Recent questions in CBSE XI

Find the equation of the circle passing through the point $(0,0)$ and making intercepts $a$ and $b$ on the coordinate axis.

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.

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 $x-3y-11=0$

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 $4x+y=16$

asked Apr 1, 2014 by balaji.thirumalai

1 answer

Find the centre and radius of the circle $2x^2+2y^2-x = 0$

asked Apr 1, 2014 by balaji.thirumalai

1 answer

Find the centre and radius of the circle $x^2+y^2-8x+10y-12 = 0$

asked Apr 1, 2014 by balaji.thirumalai

1 answer

Find the centre and radius of the circle $x^2+y^2-4x-9y-45=0$

asked Apr 1, 2014 by balaji.thirumalai

1 answer

Find the centre and radius of the circle $(x+5)^2 + (y-3)^2 = 36$

asked Apr 1, 2014 by balaji.thirumalai

1 answer

Find the equation of the circle with centre $(-a,-b)$ and radius $\sqrt {a^2-b^2}$

asked Apr 1, 2014 by balaji.thirumalai

1 answer

Find the equation of the circle with centre $(1,1)$ and radius $\sqrt 2$

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 $\large\frac{1}{12}$

asked Apr 1, 2014 by balaji.thirumalai

1 answer

Find the equation of the circle with centre $(-2,3)$ and radius $4$ .

asked Apr 1, 2014 by balaji.thirumalai

1 answer

Find the equation of the circle with centre $(0,2)$ and radius $2$ .

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 $a:b=(m+\sqrt {m^2-n^2}):(m-\sqrt {m^2-n^2})$

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 $(q+p):(q-p)=17:15$

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.

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.

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 $(q-r)a+(r-p)b+(p-q)c=0$

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 $P^2R^n=S^n$

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.

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.

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.

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.

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.

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.

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 $n$ .

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.

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 $5$ .

asked Mar 29, 2014 by rvidyagovindarajan_1

1 answer

Find the sum of all the numbers between $200$ and $400$ which are divisible by $7$ .

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 $S_3=3(S_2-S_1)$

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.

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.

asked Mar 27, 2014 by rvidyagovindarajan_1

1 answer

Find the sum of $n$ terms of the series whose $n^{th}$ term is $(2n-1)^2$

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 $n^2+2^n$ .

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 $n(n+1)(n+4)$

asked Mar 24, 2014 by rvidyagovindarajan_1

1 answer

Find the sum to $n$ terms of the series $1^2+(1^2+2^2)+(1^2+2^2+3^2)+........$

asked Mar 24, 2014 by rvidyagovindarajan_1

1 answer

Find the sum of $n$ terms of the series $(3\times 8)+(6\times 11)+(9\times 14).............$

asked Mar 13, 2014 by rvidyagovindarajan_1

1 answer

Find the sum of 20 terms of the series. $5^2+6^2+7^2+.....20^2$

asked Mar 12, 2014 by rvidyagovindarajan_1

1 answer

Find the sum to $n$ terms of the series $\large\frac{1}{1\times 2}+\frac{1}{2\times 3}+\frac{1}{3\times 4}+..........$

asked Mar 10, 2014 by rvidyagovindarajan_1

1 answer

Find the sum of $n$ terms of the series $3\times 1^2+5\times 2^2+7\times 3^2+.........$

asked Mar 7, 2014 by rvidyagovindarajan_1

1 answer

Find the sum of $n$ terms of the series $(1\times 2\times 3)+(2\times 3\times 4)+(3\times 4\times 5)+.......$

asked Mar 7, 2014 by rvidyagovindarajan_1

1 answer

Find the sum of $n$ terms of the series $1\times 2+2\times 3+3\times 4+4\times 5+.............$

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.

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?

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?

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)}$

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 $3+2\sqrt 2\::\:3-2\sqrt 2$

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 $b$ .

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.

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.

asked Mar 3, 2014 by rvidyagovindarajan_1

1 answer

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