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Recent questions tagged bookproblem

How many 4-letter code words are possible using the first 10 letters of the english alphabet,if no letter can be repeated?

asked May 13, 2014 by sreemathi.v

1 answer

How many 3-digit even numbers can be formed from the digits 1,2,3,4,5,6 if the digits can be repeated?

asked May 13, 2014 by sreemathi.v

1 answer

How many 3-digit numbers can be formed from the digits 1,2,3,4 and 5 assuming repetition of digits is not allowed

asked May 13, 2014 by sreemathi.v

1 answer

How many 3-digit numbers can be formed from the digits 1,2,3,4 and 5 assuming repetition of digits is allowed

asked May 13, 2014 by sreemathi.v

1 answer

The line through the points $(h,3)$ and $(4,1)$ intersects the line $7x-9y-19=0$ at right angle. Find the value of $h$.

asked May 10, 2014 by thanvigandhi_1

1 answer

Find angles between the lines $ \sqrt 3x+y=1$ and $x+\sqrt 3y=1$.

asked May 10, 2014 by thanvigandhi_1

1 answer

Find equation of the line perpendicular to the line $x-7y+5=0$ and having $x$ intercept 3.

asked May 10, 2014 by thanvigandhi_1

1 answer

Find the equation of the line parallel to the line $3x-4y+2=0$ and passing through the point $(-2, 3)$

asked May 10, 2014 by thanvigandhi_1

1 answer

Find the distance between parallel lines $ l(x+y)+p=0$ and $l(x+y)-r=0$.

asked May 9, 2014 by thanvigandhi_1

1 answer

Find the distance between parallel lines \[\] $15x+8y-34=0$ and $ 15x+8y+31=0$

asked May 9, 2014 by thanvigandhi_1

1 answer

Find the points on the $x$ axis, whose distance from the line $\large\frac{x}{3}$$+\large\frac{y}{4}$$=1$ are 4 units.

asked May 9, 2014 by thanvigandhi_1

1 answer

Find the distance of the point (-1, 1) from the line $12(x+6)=5(y-2)$.

asked May 9, 2014 by thanvigandhi_1

1 answer

Find the coordinates of the points which trisect the segment joining the points $P(4,2,-6)$ and $ Q(10,-16,6)$

asked May 8, 2014 by rvidyagovindarajan_1

1 answer

Using the section formula show that the points $A(2,-3,4),\:B(-1,2,1),\: C(0,\large\frac{1}{3}$$,2)$ are collinear.

asked May 8, 2014 by rvidyagovindarajan_1

1 answer

Reduce the following equation into normal form. Find their perpendicular distances from the origin and angle between perpendicular and the positive $x$ - axis. $ x-y=4$

asked May 7, 2014 by thanvigandhi_1

1 answer

Reduce the following equation into normal form. Find their perpendicular distances from the origin and angle between perpendicular and the positive $x$ - axis. $ y-2=0$

asked May 7, 2014 by thanvigandhi_1

1 answer

Reduce the following equation into normal form. Find their perpendicular distances from the origin and angle between perpendicular and the positive $x$ - axis. $ x-\sqrt 3 y +8=0$

asked May 7, 2014 by thanvigandhi_1

1 answer

Reduce the following equation into intercept form and find their intercepts on the axes $3y+2=0$

asked May 7, 2014 by thanvigandhi_1

1 answer

Reduce the following equation into intercept form and find their intercepts on the axes $4x-3y=6$

asked May 7, 2014 by thanvigandhi_1

1 answer

Reduce the following equation into intercept form and find their intercepts on the axes $3x+2y-12=0$

asked May 7, 2014 by thanvigandhi_1

1 answer

Reduce the following equation into slope - intercept form and find their slopes and the $y$ - intercepts. $y=0$

asked May 7, 2014 by thanvigandhi_1

1 answer

Reduce the following equation into slope - intercept form and find their slopes and the $y$ - intercepts. $6x+3y-5=0$

asked May 7, 2014 by thanvigandhi_1

1 answer

Reduce the following equation into slope - intercept form and find their slopes and the $y$ - intercepts. $x+7y=0$

asked May 7, 2014 by thanvigandhi_1

1 answer

Prove the rule of exponents $(ab)^n=a^nb^n$ by using principle of mathematical induction for every natural number.

asked May 5, 2014 by thanvigandhi_1

1 answer

Prove that \[\] $ 1^2+2^2+...+n^2 > \large\frac{n^3}{3}$$, n \in N$

asked May 5, 2014 by thanvigandhi_1

1 answer

Prove that \[\] $2.7^n+3.5^n-5$ is divisible by 24, for all $n \in N$.

asked May 3, 2014 by thanvigandhi_1

1 answer

Prove that $ (1+x)^n \geq (1+nx)$, for all natural number $n$, where $x > -1$.

asked May 3, 2014 by thanvigandhi_1

1 answer

For every positive integer $n$, prove that $7^n-3^n$ is divisible by 4.

asked May 3, 2014 by thanvigandhi_1

1 answer

For all $ n \geq 1$, prove that \[\] $ \large\frac{1}{1.2}$$+\large\frac{1}{2.3}$$+\large\frac{1}{3.4}$$+...+\large\frac{1}{n(n+1)}$$=\large\frac{n}{(n+1)}$.

asked May 2, 2014 by thanvigandhi_1

1 answer

Prove that $2^n > n$ for all positive integers $n$.

asked May 2, 2014 by thanvigandhi_1

1 answer

For all $n \geq 1$, prove that \[\] $ 1^2+2^2+3^2+4^4+...+n^2=\large\frac{n(n+1)(2n+1)}{6}$.

asked May 2, 2014 by thanvigandhi_1

1 answer

Prove the following by using the principle of mathematical induction for all $n \in N$ \[\] $ (2n+7) < (n+3)^2$

asked May 1, 2014 by thanvigandhi_1

1 answer

Prove the following by using the principle of mathematical induction for all $n \in N$ \[\] $ 41^n-14^n$ is a multiple of 27.

asked May 1, 2014 by thanvigandhi_1

1 answer

Prove the following by using the principle of mathematical induction for all $n \in N$ \[\] $ 3^{2n+2}-8n-9$ is divisible by 8.

asked May 1, 2014 by thanvigandhi_1

1 answer

Prove the following by using the principle of mathematical induction for all $n \in N$ \[\] $ x^{2n}-y^{2n}$ is divisible by $x+y$.

asked May 1, 2014 by thanvigandhi_1

1 answer

Prove the following by using the principle of mathematical induction for all $n \in N$ \[\] $ 10^{2n-1}+1$ is divisible by 11.

asked May 1, 2014 by thanvigandhi_1

1 answer

Prove the following by using the principle of mathematical induction for all n ∈ N: \[\] $ n(n+1)(n+5) $ is a multiple of 3.

asked May 1, 2014 by thanvigandhi_1

1 answer

Prove the following by using the principle of mathematical induction for all n ∈ N: \[\] $1+2+3+...+n<\large\frac{1}{8}$$(2n+1)^2$

asked May 1, 2014 by thanvigandhi_1

1 answer

Prove the following by using the principle of mathematical induction for all $n \in N$ \[\] $ \large\frac{1}{3.5}$$+\large\frac{1}{5.7}$$+\large\frac{1}{7.9}$$+...+\large\frac{1}{(2n+1)(2n+3)}$$=\large\frac{n}{3(2n+3)}$

asked Apr 30, 2014 by thanvigandhi_1

1 answer

Prove the following by using the principle of mathematical induction for all $n \in N$ \[\] $ \large\frac{1}{1.4}$$+\large\frac{1}{4.7}$$+\large\frac{1}{7.10}$$+...+\large\frac{1}{(3n-2)(3n+1)}$$=\large\frac{n}{(3n+1)}$

asked Apr 30, 2014 by thanvigandhi_1

1 answer

Prove the following by using the principle of mathematical induction for all $n \in N$ \[\] $ 1^2+3^2+5^2+...+(2n-1)^2=\large\frac{n(2n-1)(2n+1)}{3}$

asked Apr 30, 2014 by thanvigandhi_1

1 answer

Prove the following by using the principle of mathematical induction for all $n \in N$ \[\] $ \bigg( 1+\large\frac{1}{1} \bigg)$$\bigg( 1+\large\frac{1}{2} \bigg)$$\bigg( 1+\large\frac{1}{3} \bigg)$$...\bigg( 1+\large\frac{1}{n} \bigg)$$=(n+1)$

asked Apr 30, 2014 by thanvigandhi_1

1 answer

Prove the following by using the principle of mathematical induction for all $n \in N$ \[\] $ \bigg( 1+ \large\frac{3}{1} \bigg)$$\bigg( 1+ \large\frac{5}{4} \bigg)$$\bigg( 1+ \large\frac{7}{9} \bigg)$$...\bigg( 1+ \large\frac{(2n+1)}{n^2} \bigg)$$=(n+1)^2$

asked Apr 30, 2014 by thanvigandhi_1

1 answer

Prove the following by using the principle of mathematical induction for all $n \in N$ \[\] $ a+ar+ar^2+...+ar^{n-1}=\large\frac{a(r^n-1)}{r-1}$

asked Apr 30, 2014 by thanvigandhi_1

1 answer

Prove the following by using the principle of mathematical induction for all $n \in N$ \[\] $ \large\frac{1}{1.2.3}$$+\large\frac{1}{2.3.4}$$+\large\frac{1}{3.4.5}$$+...+\large\frac{1}{n(n+1)(n+2)}$$=\large\frac{n(n+3)}{4(n+1)(n+2)}$

asked Apr 30, 2014 by thanvigandhi_1

1 answer

Prove the following by using the principle of mathematical induction for all $n \in N$ \[\] $ \large\frac{1}{2.5}$$+\large\frac{1}{5.8}$$+\large\frac{1}{8.11}$$+...+\large\frac{1}{(3n-1)(3n+2)}$$=\large\frac{1}{(6n+4)}$

asked Apr 29, 2014 by thanvigandhi_1

1 answer

Prove the following by using the principle of mathematical induction for all $n \in N$ \[\] $\large\frac{1}{2}$$+ \large\frac{1}{4}$$+\large\frac{1}{8}$$+...+\large\frac{1}{2^n}$$=1-\large\frac{1}{2^n}$

asked Apr 29, 2014 by thanvigandhi_1

1 answer

Prove the following by using the principle of mathematical induction for all $n \in N$ \[\] $1.2+2.2^2+3.2^2+...+n.2^n=(n-1)2^{n+1}+2$

asked Apr 29, 2014 by thanvigandhi_1

1 answer

Prove the following by using the principle of mathematical induction for all $n \in N$ \[\] $1.3+3.5+5.7+...+(2n-1)(2n+1)= \large\frac{n(4n^2+6n-1)}{3}$

asked Apr 29, 2014 by thanvigandhi_1

1 answer

Prove the following by using the principle of mathematical induction for all $n \in N$ \[\] $1.2+2.3+3.4+...+n.(n+1) \bigg[ \large\frac{n(n+1)(n+2)}{3} \bigg]$

asked Apr 29, 2014 by thanvigandhi_1

1 answer

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