Download App

The Straight Lines — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSThe Straight Lines3 Marks
Question
Find the angle between the X-axis and the line joining the points (3, -1) and (4, -2).
✓

Answer

Slope of the line segment joining the points (3, -1) and (4, -2) is
$\text{m}_1=\frac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}=\frac{-2-(-1)}{4-3}=\frac{-2+1}{4-3}=\frac{-1}{1}=-1$
Slope of x axis is 0
$\Rightarrow\text{m}_2=0$
If $\theta$ is the angle between x axis and the line segment then
$\tan\theta=\Big|\frac{\text{m}_1-\text{m}_2}{1+\text{m}_1\text{m}_2}\Big|$
$=\Big|\frac{-1-0}{1+(-1)(0)}\Big|$
$=\frac{-1}{1}=-1$
$\therefore\theta=135^\circ$

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

Explore more

More "3 Marks Question" from The Straight Lines→The Straight Lines — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

If $\text{f(x)}=\text{x}^3-\frac{1}{\text{x}^3},$ show that $\text{f(x)}+\text{f}\Big(\frac{1}{\text{x}}\Big)=0$
→
Prove that:$\frac{\cos8^\circ-\sin8^\circ}{\cos8^\circ+\sin8^\circ}=\tan37^\circ$$ $
→
How many different numbers, greater than 50000 can be formed with the digits 0, 1, 1, 5, 9.
→
Find the equation of the lines through the point (3, 2) which make an angle of 45°with the line x - 2y = 3.
→
If $\text{y}=\Big(\frac{2-3\cos\text{x}}{\sin\text{x}}\Big),$ find $\frac{\text{dy}}{\text{dx}}$ at $\text{x}=\frac{\pi}{4}$
→
Find the equation of the straight lines passing through the following pair of points:
$\text{(a, b)}$ and $(\text{a + c}\sin\alpha, \ \text{b + c} \ \cos\alpha)$
→
If $\tan\theta_1\tan\theta_2=\text{k},$ then $\frac{\cos(\theta_1-\theta_2)}{\cos(\theta_1+\theta_2)}=$
  1. $\frac{1+\text{k}}{1-\text{k}}$
  2. $\frac{1-\text{k}}{1+\text{k}}$
  3. $\frac{\text{k}+1}{\text{k}-1}$
  4. $\frac{\text{k}-1}{\text{k}+1}$
→
Express $\frac { 5 + \sqrt { 2 } i } { 1 - \sqrt { 2 } i }$ in the form of a + ib.
→
Evaluate:
$\lim\limits _{\text{x} \rightarrow \frac{1}{2}}\frac{4\text{x}^{2}-1}{2\text{x}-1}$
→
Find the sum of all integers between 100 and 550, wgich are divisible by 9.
→