Question
Line passing through (3, 4, 5) and (4, 5, 6) has direction ratios:
  1. $1,1,1$
  2. $\sqrt{3},\sqrt{3},\sqrt{3}$
  3. $\frac{-1}{\sqrt{3}},\frac{1}{\sqrt{3}},\frac{1}{\sqrt{3}}$
  4. $7,9,11$

Answer

  1. $1,1,1$

Solution:

Given points (3, 4, 5) and (4, 5, 6) The drs are given as (4 - 3, 5 - 4, 6 - 5) = (1, 1, 1)

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

The degree of the differential equation $\left(\frac{d^2 y}{d x^2}\right)^3+\left(\frac{d y}{d x}\right)^2+\sin \left(\frac{d y}{d x}\right)+1=0$ is __________ .
The solution of the differential equation, $2\, x^2y \frac{{dy}}{{dx}}  = \tan (x^2y^2) - 2xy^2$ given $y(1) = \sqrt {\frac{\pi }{2}} $ is
If X follows a binomial distribution with parameter $\text{n}=100$ and $\text{p}=\frac{1}{3},$ then P(X = r) is maximum when r = 
Choose the correct answer in each of the following:
The mean of the numbers obtained on throwing a die having written 1 on three faces, 2 on two faces and 5 on one face is
Choose the correct option from given four options:
$\int\frac{\text{x}^9}{(4\text{x}^2+1)^6}\text{dx}$ is equal to:
  1. $\frac{1}{5\text{x}}\Big(4+\frac{1}{\text{x}^2}\Big)^{-5}+\text{C}$
  2. $\frac{1}{5}\Big(4+\frac{1}{\text{x}^2}\Big)^{-5}+\text{C}$
  3. $\frac{1}{10\text{x}}(1+4)^{-5}+\text{C}$
  4. $\frac{1}{10}\Big(\frac{1}{\text{x}^2}+4\Big)^{-5}+\text{C}$
Suppose the solution of the differential equation $\frac{d y}{d x}=\frac{(2+\alpha) x-\beta y+2}{\beta x-2 \alpha y-(\beta \gamma-4 \alpha)} \quad$ represents a circle passing through origin. Then the radius of this circle is :
If f : A → B given by 3f(x) + 2-x = 4 is a bijection, then

  1. $\text{A}=\{\text{x}\in\text{R}:-1<\text{x}<\infty\},$ $\text{B}=\{\text{x}\in\text{R}:2<\text{x}<4\}$

  2. $\text{A}=\{\text{x}\in\text{R}:-3<\text{x}<\infty\},$ $\text{B}=\{\text{x}\in\text{R}:2<\text{x}<4\}$

  3. $\text{A}=\{\text{x}\in\text{R}:-2<\text{x}<\infty\},$ $\text{B}=\{\text{x}\in\text{R}:2<\text{x}<4\}$

  4. $\text{None of these.}$

If $y = {{{a^{{{\cos }^{ - 1}}x}}} \over {1 + {a^{{{\cos }^{ - 1}}x}}}}$ and $z = {a^{{{\cos }^{ - 1}}x}}$, then ${{dy} \over {dz}}=$
$\int\frac{\text{x}^3}{\text{x}+1}\text{ dx}$ is equal to:
  1. $\text{x}+\frac{\text{x}^2}{2}+\frac{\text{x}^3}{3}-\log|1-\text{x}|+\text{C}$
  2. $\text{x}+\frac{\text{x}^2}{2}-\frac{\text{x}^3}{3}-\log|1-\text{x}|+\text{C}$
  3. $\text{x}-\frac{\text{x}^2}{2}-\frac{\text{x}^3}{3}-\log|1-\text{x}|+\text{C}$
  4. $\text{x}-\frac{\text{x}^2}{2}+\frac{\text{x}^3}{3}-\log|1-\text{x}|+\text{C}$
If $\tan ^{-1} \frac{x-1}{x-2}+\tan ^{-1} \frac{x+1}{x+2}=\frac{\pi}{4},$ then find the value of $\mathrm{x}$