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Class11

Sets

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Complex Numbers and Quadratic Equations

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Bionomial Theorem and Simple Applications

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Coordinate Geometry: Straight Lines

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The line $\overrightarrow r=\hat i+2\hat j-\hat k+\lambda(2\hat i-\hat k)$ is $\perp$ to which axis?

asked Dec 18, 2013 by rvidyagovindarajan_1

1 answer

The angle between the line $\overrightarrow r=(2\hat i-\hat j+3\hat k)+\lambda(3\hat i-\hat j+2\hat k)\:\:and\:\:the\:\:plane\:\:\overrightarrow r.(\hat i+\hat j+\hat k)=3$ is ?

asked Dec 18, 2013 by rvidyagovindarajan_1

1 answer

The distance between the parallel planes $2x+3y+4z=5\:\:and\:\:4x+6y+8z=12$ is ?

asked Dec 17, 2013 by rvidyagovindarajan_1

1 answer

The term independent of $x$ in the expansion $\bigg(\large\frac{x+1}{x^{\large\frac{2}{3}}-x^{\large\frac{1}{3}}+1}-\frac{x-1}{x-\sqrt x}\bigg)^{10}$ is ?

asked Dec 1, 2013 by rvidyagovindarajan_1

1 answer

In a GP, given that the first term is $312 ½$ and the common ratio is $1/2$ find the sum of the terms of the series to infinity.

asked Nov 28, 2013 by harini.tutor

1 answer

If in the expansion of $(x+a)^{15},$ the $11^{th}$ term is $G.M.$ of $8^{th}$ & $12^{th}$ terms, then which term is the greatest term?

asked Nov 24, 2013 by rvidyagovindarajan_1

1 answer

If the sum of $5^{th}\:and\:6^{th}$ terms in the expansion of $(a-b)^n$ , $n\geq5$ , is 0, then $\large\frac{a}{b}$ = ?

asked Nov 24, 2013 by rvidyagovindarajan_1

1 answer

If the sum of the coefficients of $(1+x)^n=4096$ , then the largest coefficient is ?

asked Nov 24, 2013 by rvidyagovindarajan_1

1 answer

The value of $^nC_0.^{2n}C_r$ - $^nC_1^{2-2}C_r$ + $^nC_2.^{2n-4}C_r$ - ...., if $r \lt n$ is

asked Nov 24, 2013 by rvidyagovindarajan_1

1 answer

Coeff. of $x^{50}$ in $(1+x)^{1000}$ + $x(1+x)^{999}$ + $x^2(1+x)^{998}$ + .... + $x^{1000}$ is

asked Nov 23, 2013 by rvidyagovindarajan_1

1 answer

In how many ways can a mixed doubles game in tennis can be arranged from 5 couples, if no husband and wife play in the same game?

asked Nov 23, 2013 by rvidyagovindarajan_1

1 answer

$53^{53} - 33^{33}$ is divisible by

asked Nov 22, 2013 by rvidyagovindarajan_1

1 answer

Find the sum of the GP $1, 2, 4, 8, 16, 64 ....$ upto n terms

asked Nov 19, 2013 by harini.tutor

1 answer

Find the sum of even numbers between 50 and 100

asked Nov 19, 2013 by harini.tutor

1 answer

What is the sum of all odd natural numbers till 200 ?

asked Nov 19, 2013 by harini.tutor

1 answer

Find the 10th term of the AP -3, -1, 1, 3, ....

asked Nov 19, 2013 by harini.tutor

1 answer

Find the sum of the following series : $1^{2} + 2^{2} + 3^{2} + 4^{2} + .... + 20^{2}$

asked Nov 19, 2013 by harini.tutor

1 answer

A student is allowed to select at the most n books from a collection of $2n+1$ books. The no. of ways in which he can select at least one book is 63, then $n$ = ?

asked Oct 28, 2013 by rvidyagovindarajan_1

1 answer

$^nC_0.^nC_1$ + $^nC_1.^nC_2$ + $....^nC_{n-1}.^nC_n$ = ?

asked Oct 27, 2013 by rvidyagovindarajan_1

1 answer

If the $4^{th}$ term in the expansion of $\big(x^2-\large\frac{1}{x^3}\big)^n$ is independent of $x$ , then $n=?$

asked Oct 26, 2013 by rvidyagovindarajan_1

1 answer

The remainder when $5^{99}$ is divided by $13$ is

asked Oct 26, 2013 by rvidyagovindarajan_1

1 answer

$\large\frac{^8C_0}{6}$ - $^8C_1$ + $^8C_2.6$ + $....$ + $^8C_8.6^7$ = ?

asked Oct 26, 2013 by rvidyagovindarajan_1

1 answer

If $(1+\sqrt 2)^n=x_n+y_n\sqrt 2$ , where $x_n,y_n$ are integers, then

asked Oct 23, 2013 by rvidyagovindarajan_1

1 answer