
asked
Mar 13, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of 20 terms of the series. $5^2+6^2+7^2+.....20^2$
cbse
class11
ch9
math
exercise9-3
sec-b
easy
q5
sequences-and-series
asked
Mar 12, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum to $n$ terms of the series $\large\frac{1}{1\times 2}+\frac{1}{2\times 3}+\frac{1}{3\times 4}+..........$
cbse
class11
ch9
bookproblem
difficult
exercise9-4
sec-c
q4
math
sequences-and-series
asked
Mar 10, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of $n$ terms of the series $3\times 1^2+5\times 2^2+7\times 3^2+.........$
cbse
class11
ch9
bookproblem
exercise9-4
sec-c
medium
q3
math
sequences-and-series
asked
Mar 7, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of $n$ terms of the series $(1\times 2\times 3)+(2\times 3\times 4)+(3\times 4\times 5)+.......$
cbse
class11
ch9
bookproblem
exercise9-4
medium
sec-c
q2
math
sequences-and-series
asked
Mar 7, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of $n$ terms of the series $1\times 2+2\times 3+3\times 4+4\times 5+.............$
cbse
class11
ch9
bookproblem
exercise9-4
sec-b
medium
q1
math
sequences-and-series
asked
Mar 7, 2014
by
rvidyagovindarajan_1
1
answer
If A.M. and G.M. of roots of a quadratic equation are $8$ and $5$ respectively. Find the quadratic equation.
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q32
math
sequences-and-series
asked
Mar 7, 2014
by
rvidyagovindarajan_1
1
answer
What will Rs. 500 amounts to in $10$ years after its deposit in a bank which pays annual interest of $10%$ compounded annually?
cbse
class11
ch9
bookproblem
exercise9-3
sec-b
easy
q31
math
sequences-and-series
asked
Mar 6, 2014
by
rvidyagovindarajan_1
1
answer
The number of bacteria in certain culture doubles every hour. If there were $30$ bacteria present in the culture originally, how many bacteria will be present at the end of $2^{nd}$ hour, $4^{th}$ hour and $n^{th}$ hour?
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q30
math
sequences-and-series
asked
Mar 6, 2014
by
rvidyagovindarajan_1
1
answer
$ the A.M. and $G$ the G.M. between two positive numbers then show that the numbers are $A\pm \sqrt {(A+G)(A-G)}$
cbse
class11
ch9
bookproblem
exercise9-3
sec-c
difficult
q29
math
sequences-and-series
asked
Mar 6, 2014
by
rvidyagovindarajan_1
1
answer
The sum of two numbers is $6$ times their geometric mean.Show that the ratio of the numbers is $3+2\sqrt 2\::\:3-2\sqrt 2$
cbse
class11
ch9
bookproblem
exercise9-3
difficult
sec-c
q28
math
sequences-and-series
asked
Mar 5, 2014
by
rvidyagovindarajan_1
1
answer
Find the value of $n$ so that $\large\frac{a^{n+1}+b^{n+1}}{a^n+b^n}$ may be the geometric mean between $a$ and $b$.
cbse
class11
ch9
bookproblem
exercise9-3
difficult
sec-c
q27
math
sequences-and-series
asked
Mar 4, 2014
by
rvidyagovindarajan_1
1
answer
Insert $2$ numbers between $3$ and $81$ so that the resulting sequence is a G.P. Find the two numbers.
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q26
math
sequences-and-series
asked
Mar 3, 2014
by
rvidyagovindarajan_1
1
answer
Insert $2$ numbers between $3$ and $81$ so that the resulting sequence is a G.P. Find the two numbers.
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q26
math
sequences-and-series
asked
Mar 3, 2014
by
rvidyagovindarajan_1
1
answer
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