Download App

The Straight Lines — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsThe Straight Lines5 Marks
Question
Find the equations of the sides of the triangles the coordinates of whose angular points are respectively:
(0, 1), (2, 0) and (-1, -2).
✓

Answer

Let A(0, 1), B(2, 0) and C(-1, -2)then equation of side AB is
$\text{y}-\text{y}_1=\frac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}(\text{x}-\text{x}_1)$
$\text{y}-1=\frac{0-1}{2-0}(\text{x}-0)$
$\text{y}-1=-\frac{1}{2}(\text{x})$
$\text{x}+\text{2y}=2$
Equation of side BC is
$\text{y}-\text{y}_2=\frac{\text{y}_3-\text{y}_2}{\text{x}_3-\text{x}_2}(\text{x}-\text{x}_2)$
$\text{y}-0=\frac{-2-0}{-1-2}(\text{x}-2)$
$\text{y}=\frac{2}{3}(\text{x}-2)$
$\text{2x}-\text{3y}=4$
Equation of side AC is
$\text{y}-\text{y}_1=\frac{\text{y}_3-\text{y}_1}{\text{x}_3-\text{x}_1}(\text{x}-\text{x}_ 1)$
$\text{y}-1=\frac{-2-1}{-1-0}(\text{x}-0)$
$\text{y}-1=3(\text{x}-0)$
$\text{y}-\text{3x}=1$

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

Explore more

More "5 Marks Questions" from The Straight Lines→The Straight Lines — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

The probability of a person being alive in next $25$ years is $3 / 5$ and of his wife to be alive in same $25$ years is $2 / 3$. Calculate the probability of :
(1) both being alive,
(2) none being alive,
(3) at least one to be alive,
(4) only wife to be alive.
→
Determine the points yz-plane equidistant from the points $A(1, -1, 0), B(2, 1, 2)$ and $C(3, 2, -1).$
→
Sum the following series to n terms:
$3 + 7 + 14 + 24 + 37 + .....$
→
Five cards are drawn from form a pack of $52$ cards. what is the chance that these $5$ will contain:
  1. Just one ace
  2. At least one ace.
→
Let f = {(2, 4), (5, 6), (8, – 1), (10, – 3)}
g = {(2, 5), (7, 1), (8, 4), (10, 13), (11, 5)}
be two real functions. Then Match the following:
Column IColumn II
(a)$​​\text{f}-\text{g}$(i)$\Big\{\Big(2, \frac{4}{5}\Big), \Big(8, \frac{-1}{4}\Big), \Big(10, \frac{-3}{13}\Big)\Big\}$
(b)$\text{f}+\text{g}$(ii)$\{(2, 20), (8, -4), (10, -39)\}$
(c)$\text{f}\times\text{g}$(iii)$\{(2, 1), (8, -5), (10, -16)\}$
(d)$\frac{\text{f}}{\text{g}}$(iv)$\{(2, 9), (8, 3), (10, 10)\}$
→
Let f and g be two real functions defined by $\text{f(x)}=\sqrt{\text{x}+1}$ and $\text{g(x)}=\sqrt{9-\text{x}^2}$ Then describe the following functions:
$\frac{\text{f}}{\text{g}}$
→
Prove that:
$\cos(\text{A+B+C})+\cos(\text{A}-\text{B+C})+\cos(\text{A+B}-\text{C})\\+\cos(-\text{A+B+C})=4\cos\text{A}\cos\text{B}\cos\text{C}$
→
Differentiate the following from the first principle$\text{e}^{\sqrt{\text{ax}+\text{b}}}$
→
Prove the following by the principle of mathematical induction:
$11^{n+2} + 122^{n+1} $is divisible of $133$ for all $\text{n}\in\text{N}$
→
Sketch the graphs of the following functions:
$\text{f(x)}=\tan2\text{x}$
→