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The distance of the point $(-1,2,6)$ from the line through the point $(2,3,-4)$ along the vector $6\hat i+3\hat j-4\hat k$ is ?

asked Jan 3, 2014 by rvidyagovindarajan_1

1 answer

Find 3 Geometric means between $\large\frac{1}{3}$ and 432.

asked Jan 3, 2014 by yamini.v

1 answer

Insert two geometric means between 4 and 256 .

asked Jan 3, 2014 by yamini.v

1 answer

The lines $\overrightarrow r=\overrightarrow a_1+\lambda\overrightarrow b_1$ and $\overrightarrow r=\overrightarrow a_2+\alpha \overrightarrow b_2$ are coplanar if ?

asked Jan 3, 2014 by rvidyagovindarajan_1

1 answer

If $a, b, c$ ---- $l$ is a GP, find the sum of the series.

asked Jan 3, 2014 by yamini.v

1 answer

If the plane $\large\frac{x}{2}+\frac{y}{3}+\frac{z}{4}=1$ cuts the coordinate axis in $A,B,C$ respectively, then the area of the $\Delta\:ABC$ is ?

asked Jan 2, 2014 by rvidyagovindarajan_1

1 answer

The image of the point $P(1,3,4)$ in the plane $2x-y+z+3=0$ is ?

asked Jan 2, 2014 by rvidyagovindarajan_1

1 answer

If $L\rightarrow\:\:\large\frac{x-1}{3}=\frac{y+1}{2}=\frac{z-3}{-1}$ and the plane $P\rightarrow\:\:x-2y-z=0$ , then which of the following is true?

asked Jan 2, 2014 by rvidyagovindarajan_1

1 answer

Find the sum of first 25 terms of the sequence 5,5.5,5.55,5.555-----------

asked Jan 2, 2014 by yamini.v

0 answers

How many terms of the series $6, 3, \large\frac{3}{2}$ ------ will make a sum of $\large\frac{765}{64}$ .

asked Jan 2, 2014 by yamini.v

1 answer

How many terms of the series $\sqrt2$ , 2, $2\sqrt2$ ,------- will make a sum of $62+31\sqrt2$ ?

asked Jan 2, 2014 by yamini.v

1 answer

If the sum of n terms of the AP 55, 57, 59------ is equal to the sum of first 2n terms of the AP 1, 4, 710--------then n equals

asked Jan 2, 2014 by yamini.v

1 answer

What is the harmonic mean of the two roots of the following equation $(5+\sqrt2)x^2-(4+\sqrt5)x+8+2\sqrt5=0$

asked Jan 2, 2014 by yamini.v

1 answer

The coordinates of the point on the line through $(3,-4,-5)$ and $(2,-3,1)$ at which the line crosses the plane $2x+y+z=5$ is ?

asked Jan 2, 2014 by rvidyagovindarajan_1

1 answer

The distance of the point $(-1,-5,-10)$ from the point of intersection of the line $\overrightarrow r=(2\hat i-\hat j+2\hat k)+\lambda(3\hat i+4\hat j+12\hat k)$ and the plane $\overrightarrow r.(\hat i-\hat j+\hat k)=5$ is ?

asked Jan 2, 2014 by rvidyagovindarajan_1

1 answer

In an AP of 10 numbers and a HP of 10 numbers, the first term and last term are the same and equal to 2 and 3. Find the value of product of fourth term of the AP and the seventh term of the HP.

asked Jan 2, 2014 by yamini.v

1 answer

The third term of a GP is 2. Calculate the product of the first 5 terms.

asked Jan 2, 2014 by yamini.v

1 answer

If from the point $P(a,b,c)$ perpendiculars $PA$ and $PB$ are drawn to $yz$ and $zx$ planes respectively then the vector equation of the plane $OAB$ is ?

asked Jan 2, 2014 by rvidyagovindarajan_1

1 answer

If the p and q are roots of the equation $x^2-7x+A=0\;\xi\;r\;\xi\;s$ are roots of equation $x^2-19x+B=0,$ find the values of $A\;\xi\;B$ if p,q,r,s are in AP.

asked Jan 2, 2014 by yamini.v

1 answer

The sum of integers from 1 to 200 that are divisible by 2 or 5 is

asked Jan 2, 2014 by yamini.v

1 answer

If $a, b, c$ are in $AP$ and $a^2,b^2,c^2$ are in $HP$ , how are $a, b$ and $\large\frac{-c}{2}$ related?

asked Jan 2, 2014 by yamini.v

1 answer

If the $i^{th},j^{th}\; and\; k^{th}$ term of an AP and a GP are equal and are $x,y,z$ find the value of $x^{(y-z)}\;.y^{(z-x)}\;.z^{(x-y)}$

asked Jan 2, 2014 by yamini.v

1 answer

If a $\xi\;b$ are two positive integers,x is their AM and $y\;\xi\;z$ are two GMs then calculate the value of $\frac{y^3+z^3}{xyz}$

asked Jan 2, 2014 by yamini.v

1 answer

If the harmonic mean H and geometric mean G of two positive numbers a and b are in ratio 3:5, then a and b are in the ratio

asked Jan 2, 2014 by yamini.v

1 answer

In a triangle $\bigtriangleup ABC$ ,a,b,c are its sides ,A,B $\xi\;$ C are its angles, if $\cot A,\cot B\;\xi\;\cot C$ are in AP , the a,b, and c are in which progression?

asked Jan 2, 2014 by yamini.v

1 answer

An infinite GP has its first term as x and sum is 6 , then which of the following is true?

asked Jan 2, 2014 by yamini.v

1 answer

If 5, x, y, z, 1280 are in GP, what are the values of x, y, z.

asked Jan 2, 2014 by yamini.v

1 answer

If the $4^{th}$ term of a GP is the square of its second term and the first term is -2. Find the $7^{th}$ term of the GP.

asked Jan 2, 2014 by yamini.v

1 answer

Given that a,b $\xi$ c are in AP,which of the following is true?

asked Jan 2, 2014 by yamini.v

1 answer

The equation of the plane whose foot of $\perp$ drawn from origin is $(1,2,1)$ . is?

asked Jan 1, 2014 by rvidyagovindarajan_1

1 answer

The equation of the plane that meets the coordinated axis at the points $A,B,C$ respectively so that the centroid of the $\Delta ABC$ is $(\alpha,\beta,\gamma)$ is ?

asked Jan 1, 2014 by rvidyagovindarajan_1

1 answer

The direction ratio of the line $3x+1=6y-2,\:z=1$ is ?

asked Jan 1, 2014 by rvidyagovindarajan_1

1 answer

Find 3 numbers in AP whose sum is 18 and the sum of its cube is 972.

asked Jan 1, 2014 by yamini.v

1 answer

The point on the line $\overrightarrow r=(-2\hat i-\hat j+3\hat k)+\lambda(3\hat i+2\hat j+2\hat k)$ which is at a distance of $3\sqrt 2$ units from the point $(1,2,3)$ is ?

asked Jan 1, 2014 by rvidyagovindarajan_1

1 answer

Find n such that is $\large\frac{512}{729}\;$ is the nth term of the GP 18,-12,8,-----------------

asked Jan 1, 2014 by yamini.v

1 answer

The equation of a line that are equally inclined with the coordinate axis and and which passes through $(-1,2,3)$ is?

asked Jan 1, 2014 by rvidyagovindarajan_1

1 answer

The angle between the lines whose $d.c.$ are given by the equations $3l+m+5n=0$ and $6mn-2nl+5lm=0$ is?

asked Jan 1, 2014 by rvidyagovindarajan_1

1 answer

Find n where 1536 is the nth term of the series 3,6,12---------------

asked Jan 1, 2014 by yamini.v

1 answer